Question

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = -3x2 - 36x - 60?

A) The graph of f(x) = x2 is made narrower.
B) The graph of f(x) = x2 is shifted right 6 units
C) The graph of f(x) = x2 is shifted down 48 units.
D) The graph of f(x) = x2 is reflected over the y-axis.

Answer 1

A. The graph of f(x) = x2 is made narrower.

Explanation:

Answer 2

A) The graph of f(x) = x2 is made narrower.

Explanation:

The transformed graph has equation:

`g(x) = - 3 {x}^(2) - 36x - 60`

To see the transformations clearly, we need to rewrite the function in the vertex form:

`g(x) = - 3( {x}^(2) + 12x) - 60`

`g(x) = - 3( {x}^(2) + 12x + 36) - 60 + 3 * 36`

`g(x) = - 3( {x} + 6)^(2) + 48`

Therefore, the graph of the original function is made narrow of the multplier, 3.

The correct answer is A