Determine the Quadratic Function

[nycmath]

Precalculus
Michael Sullivan
Edition 10
Chapter 3, Section 3.3

Instructions

Determine the quadratic function whose graph is given.

[nycmath]

See attachment.

[nycmath]

See attachment.

[Eigenvalue]

Your solution path is correct, however, you wrote (x-2)² as x²-4x+2, rather than x²-4x+4--which rendered -x²+4x+1, rather than -x²+4x-1. One way to check you answer is to substitute the vertex into the equation:

Let (0,-1) be (x,y)
-1=-(0)²+4(0)-1
-1=-1✓