SOLUTION: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=-4(x+1)^2+4

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=-4(x+1)^2+4      Log On


   

Question 440657: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x)=-4(x+1)^2+4
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

y = -4(x+1)^2 +4

 1) parabola opens downward a = -4 < 0  Vertex Pt(-1,4) is a maximum pt

 2) Line of symetry is the x = -1

 3) relative to the the translation from the origin: to the left 1 and up 4