What is this function written in vertex form? The image shows a geometric representation of the function
f(x) = x2 - 2x - 6 written in standard form.
Of(x) = (x –1)2 – 7
O f(x) = (x +1)2-7
O f(x) = (x –1)2-5
O f(x) = (x +1)2 – 5

is the correct answer.

Step-by-step explanation:

Given that function f(x) is:

f(x) is a quadratic function in x, meaning that it has a maximum power of 2 of x.

Vertex form of quadratic function is given as:

i.e. we make whole square of terms of .

Now, let us try to make whole square term of .

Adding and subtracting 1 from RHS:

Now, using the formula:

The given function becomes:

It is comparable to vertex form i.e.

where a = 1, h = 1 and k = -7

Hence, the vertex form of given function is:

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step-by-step explanation:

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