Question

The vertex form of the equation of a parabola is x = (y - 4)2 + 27.

What is the standard form of the equation?

A. x = y2 + 8y + 27
B. x = 4y2 - 8y + 43
C. x = y2 - 8y + 43
D. x = y2 + y + 15

Answer 1

Since the vertex formula of an equation is x =a(x-h)^2 + k and the standard form of an equation is y = ax^2 + bx + c, the answer to the math question presented above would be letter c. x = y^2 -8y + 43. I arrived to this answer by solving (y-4)^2 and adding the equation to 27.

Answer 2

Option C. x = y² - 8y + 43

Explanation:

The vertex form of the equation of a parabola is x = (y - 4)² + 27

We have to find the standard form of the equation which is in the form of x = ay² + by + c

To get the standard form of the equation we will simplify the vertex form of the equation.

x = (y - 4)² + 27

x = y² + 16 - 8y + 27

x = y² - 8y + 43

This matches with option C. x = y² - 8y + 43