Final answer:
To rewrite x = 1/8y^2 in standard form, multiply both sides by 8 to get 8x = y^2, then rearrange to y^2 - 8x = 0.
Step-by-step explanation:
To rewrite the equation x = 1/8y^2 in standard form, you first want to get rid of the fraction. By multiplying both sides of the equation by 8, you'll have 8x = y^2. Now, to put it in the standard form of a quadratic equation, which is ax^2 + bx + c = 0, you'll want to set the equation to equal zero. Therefore, our final equation in standard form is y^2 - 8x = 0.