SOLUTION: find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function f(x)=2x^2-16x+37 choose correct line of symmetry? a. y=-5

Algebra ->  Graphs -> SOLUTION: find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function f(x)=2x^2-16x+37 choose correct line of symmetry? a. y=-5       Log On


   

Question 443774: find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function f(x)=2x^2-16x+37
choose correct line of symmetry?
a. y=-5
b. x=-4
c. y=5
d. x=4
the maximum/minimum of f(x) is?
Is the value, f(4)=5 minimum or a maximum?
Answer by solver91311(24713) About Me  (Show Source):
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Given a quadratic function



an equation of the axis of symmetry is

The maximum or minimum of a quadratic function is the value of the funcition at the -coordinate of the vertex. The -coordinate of the vertex is found by:



And then the value of the funcition at the vertex is the function evaluated at



If the lead coefficient, , is positive, then the graph opens upward and the value of the function at the vertex is a minimum. If the lead coefficient is negative, then the graph opens downward and the value of the function at the vertex is a maximum.

John

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