Mathematics High School

Which is an example of a quadratic function whose graph opens downward and has its vertex at (0, 1)?

A. y = −x^2 + 1
B. y = x^2 + x − 1
C. y = x^2 + 4x + 1
D. y = x^2 − 1

Answers

Answer 1

Given:

The graph of a quadratic function opens downward and has its vertex at (0, 1).

To find:

The quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]          ...(i)

Where, a is a constant and (h,k) is the vertex.

If a<0, then graph opens downward and if a>0, then graph opens upward.

It is given that the quadratic function opens downward and has its vertex at (0, 1). It means a must be negative.

Putting h=0 and k=1 in (i), we get

[tex]y=a(x-0)^2+1[/tex]

[tex]y=ax^2+1[/tex]

For [tex]a=-1[/tex],

[tex]y=(-1)x^2+1[/tex]

[tex]y=x^2+1[/tex]

So, option A is correct.

In other options the leading coefficient is positive it means their graphs open upward. So, options B, C and D are incorrect.

Therefore, the correct option is A.

Related Questions

3+ 5/7x_>_1+x?
Hdjdhdudjdjdheirhdhfhhfh

Answers

Answer:

Step-by-step explanation:

girl what is wrong with that screen lol

Find the missing side and angle to the nearest tenth.
AC=
m∠B =

Answers

Answer:

AC²=AB²-BC²=13²-10²=169-100=69

AC=√69=~8.3

Step-by-step explanation:

reciproque de pytaghore to solve AC

Calculate
√6x√20 divided by
√3
Give your answer in the form a√b where a and b are integers, and b is as small as
possible.

Answers

Answer:

(√6x√20) / √3 = 2√10

Step-by-step explanation:

hello :

(√6x√20) / √3 =√2x√3 x√4x√5 / √3

because : √6 = √2x√3 and √20= √4x√5 = 2x√5

now simplify by √3 :(√6x√20) / √3 =√2x2x√5

(√6x√20) / √3 = 2√10 so : a =2 and b =10

A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter
in cm, of the rectangle?
A. 824
B. 1,600
C. 2.000
D. 3.200

Answers

This answer is A.) 824

When 1,250 Superscript three-fourths is written in its simplest radical form, which value remains under the radical?

10
6
5
2

Answers

Answer:

D is the answer

Step-by-step explanation:

Answer:

D

Explanation:

100%

Can someone help me plzzz and thank you

Answers

Answer: 20 I think

Step-by-step explanation:

Could someone help, please?

Answers

Answer:

DCB=33

Step-by-step explanation:

We are given the angle for a and we know the angle for ADC is 90 because AB & DC are perpendicular.  Given two angles of a triangle we can find the third by subtracting the two known values from 180 because we know a triangle totals 180.

180-33-90=57

So we can also find CDB because we know AB & DC are perpendicular.  It is also 90 because two perpendicular lines make a 90 angle.  

DCB can be found because we know that ACB makes a 90 angle and the ACD portion is 57.  So we subtract 57 from 90.

90-57=33

We can also find CBD by subtracting CDB and DCB from 180.

180-90-33=57

More than question asked but wanted to help you see connections between them.

Complete the table and then graph the function.
y = 3x

Answers

Answer:

x y

1 3

2 6

3 9

Step-by-step explanation:

just plot the corresponding points onto your graph

A cylindrical can of cocoa has the dimensions shown at the right. What is the approximate area
available for the label?
Diameter - 7 height - 4

Answers

Answer:

164.93 I believe is the answer

Find the common ratio of the following geometric sequence:
4, 8, 16,....

Answers

Answer:

Common ratio : 2

nth term : 4 × 2^(n-1)

Step-by-step explanation:

Good luck *_*

Hope this helps ^^

If c= 205 A=81 and b=50. B=

Answers

Answer:

50

Step-by-step explanation:

Did you write it correct? It says b = 50 and ur question is b= ?

Divide using synthetic division -3 1 8 9 -18

Answers

Answer:

Step-by-step explanation:

-3   /   1    8    9    -18

              -3    -15   18

     _______________

        1      5     -6     0

The remainder here is 0 and the quoitient is 1x^2 + 5x - 6.

Select the functions that have a value of 0.

sin270°
cot270°
cos270°
tan270°
sec270°
csc270°

Answers

Answer:

cos270° has a value of 0

Step-by-step explanation:

cos 270°

Cu cat este mai mare suma numerelor 25 si 17 față de diferența lor? ( se vor folosi doua paranteze mici.)

Answers

Given :

Two numbers 25 and 17.

How much larger is the sum of the numbers 25 and 17 compared to their difference? (Two small brackets will be used.)

To Find :

How much larger is the sum of the given numbers as compared to their difference.

Solution :

Sum of given numbers, S = 25 + 17 = 42 .

Difference of given numbers, D = 25 - 17 = 8 .

The difference between S and D is, S - D = 42 - 8 = 34 .

Therefore, sum of the numbers is larger by 34 than in difference.

x²+9x+a has a factor of (x+8) what is the value of 'a' equal to

Answers

Answer:

a = 8

Step-by-step explanation:

(x+8)(x+1) = x^2 + 9x + 8

can someone help me with this please ?!

Answers

Answer:

7.10

Step-by-step explanation:

2x + 3y = 2
Consider the system
3x + 3y = -6
Describe how to solve the system by multiplying the first equation by a constant and subtracting. Why
would this method be less than ideal?
(select) v the first equation by 1.5 and subtract. This would be less than ideal because you would
introduce (select) into the solution process.

HELP ASAP DUE TONIGHT

Answers

2x+3y=2 x=1-3y/2 and 3x+3y=-6 x=-2-y

Help pls and no links

Answers

Answer:

The answer is A.      4+y^2/2y^2

PLEASE HELP MAX POINTS AND BRAINLIEST!!
What is a function with a rate of change of 1/3 and an inital value of -3?

((put ur equation in slope intercept form y=mx + b))​

Answers

y=1/3x-3

hope this helps :)

Answer:

y=1/3x-3

I hope i helped you guy.

HELP QUICK !! I JUST NEED THE ANSWER

Answers

Answer:

the function is shifted up n units

Step-by-step explanation:

because in my opinion it will affect the function y only

can someone please help me​

Answers

Answer:

A)

Step-by-step explanation:

n = -3

Output: (n - 2)

-3 - 2 = -5

It's A because it's the ONLY choice where the output is -5 when the input is -3

Mary wanted to solve the system of equations shown. She first used row reduction to get the system into 2 equations with 2 variables, x and y. She then used her calculator and got the graph shown. What is the solution to her system?

Answers

Answer: (2, -1, 3)

Step-by-step explanation:

The graph shows you that x=2 and y=-1 so, plug those values back into one of the equations to solve for z. You should get z=3 giving you a solution of (2, -1, 3).

$51,033
An electronics wholesaler must sell at least $4000 worth of computers and printers per day to stay profitable. Each printer costs
$300 and each computer costs 5900. The store can ship a maximum of 25 items per day. If c represents the number of computers
and p represents the number printers, which THREE statements are correct?


Pls help

Answers

Answer:

A,B,D

Step-by-step explanation:

(A) is correct because 5*900+15*300>4000

(B) is correct because 15*900+5*300>4000

(D) is correct because C+P must be less than or equal to 25

PLEASE PLEASE PLEASE HELP, AND SHOW WORK!!!! LOOK AT ATTACHMENT.

Answers

Answer:

24) $230.45

Step-by-step explanation:

25%=25/100=0.25

0.25*357.35=89.38 (rounded to the nearest hundredth)

357.35-89.38=267.97

Now, we have the 25% discount, it is the same thing for the 14% discount.

14%=14/100=0.14

267.97*0.14=37.52(rounded to the nearest hundredth again)

267.97-37.52=230.45

Therefore, total cost is $230.45

what two numbers is the square root of 23 between?

Answers

Answer:

23 lies between. 16 and 25

If l║m and m∠8 = 109°, what is m∠5?

Answers

you need to see all the measurements to know what m∠5 to get the answer.

How might doing math slowly help with problems that are difficult to understand or hard to solve?

Answers

Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?

A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.

I hope this helped!

~flipohrama

M&M plain candies have a normally distributed weight with a mean of 0.8565 g and a standard

deviation of 0.0518 g. If 465 M&M plain candies are randomly selected, find the probability that

their mean weight is at least 0.8535 g each.

Answers

Answer:

0.89417

Step-by-step explanation:

Using the relation to obtain the Zscore :

Z = (x - mean) ÷ standard deviation / sqrt(n)

x = 0.8535

Mean = 0.8565

Standard deviation = 0.0518

Sample size, n = 465

P(x ≤ 0.8535) = (0.8535 - 0.8565) ÷ 0.0518/sqrt(465)

P(x ≥ 0.8535) = - 0.003 / 0.0024021

P(x ≥ 0.8535) = - 1.249

P(Z ≥ - 1.249) = 0.89417

find the area of the shaded region inside the rectangle hexagon given one of the side lengths is 8.

A 163
B 230
C 300
D 233.3

Answers

The answer is A if I’m not mistaken

Please help me with this homework

Answers

Answer:

16

Step-by-step explanation:

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