Question

Convert the quadratic y = 2(x−5)2 − 10
from vertex form to standard form.(2 points)
The standard form of the quadratic is y=

x2+

x+

.

Answer 1

Start with y = 2(x − 5)^2 − 10.
Expand: (x − 5)^2 = x^2 − 10x + 25, so
y = 2(x^2 − 10x + 25) − 10 = 2x^2 − 20x + 50 − 10 = 2x^2 − 20x + 40.

So the standard form is y = 2x^2 − 20x + 40.