SOLUTION: Find vertex, line of symmetry, max/min value of the quadratic function, and graph the function. f(x) = -2x^2+2x+9 x-coordinate of the vertex is? y-coordinate of the vertex i

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find vertex, line of symmetry, max/min value of the quadratic function, and graph the function. f(x) = -2x^2+2x+9 x-coordinate of the vertex is? y-coordinate of the vertex i      Log On


   

Question 353039: Find vertex, line of symmetry, max/min value of the quadratic function, and graph the function.
f(x) = -2x^2+2x+9
x-coordinate of the vertex is?
y-coordinate of the vertex is?
the equation of the line of symmetry is x=?
Max/min of f(x) is ?
The value, f(1/2)=19/2 is the minimum or maximum?
Answer by solver91311(24713) About Me  (Show Source):
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For the general quadratic function:



the coordinates of the vertex are:





The equation of the line of symmetry is:



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

is the maximum value of the function.

John

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