SOLUTION: find the vertex, the line of symmetry, the maxiumum or minimum value of the quadratic function and graph the function f(x)=7-x2 and find zeros

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: find the vertex, the line of symmetry, the maxiumum or minimum value of the quadratic function and graph the function f(x)=7-x2 and find zeros      Log On

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Question 241366: find the vertex, the line of symmetry,
the maxiumum or minimum value of the quadratic
function and graph the function
f(x)=7-x2 and find zeros

Answer by stanbon(48513) About Me  (Show Source):
You can put this solution on YOUR website!
find the vertex, the line of symmetry,
the maximum or minimum value of the quadratic
function and graph the function
f(x)=7-x2 and find zeros
You have a quadratic with a = -1, b = 0, c = 7
-----------------
Max or min occurs when x = -b/2a = -0/-2 = 0
f(0) = 7
So the vertex is (0,7)
------------------------------
Axis of symmetry is x=0
-------------------------------
Zeroes: 7-x^2 = 0
x^2 = 7
x = +sqrt(7) ; x = -sqrt(7)
====================================
Graph:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C7-x%5E2%29
=====================================
Cheers,
Stan H.