Question

Which equation best represents the graph shown below? Explain in detail how you arrived at your answer by stating each of the mathematical transformations necessary and to produce the graph
Answer step by step

A. Y = (x - 2)^2 - 3

B. Y = (x + 2)^2 - 3

C. Y = - ( x - 2 )^2 - 3

D. Y = 1/2 ( x + 2)^2 - 3

Answer 1

The equation that best represents the parabola given in this problem is:

A. y = (x - 2)² - 3.

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.

For this problem, the vertex is at (2, -3), hence:

h = 2, k = -3.

And:

y = a(x - 2)² - 3.

When x = 0, y = 1, hence:

1 = 4a - 3

4a = 4

a = 1.

Hence the equation is given by:

A. y = (x - 2)² - 3.

More can be learned about the equation of a parabola at brainly.com/question/24737967

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