The graph of Fx can be compressed vertically and shifted to

The graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x). If F(x) = x^3, which of the following could be the equation of G(x)? G(x) = 4(x - 3)^3 G(x) = 1/4 (x + 3)^3 G(x) = 1/4 (x - 3)^3 G(x) = 4(x + 3)^3

Solution

It is option C. A vertical compression means that the function is only a \"fraction\" of its original height, hence the fractional coefficient.

REMEMBER, movement along the x-axis is always the OPPOSITE of what you think. So left = + and right = -

So (x-3) actually means a shift 6 units to the right. (NOT left like you would naturally think)

so G(x) = 1/4 (x-3)^3