Question

Which of the following equations will produce the graph shown below?

a. y=1/2x^
b. x^=-8y
c. x^=8y
d. x-1/8y^=0

Answer 1

option a is correct

Explanation:

Answer 2

option A

Explanation:

From the given graph we can see vertex is (0,0)

we pick a point from the graph, that is (2,2)

The parabola opens up so we use equation

`y=a(x-h)^2+k`

(h,k) is the vertex (0,0)

So equation becomes

`y=a(x-0)^2+0`

`y=a(x)^2`

Now we use the point (2,2) and find out 'a', plug in 2 for x and 2 for y

`2=a(2)^2`

`2=4a`

divide both sides by 4

so a= 1/2

Plug in the value of 'a' in equation
`y=a(x)^2`

`y=(1)/(2)x^2`