What is true about the function h(x) = x2 20x – 17? check all that apply. the vertex of h is (–10, –117). the vertex form of the function is h(x) = (x 20)2 – 17. the maximum value of the function is –17. to graph the function h, shift the graph of f(x) = x2 left 10 units and down 117 units. the axis of symmetry of function h is x = 20.

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The vertex of h is (–10, –117 and the vertex form is h(x) = (x + 10)² – 117.

What is a function?

A function is an expression that is used to show the relationship between two or more variables.

Given the function:

h(x) = x² + 20x – 17

The vertex is at h'(x) = 0, hence:

h'(x) = 2x + 20 = 0

2x + 20 = 0

x = -10

h(-10) = (-10)² + 20(-10) - 17 = -117

h(x) = x² + 20x – 17

h(x) = x² + 20x + 100 – 17 - 100

h(x) = (x + 10)² – 117

The vertex of h is (–10, –117 and the vertex form is h(x) = (x + 10)² – 117.

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