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+
.
To convert the quadratic from vertex form to standard form, we expand and simplify the expression:
y = 2(x−5)2 − 10
y = 2(x−5)(x−5) − 10
y = 2(x2 - 10x + 25) - 10
y = 2x2 - 20x + 50 - 10
y = 2x2 - 20x + 40
Therefore, the standard form of the quadratic is y = 2x2 - 20x + 40.
20 is wrong what else do we put in?
I apologize for the mistake in the previous response. Let's correct it:
y = 2(x-5)2 - 10
y = 2(x2 - 10x + 25) - 10
y = 2x2 - 20x + 50 - 10
y = 2x2 - 20x + 40
Therefore, the standard form of the quadratic is y = 2x2 - 20x + 40.