Question

The vertex form of the equation of a parabola is y=(x-4)^2 + 22,
What is the standard form of the equation?

PLEASE HELP ASAP

Answer 1

Answer:

$y = x^2 - 8x + 38$

Step-by-step explanation:

Hello!

The standard form of a quadratic is $ax^2 + bx + c$.

To convert the vertex form to standard form, we have to expand the parenthesis and add the constant.

Convert:

• $y = (x - 4)^2 + 22$
• $y =(x -4)(x-4) + 22$
• $y = x^2 - 4x - 4x + 16 + 22$
• $y = x^2 - 8x + 38$

The standard form is $y = x^2 - 8x + 38$