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.Com
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)   (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


RELATED QUESTIONS

Find the vertex,the line of symmetry, the maximum or minimum value of the quadratic... (answered by Fombitz)
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by ewatrrr)
Find the vertex the line of symmetry, the maximum or minimum value of the quadratic... (answered by oberobic)
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by lwsshak3)
Find the vertex, line of symmetry, the maximum or minimum value of the quadratic... (answered by Alan3354)
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by Earlsdon)
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by solver91311)
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by Fombitz)
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by ewatrrr)