Graphing Quadratic Functions (help please )

Find the vertex and zeros of each graph, then make a graph of each function. Label the vertex and zeros of each graph.

1. f(x) = - 2(x - 4) (x + 6). 4. Y = -(x - 4)^2 + 11
Vertex = _______
Zeros = _______
Vertex = _______

Zeros = _______


2. Y= 3(x + 1)(x + 6)

Vertex =_______
Zeros =_______


3. Y= -2(x - 4) (x + 6)

Vertex =______

Zeros =_______

Answers

Answer 1

Answer:

#1

Zeroes: x = 4, x = -6

The vertex is at ( -1 , 50 )

Step-by-step explanation:

I'll do the first one, you try the rest

All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)

f(x) = -2(x-4)(x+6)

The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6

Zeroes: x = 4, x = -6

The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)

First expand f(x)

-2(x^2 + 2x - 24) => -2x^2 - 4x + 48

b = -4 and a = -2

-(-4)/2(-2) = 4/-4 = -1

the x-value of the vertex is -1

Now substitute -1 as x to find the y-value of the vertex

-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex

The vertex is at ( -1 , 50 )


Related Questions

ASAP WHO EVER ANSWERS THIS WILL RECIEVE BRANLIEST

Answers

The answer is 50
The ratio of boys to girls is 10:25 in the school
If sample has 20 boys (10x2) then based on ratio it would likely have 50 girls (25x2)

And left or right units

Answers

Answer:

i belive the first up 3 un its and the second is 5

Step-by-step explanation:i think i had this  on a test question if wrong pls tell me will help through it

1.       Andrea y Margarita decidieron compartir gastos en un apartamento, de manera proporcional a sus sueldos. Si Andrea gana $650.000 y Margarita gana $950.000 y, además los gastos de la casa son de $1’100.000 ¿Cuánto debe aportar cada una?​

Answers

500,000 creo yo no sé puede ser

Find the exact perimeter of quadrilateral ABCD plotted below. These are the points:

A(-5,-2)
B(1,5)
C(5,-2)
D(2,-6)

Choose 1 answer:
A: 5 + √85 + 2√65
B: 5 + 2√85 + √65
C: √10 + 2√85 + √65
D: 19 + 2√65​

Answers

The exact perimeter of the quadrilateral ABCD plotted is 5 + √85 + 2√65.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The perimeter of the quadrilateral ABCD is plotted. These are the points:

A(-5,-2)

B(1,5)

C(5,-2)

D(2,-6)

The distance of AB

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(1-(-5))^2 + (5-(-2))^2} \: \rm units.\\\\D = \sqrt{85}[/tex]

The distance of BC

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(5-(1))^2 + (-2-(5))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]

The distance of CD

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]

The distance of AD

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(-5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = 5[/tex]

Therefore, The perimeter of the quadrilateral ABCD is 5 + √85 + 2√65.

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ2

A dolphin jumps out of the water with an initial velocity of 20 feet per
second (assume its starting height is O feet). Use the vertical motion
model, h = - 16t2 + vt +8, where v is the initial velocity in feet per
second and s is the height in feet, to calculate the amount of time the
dolphin is in the air before it hits the water again. Round your answer
to the nearest tenth if necessary.
Time in air: seconds

Answers

Answer:

1.6 Seconds

Step-by-step explanation:

The equation would be h(t)=-16t^2+20t+8 since 20 is the velocity, and once you input that onto a graph the answer of when it hits the ground is 1.569 seconds, so rounded is 1.6 seconds.

Which expression is equivalent to 4(2x +3)?

a.4 + 2x + 4 +3
8x + 12

c.8x + 3

d.
4 + 2x + 12

Answers

Answer:

c 8x+3 all you do is multiply 4 and 2 to get 8 and add an x

i beg of yall a crown, 5 stars, a heart and a ty comment to answer my questions iv posted on my profile, ill be posting more too.

Answers

Answer:

I would say the answer is $5.00/lb

Have a wonderful day!

find the radius circumference of this circle

Answers

Answer:

YOUR QUESTION IS NOT COMPLETE WITHOUT MENTIONING ANY FOLLOWING NUMBERS WE CANNOT FIND THE CIRCUMFERENCE OR diameter,radius....

hi guys
please help ​

Answers

Answer:

- 1

Step-by-step explanation:

Multiplying a negative quantity by a negative quantity results in a positive.

Also multiplying by 1 leaves the other value as is, then

- 1 × - [tex]\frac{7}{11}[/tex] = [tex]\frac{7}{11}[/tex]

The answer is definitely -1

Each quadrilateral below is a parallelogram. Find the missing measures

Answers

Answer:

[tex]ST=3[/tex], [tex]VT=10[/tex], [tex]m[/tex]∠[tex]V=48[/tex]°, [tex]m[/tex]∠[tex]T=132[/tex]°

Step-by-step explanation:

In a parallelogram, opposite sides are congruent and therefore have the same length. Thus, [tex]ST=RV=3[/tex] and [tex]VT=RS=10[/tex].

Similarly, opposite angles in a parallelogram are congruent and therefore have the same measure. Thus, [tex]m[/tex]∠[tex]V=m[/tex]∠[tex]S=48[/tex]° and [tex]m[/tex]∠[tex]T=m[/tex]∠[tex]R=132[/tex]°. Hope this helps!

Please only show me the check how you get the check from 1 to 5

Answers

The answers and solution from 1-5 is below. Hope this helps.

I WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

4th answer

Step-by-step explanation:

Im a genius

Answer:

B.

Step-by-step explanation:

Hope this helps

each side of a square is 3 inches long. A student increases the length of each side by 3 inches. the area of the new square is how many times the area of the original square.​

Answers

Answer:

4 times larger

Step-by-step explanation:

3² = 9

(3+3)² = 36

36 is four times larger than 9

ASAP PLASE HELP AND SHOW WORK
Each choice below describes the lengths of the sides of a triangle. Select all the triangles that must be right triangles.

Triangle a- √3,√4,√5

Triangle b- 3,4,5

triangle c- 2,4,6

Triangle d- √2,√4√6

Answers

Answer:

triangle b and triangle d

Step-by-step explanation:

3^2+4^2=5^2

2+4=6

Answer:

Triangle b- 3,4,5

5²=3²+4²

Triangle d- √2,√4√6

(√6)²=(√2)²+(√4)²

If 100 soldiers can eat 100 dozen rations in a week, how long will it take 400 soldiers to eat 400 dozen rations?

Answers

Answer:

1 week

Step-by-step explanation:

100 soldiers / 100 dozen = 1 soldier / 1 dozen

400 soldiers / 400 dozen = 1 soldier / 1 dozen

Therefore, it also takes a week for 400 soldiers to eat 400 dozen rations

Write down the solution to these simultaneous equations. y=2x + 1 and y= 0.5x - 2

Answers

Answer:

(-2, -3)

Step-by-step explanation:

y=2x + 1

y= 0.5x - 2

2x+1= 0.5x -2

1.5x= -3

x= -2

y= 2x+ 1

y= 2(-2)+1

y= -3

The solution is (-2,-3)

The solution to the set of simultaneous equations is; (-2, -3)

We are given the equations;

y = 2x + 1   ---(eq 1)

y = 0.5x - 2   ---(eq 2)

subtract eq 2 from eq 1 to get;

0 = 2x - 0.5x + 1 - (-2)

0 = 1.5x + 3

x = -3/1.5

x = -2

Thus;

y = 2(-2) + 1

y = -4 + 1

y = -3

Read more at; https://brainly.com/question/12647791

5.
Solve the equation
15 - 4x = 2(3x + 1).

Answers

[tex]\huge\boxed{\ x=13/10 } :)[/tex]

My steps:

First thing we do is: Rearrange terms

15−4x=2(3x+1)−4x+15=2(3x+1)

Second thing we do is: Distribute

−4x+15=2(3+1)−4x+15=6x+2

Third thing we do is : Subtract  15 from both sides of the equation

−4x+15=6x+2−4x+15−15=6x+2−15

Then you carry on and find solution:

x=13/10

Hope this help's!

1 and 2 I need this before 10 pm please ASAP I need it quick or I get a bad grade

Answers

Answer:

A. 6 feet

B. 38 feet of fencing total

Step-by-step explanation:

a. We are given 78 square feet as the total area that the fence encloses. Given this, we can use the A=l*w to solve for the side lengths.

A=l*w

Plug in known variables and simplify...

Step 1: Subtract 78 from both sides.

x^2+7x−78=78−78

x^2+7x−78=0

Step 2: Factor left side of equation.

(x−6)(x+13)=0

Step 3: Set factors equal to 0.

x−6=0 or x+13=0

x=6 or x=−13

For this case we will need to use the positive value.

so to check the answer, we can plug in 6 for x and check if it will equal 78.

(6+7)(6)

13*6

78

b. now given the value of x, we need to solve for the total amount of fencing by finding the perimeter.

We already know that one side is 6+7 or 13, and the other side is 6, so to find perimeter we use the formula 2l+2w

and solve...

2*13+2*6

26+12

38

What is the center and radius of this circle? HELP!

Answers

Answer:

Center: at the point (-3, 2)

Radius: 3 units

I need help and show work​

Answers

A = 22 x 60 = 1320

B = 60 x 60 = 3600

Hope this helps. I'm not smart ;w;

Jayson said, "I am thinking of two fractions that when added have a sum of 1." Which fractions could Jayson have been thinking about?

Answers

Answer:

he could have been thinking of 1/2 + 1/2 or 4/8 + 4/8 or maybe 5/10 + 5/10

because 2/2=1 and so does 8/8 and 10/10

Step-by-step explanation:

I Need help with this

Answers

Answer:

9 Miles

Step-by-step explanation:

Distance = Speed×Time

12× (45/60)

Why is it useful to know how much yellow water should be used with 1 ml of blue water?
Help me plz!!

Answers

Answer:

It is very useful because now, we use Diagrams and labels.

Step-by-step explanation:

Answer:

let me see

Step-by-step explanation:

The figure is a parallelogram.
True false

Answers

Answer:

Which picture?

Step-by-step explanation:

Also I am guessing false but I don't see the picture

what is 98 = u/7
PLz help

Answers

Answer:

u=686

Step-by-step explanation:

98=u/7

7*98=7*u/7

u=686

Solve for x, then find the perimeter. You should select TWO answer choices.
18
3x
52
T
12
B
D
V
a
P= 140
x = 6
C
x = 18
d
P= 128

Answers

Answers:

x = 6 and P = 128

=================================================================

Explanation:

The tangents CT and CU are equal to each other. The rule is that tangent segments that meet at a common point are the same length.

Let's solve for x

CT = CU

3x = 18

x = 18/3

x = 6

Because CT = 18, this makes BC = BT+TC = 12+18 = 30

---------------------------

For similar reasoning as mentioned earlier, we can say tangents BT and BV are the same length. This means BV = 12.

Segment CD = 52 and CU = 18, which makes UD = CD-CU = 52-18 = 34

From there, we can say segment DV = 34 also. This leads to BD = BV+VD = 12+34 = 46

Triangle BCD has the three sides

BC = 30CD = 52BD = 46

The perimeter is

P = sum of the three sides

P = (side1)+(side2)+(side3)

P = BC + CD + BD

P = 30+52+46

P = 82+46

P = 128

Find the value of r so the line that passes through each pair of points has the given slope.
(1, r), (7, 5), m = 2/3

Answers

Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x  = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

[tex]\frac{5-r}{6}=\frac{2}{3}[/tex]

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

[tex]5 - r = 4[/tex]

subtract 5 from both sides

[tex]-r=-1[/tex]

multiply both sides by -1

[tex]r=1[/tex]

Where do you see rotation in our lives/world?

Answers

Answer:

There's a rotation in our schedule if things we do everyday.

Step-by-step explanation:

Hope this helps :D

There’s a rotation in our schedule

5

Jill built a robot to enter a race at her school. The robot travels 8 meters in 3 seconds.

how many meters can the robot travel in each second?

Answers

Answer:

8 is answer why can't I send

14. The table below represents an inverse
variation function. What is the constant of
variation?
SHOW ALL WORK !!

Answers

Step-by-step explanation:

Let xy = k, where k is the constant of variation.

By using values of x and y in the table,

we see that (2)(48) = (4)(24) = (12)(8) = 96.

Hence k = 96, which is our answer.

Other Questions
what does the allusion, "...like cinderellas stepsisters peening for the ball" most likely mean pls hurry will give brainliest ty What is the distance between the points (6,2) and (1,-5)PLEASE ANSWER QUICK How can the media have an influence on public opinion?A. By publishing the results of an important electionB. By lobbying Congress to change election rulesO C. By filing lawsuits against laws that affect votingD. By selecting words or images that persuade people to think acertain waySUBMIT help me pleasee and also could you explain bc im so confused Find the length of the shorter leg in the triangle pictured below x=6 x=24X=12X=12 square root 3X=36 Who was the President of the United States at the end of the war?Question 6 options:Harry TrumanFranklin RooseveltWinston Churchill ASAP plss help me question 16 and 17 thank you let f(x)=x^2 +2 and g(x)=1-3x. find each function value: (fg)(-1) solve the following problemsAnswer:Explanatoin: plss help give u 10 ptsWhat is the purpose of a Constitution? a. Legal documents that give all power to the citizens b. Legal document that gives all power to the government c. Legal documents that call for appointing a King in emergency situations d. Legal documents that outline the role of the government and protect the rights of the citizens Floyd Industries stock has a beta of 1.25. The company just paid a dividend of $.40, and the dividends are expected to grow at 5 percent per year. The expected return on the market is 12 percent, and Treasury bills are yielding 5.0 percent. The most recent stock price for Floyd is $67. a. Calculate the cost of equity using the DDM method. (Round your answer to 2 decimal places. (e.g., 32.16)) DCF method % b. Calculate the cost of equity using the SML method. Sumita is following this recipe to make flapjacks.Sumita uses 25 g of sultanas.How many flapjacks is Sumita making?Recipe: Makes 14 flapjacks250 g margarine175 g sugar125 mL syrup250 g oats50 g sultanas write any four advantage of physical exercise Solve -4x What are two reasons why a president may issue a signing statement? HELP FAST Help with this Im so bad at English, I will mark brainliest! A student is performing experiments on a particular substance. Whichstatement is an observation of a chemical property of the substance?O A. It melts.O B. It burns.O C. It floats.O D. Electricity cannot pass through it.Will give brainly if its correct but if ur gonna guess dont answer please urgent please help If 16 of 200 apples were bad, what percent is that?-8%-10%-12%-16%