college algebra word problem

Question

Rewrite the given equation in standard form.

x=1/8y^2

Answer 1

Hello, thank you for taking the time to post your question!

To rewrite this expression in standard form, you want to isolate the squared term of y^2.

In this case that means multiplying both sides of the equation by 8 in order to simplify

x = 1/8y^2

8x = y^2

Meaning that the standard form for the given equation is y^2 = 8x

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

You probably mean x = (1/8)y^2. As written it's 1/(8y^2)

The first is in standard form for a parabola with vertex at the origin

full standard form is

x-0 = (1/8)(y-0)^2.

It's a parabola that opens to the right. x is always non negative