Question

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

Answer 1

To write an equation in standard form, move each term to the right side of the equation and simplify.
y=ax^2 + bx + c
y=ax^2+bx+c
Solve for
y
Simplify each term.
y=x^2−8x+16+22
Add 16 and 22 to get 38.
y=x^2−8x+38