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

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

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`