Question

The graph of F(x) = x^2 is shown.

Compare the graph of f(x) with the graph of
`p(x) = 3(x-8)^2`

Answer 1

B

Explanation:

Given a function of a parabola (quadratic) in the form f(x) = x^2, we have a translated function as:

g(x) = a(x-b)^2

Where

• a is the vertical compression or stretch. If a > 1, it is a vertical stretch and if 0 < a < 1, it is a vertical compression.

• b is the horizontal translation b units to the right

The function given is p(x) = 3(x-8)^2

So it means that it is a vertical stretch with a factor 3 and the graph is shifted horizontally 8 units right

the correct answer is B