Question

Suppose that G(x) = F(x) - 4. Which statement best compares the graph of G(x) with the graph of F(x)?

A. The graph of G(x) is the graph of F(x) shifted 4 units down.
B. The graph of G(x) is the graph of F(x) shifted 4 units to the left.
C. The graph of G(x) is the graph of F(x) shifted 4 units up.
D. The graph of G(x) is the graph of F(x) shifted 4 units to the right.

Answer 1

hint:
the formula \(G(x)=F(x)-4\) means that at each point \(x\), the value of \(F\) is \(4\) units more than the value of \(G\)

Answer 2

when you plot a "graph of G(x)" (or F(x) )
you plot points: (x, G(x) ) where G(x) is the "y value" (the up/down value)
if you have a y value for F(x) and then subtract 4, does the y value go up or down ?