find the vertex, the equation and axis of symmetry, and the y-intercept of the graph of y=x^2+4x+6

Answers

Answer 1

Answer:

y-int.=6; vertex equation: y= (x - 2)² + 10; vertex: (2, 10); axis of symmetry: x = 2

Step-by-step explanation:

The c value can be used as the y-int.: y=6

vertex form: a(x-h)²+ k

vertex form of this equation:

use completing the square method

y=x²+4x+6

take b, it, divide it in half, then square it (b/2)². b/2 is your h value. Add (b/2)² to c to get your k value

y= x²+4x + 2² + 6

y= (x - 2)² + 4 + 6

vertex equation:

y= (x - 2)² + 10

vertex: (2, 10)

axis of symmetry:

use the h value: x = 2


Related Questions

Find the measure of angle b

please help:)

Answers

See photo. Hope it helps

is y = 5x + 2 greater than y = 3x + 15

Answers

Answer:

no y = 3x +15 is greater

Step-by-step explanation:

Scuba diving, Elisa descends at a rate of 7 1/2 feet per minute. How long 2
will it take her to reach a depth of 90 feet?

Answers

Answer:

12 minutes

Step-by-step explanation:

90/7.5 = 12 minutes

Find the area of the sector. Use 3.14 for the value of 5. Round your answer to the nearest tenth.

Answers

Answer:

12.56m^2

Step-by-step explanation:

a = piR^2

The area of a sector of a given circle is 37.7 m².

Given that, the radius of a circle=4 m and the central angle of a circle=270°.

What is the formula to find the area of a sector?

The area of a sector is the space inside the section of the circle created by two radii and an arc. It is a fraction of the area of the entire circle.

The formula to find the area of a sector is θ/360°(πr²).

Where r is the radius of the circle and θ is the angle of the sector.

Now, area=270°/360°(3.14×4×4)=37.68≈37.7 m².

Therefore, the area of a sector of a given circle is 37.7 m².

To learn more about the area of a sector visit:

https://brainly.com/question/7512468.

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Find the solution to the following system using substitution or elimination:​

Answers

Answer:

D. (-2, 1).

Step-by-step explanation:

y = 3x + 7

y = -2x - 3

AS the expressions on the right are both equal to y:

3x + 7 = -2x - 3

3x + 2x = -3 - 7

5x = -10

x = -2

Plug this into the first equation:

y = 3(-2) + 7

y = 1.

Answer:

D, -2, 1

Step-by-step explanation:

Just got it correct on ap-x


The price of a pillow was reduced from $80 to $60. By what percentage was the price of the
pillow reduced

Answers

The pillow was reduced 20%

help me please someone...........​

Answers

1. 2 pie (6.5) = 40.84 2. 2 pie (3)= 18.85

A DVD has a diameter of 14 cm. What is the area of the DVD in square centimeters? Round your answer to the nearest hundredth.
a. 153.86
b. 43.96
c. 2461.76
d. 615.44

Answers

Answer:

A

Step-by-step explanation:

Area of a circle = [tex]A = \pi r^{2} \\[/tex]

R = 1/2 diameter

R = 14 / 2 = 7

A = π(7)²

A = 153.86

Answer:

a

Step-by-step explanation:

Use the Daily Compounding chart in your book to answer the following question. Alana Geltner deposited $2,250 in a savings account that pays 5.5 percent interest compounded daily. How much interest did she earn after 130 days?

Answers

Answer:

$2,369,136.10

Step-by-step explanation:

she earned $2,369,136.10 in interest after 130 days

Explain how you went about finding a solution to the problem. We want to go to zoo. 7 adult tickets and 7 kids tickets equal 50 dollars. Adult tickets are twice as expensive as the kid’s ticket. How much do the tickets cost?

Answers

Answer:

Cost of Kid's tickets =16.66

Cost of Adult's ticket =33.34

Step-by-step explanation:

Adult Tickets=7

Kids Tickets=7

Both total = 50$

So 14 tickets =50$

Now: Lets the cost of kid's ticket=x

The Cost of Adult's tickets be 2x

=so (x+2x)=50$

=3x=50$

=x=16.67 for 7tickets

Cost of Kid's tickets =16.66

Cost of Adult's ticket =33.34

Hope It Helps

The number of minutes spent talking on the phone, m, and the amount of a cell phone bill, a. What is the independent variable

Answers

Answer: the independent variable would be m (minutes spent talking on the phone)

Explanation: the cell phone bill will be affected by how many minutes is spent talking on the phone. However the nothing will affect how many minutes is spent on the phone.

Math Problem Below.
Match Each Expression from the column on the left to an equivalent expression in the column on the right.

Answers

Required Answer:

1. 5a - 8b + 7b + 3a

→ 5a + 3a - 8b + 7b

→ 8a - b ★

2. -5a + 8b - 7b - 3a

→ -5a - 3a + 8b - 7b

→ -8a + b ★

3. 5a + 8b - 7b + 3a

→ 5a + 3a + 8b - 7b

→ 8a + b ★

4. -5a - 8b + 7b - 3a

→ -5a - 3a - 8b + 7b

→ - 8a - b ★

Final answers ;

[tex] \boxed {\sf { 5a - 8b + 7b + 3a = 8a - b } } [/tex]

[tex] \boxed {\sf { -5a + 8b - 7b - 3a = -8a + b } } [/tex]

[tex] \boxed {\sf {5a + 8b - 7b + 3a = 8a + b } } [/tex]

[tex] \boxed {\sf {-5a - 8b + 7b - 3a = - 8a - b} } [/tex]

Question:-

5a – 8b + 7b + 3a

Solution:-

5a – 8b + 7b + 3a

= 5a + 3a – 8b + 7b

= 8a b ( Answer )

________________________________________________

Question:-

–5a + 8b – 7b – 3a

Solution:-

–5a + 8b – 7b – 3a

= –5a – 3a + 8b – 7b

= 8a + b ( Answer )

________________________________________________

Question:-

5a + 8b – 7b + 3a

Solution:-

5a + 8b – 7b + 3a

= 5a + 3a + 8b – 7b

= 8a + b ( Answer )

________________________________________________

Question:-

–5a – 8b + 7b – 3a

Solution:-

–5a – 8b + 7b – 3a

= –5a – 3a – 8b + 7b

= 8a b ( Answer )

________________________________________________

[tex] \bf Hope \: it \: helps \: you [/tex] .

What is the value of x?

Answers

Step-by-step explanation:

63+2x+8+x+7= 180

3x+78 = 180

3x=102

x=34

A meat seller bought 250kg of meat for 224 Ghana cedis.At what price pre kg should he retail it in order to get 25% profit

Answers

Answer: 1.12 Ghana Cedis

Step-by-step explanation:

First find the cost per kg:

= Amount spent / kg

= 224/250

= 0.90 Cedis per kg

In order to make a profit of 25%, the amount to charge per kg is:

= Cost per kg * ( 1 + makeup)

= 0.90 * (1 + 25%)

= 1.12 Ghana Cedis

can someone explain how to do this?​

Answers

Answer:

i=d ii=c iii=b iv=a

Step-by-step explanation:

You can find slop by doing rise/run Or the increase in y over increase in x

You read the graph left to right just like a  sentence so if the line is going down from left to right the slope is negative :)

What is the exact distance from (-4, -2) to (3, 8) on the coordinate plane?

√37 units
√85 units
√101 units
√149 units

Answers

Answer:

√149 units

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[3 - (-4)]² + [8 - (-2)]²

√(7)² + (10)²

√49 + 100

√149

What would this answer be if i solved for x?

SOLVE FOR X

x + 67

x + 127

Answers

Answer:

X+67=0

X=-67

X+127=0

X=-127

Step-by-step explanation:

Jane ordered a few moving boxes from a local store as she is relocating to Atlanta. She returned 28 damaged boxes. She allotted the remaining boxes equally for each of the four rooms from which her belongings had to be packed. If 5 boxes were used for each room, how many boxes did she receive from the store initially?

Answers

Answer:

17

Step-by-step explanation:

What’s the answer?!!!!!!!

Answers

Answer:

no

[tex] {16}^{2} + {35}^{2} is not equal {41}^{2} [/tex]


Use 5 miles = 8 km to convert 18 mph to m/s.
Give your answer as an integer.

Answers

Answer:

8 m/s.

Step-by-step explanation:

18 miles = 18*8/5 = 28.8km

28.8 km = 28.8 * 1000

= 28,800 m.

There are 3600 seconds in an hour.

Therefore:

28800 meters per hour = 28800/3600

= 8 m/s.

I need help guys. I don't understand this. I tried to work this out but what i got didn't have an option for it. Can you leave all the notes. Anybody????????????

Answers

Answer:

7.5 i belive

Step-by-step explanation:

area= lenghthx width thats the formula 3mm converted is 3 cm 3cmx2.5=7.5

PLEASE HELP !!!!!!! what is the coordinate of the vertex of the following parabola: (x-1)^2=12(y+2)

a. (-1, 2)
b. (1, 2)
c. (1, -2)
d. (0, 12)

Answers

C. If you go to a website called Desmos and type in your equation, it’ll give you the parabola. :)

The coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.

What is the equation of the parabola?

The set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the fixed line) in the plane is a parabola. The fixed line is the ‘directrix’ and the fixed point is the ‘focus’. The point of intersection of the parabola with the axis is the vertex.

For the given situation,

The equation of parabola is [tex](x-1)^2=12(y+2)[/tex] ------ (1)

The diagram below shows the parabola and the vertex of the equation of parabola.

The general form of the equation of parabola is

[tex](x-h)^{2} =4a(y-k)[/tex]

Here the vertex is (h,k)

Now compare the equation 1 with this general form, we get

⇒ [tex]h=1[/tex] and [tex]k=-2[/tex]

Hence we can conclude that the coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.

Learn more about equation of the parabola here

https://brainly.com/question/20333425

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PLEASE HELP LAST ONE

Answers

Answer:

please the answer is C which is; x is about 4•0 and y is about 14•6

Solve the following system of equations algebraically:
y = – 4x + 22
y = 3x + 10

Answers

Answer:

Answer

Step-by-step explanation:

y=-4x+22

x=(11/2,0)

y=(0,22)

y=3x+10

x=(-10/3,0)

y=(0,10)

Help please 10 pointssss

Answers

Answer:

c

Step-by-step explanation:

On a mathematics test, Michael received a score of 75%. If each problem counted equally, and Michael had 9 problems correct, then how many problems were on the test?

Answers

Answer:

There were 12 problems.

Step-by-step explanation:

75/100=9/x

75x=900

x=12

Rewrite –220° in radians. Write the solution as a fraction in simplest form.

Answers

Answer:

- [tex]\frac{11\pi }{9}[/tex]

Step-by-step explanation:

To convert degrees to radians

radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then

radian measure = - 220 × [tex]\frac{\pi }{180}[/tex] ( divide 220 and 180 by 20 )

                           = - [tex]\frac{11\pi }{9}[/tex]

Shady rivers summer cam has 188 campers this week. If there are 22 campers to each cabin what is the fewest numbers of cabins needed

Answers

188/22 = 8.54
Round it to 9

find the measure of arc VF. (look at the picture provided) please help

Answers

Answer:

60degrees

Step-by-step explanation:

Using the theorem that states that angle at the vertex is half the difference of the angles at the intercepted arcs

Angle at vertex can be gotten by taking the difference of 119 and 65

Angle at the vertex = 119 - 65

Angle at the vertex = 54

Hence;

54 = 1/2(168-VF)

Cross multiply

54  * 2 = 168-VF

108 = 168 - VF

VF = 168 - 108

VF = 60degrees

Hence the measure of arc VF is 60degrees

a movie theater sold 155 aldult tickets and 230 children ticket to a movie in total the theater made 1285.50 in ticket sales mrz Ramirez paid 53.75 for 2 adults tickets and 3 children tickets

what is the cost for one adult ticket
need answer asap​

Answers

Answer:15,368

Step-by-step explanation:

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