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

Option C. x = y² - 8y + 43

Step-by-step 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