SOLUTION: Can someone please help me solve this? Thank You!! Find the maximum y-value of the graph of y=f(x) f(x)=-x^2+2x+2 The maximum y-value is y= ____

Algebra ->  Rational-functions -> SOLUTION: Can someone please help me solve this? Thank You!! Find the maximum y-value of the graph of y=f(x) f(x)=-x^2+2x+2 The maximum y-value is y= ____      Log On


   

Question 766417: Can someone please help me solve this? Thank You!!

Find the maximum y-value of the graph of y=f(x)
f(x)=-x^2+2x+2
The maximum y-value is y= ____
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the Square to put the function into standard form, and you can read the vertex directly.

Use the term, "1", AFTER first factoring out -1.
-1(x^2-2x+1-1-2)
-1((x-1)^2-3)
-(x-1)^2+3

Point is (1,3) maximum