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mixer [17]
4 years ago
12

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.

Mathematics
1 answer:
Olegator [25]4 years ago
7 0

we know that

To find the equation in vertex form, we need to factor the function

so

f(x) = x^{2} - 2x - 6

Complete the square. Remember to balance the equation

f(x) = x^{2} - 2x +1-1- 6

f(x) = x^{2} - 2x +1-7

Rewrite as perfect squares

f(x) = (x-1)^{2} -7

in this problem

the vertex is the point (1,-7)

therefore

the answer is

The function written in vertex form is equal to f(x) = (x-1)^{2} -7

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