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

option A

Step-by-step 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

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

So equation becomes

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

divide both sides by 4

so a= 1/2

Plug in the value of 'a' in equation