SOLUTION: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=2x^2-8x+19

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^2-8x+19      Log On


   

Question 328393: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=2x^2-8x+19
Answer by solver91311(24713) About Me  (Show Source):
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Is a parabola. The -coordinate of the vertex is , The -coordinate is

The axis of symmetry is the line

The parabola opens upward if , and then the vertex is a minimum. The parabola opens downward if , and then the vertex is a maximum.

The -intercept is the point , which is to say . By symmetry, there is also a point on the parabola at

If , then there are two -intercepts at , and


John