All categories

1 year ago

For which graph is the parent function y=x^2

Mathematics

1 answer:

mylen [45]1 year ago

3 0

y = x² is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)

<h3>What is the standard equation of a parabola ?</h3>

The standard equation of a parabola is given by

y =a(x-h)² +k

Vertex at h , k

It is given that It has to be chosen from the options that whose parent function is

y = x²

As the plot of the first option is done , which is shown in the figure ,

The parabola is given by

y = (x +1)² +2

and the parent function is y = x²

Therefore the Option 1 is the answer.

To know more about standard equation of a parabola

brainly.com/question/27915520

#SPJ1

You might be interested in

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

2 years ago

The low temperature for 5 days were negative 5ﾟ negative 7ﾟ negative 2ﾟ degrees and negative 3ﾟ what was the average low tempera

solong [7]

Would be 24% fefenhite

3 0

3 years ago

Which of the following sets of measurements could be the side lengths of a right triangle?

nordsb [41]

Would have to be C due to all the other numbers not adding up to be a right angle

3 0

2 years ago

Read 2 more answers

Find the value of x if it is a number between 8 and 12 exclusive.

sergij07 [2.7K]

Given:

x is a number between 8 and 12 exclusive.

To find:

The value of x.

Solution:

It is given that x is a number between 8 and 12 exclusive. It means the value of x lies between 8 and 12 but 8 and 12 are not included.

$8$

The whole numbers for $8$ range are 9, 10, 11.

Therefore, the values of x are 9, 10, 11 and the value of x in the form of inequality is $8$ .

6 0

2 years ago

What is the ratio 9 1/2 to 12 2/3

vivado [14]

_ 9.5:12.6 That is the answer, btw the 6 is repeating

3 0

3 years ago