Find the Standard Form of the Parabola x=4y^2

$x = 4 y^{2}$

Step 1

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$4 y^{2} = x$

Step 2

Divide each term in $4 y^{2} = x$ by $4$ and simplify.

Divide each term in $4 y^{2} = x$ by $4$ .

$\frac{4 y^{2}}{4} = \frac{x}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y^{2}}{4} = \frac{x}{4}$

Divide $y^{2}$ by $1$ .

$y^{2} = \frac{x}{4}$

Step 3

Reorder terms.

$y^{2} = \frac{1}{4} x$