Question

The vertex form of the equation of a parabola is y= (x-3)2 + 36. What is the standard form of the equation?

A. y=x2+x+18
B. y=x+6x+36
C. y = 3x² - 6x +45
D. y=x²2-6x +45​

Answer 1

`y=x^2-6x+45` (choice D)

Explanation:

All you need to do is expand the vertex form.

`y=(x-3)^2+36\\y=x^2-6x+9+36\\y=x^2-6x+45`

If you need further explanation, let me know.

Hope this helps!