Respuesta :
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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