Suppose that f(x) = x2 and g(x) = -1/3(x+4)2. which statement best compares the graph of g(x) with the graph of f(x)

Compress the graph

Flip the graph

Shift the graph 4 units to the left

Step-by-step explanation:

When functions are transformed there are a few simple rules:

This graph has been multiplied by -1/3 which is less than 1. It will be compressed.

It will also flip the graph since it is changing to a negative and be an upside down U.

This graph has x added to by 4. It will shift left 4 units.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)