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.

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

Step-by-step explanation:

The transformed graph has equation:

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

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

The correct answer is A

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus