SOLUTION: Find the vertex, line of symmetry, and the maximum or minimum value of the quadratic function. Problem: f(x) = -2x^2 + 2x + 9 Type in a simplified fraction Thank you!!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the vertex, line of symmetry, and the maximum or minimum value of the quadratic function. Problem: f(x) = -2x^2 + 2x + 9 Type in a simplified fraction Thank you!!      Log On


   

Question 320763: Find the vertex, line of symmetry, and the maximum or minimum value of the quadratic function.
Problem:
f(x) = -2x^2 + 2x + 9
Type in a simplified fraction
Thank you!!!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Put your function into standard, namely , form.

The -coordinate of the vertex is given by

The -coordinate of the vertex is the value of the function at the -coordinate of the vertex, to wit:



The line of symmetry is the equation

The maximum or minimum value of the function is . It is a minimum if the lead coefficient (the in ) is positive and a maximum if it is negative.

John