Question

Which function could be represented by the graph on the coordinate plane? f(x) = (x – 8)2 6 f(x) = (x 8)2 6 f(x) = (x 8)2 – 6 f(x) = (x – 8)2 – 6

Answer 1

Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:

f(x) = (x - 8)² - 6.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence h = 8, k = -6 and considering a = 1 the equation is given as follows:

f(x) = (x - 8)² - 6.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

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