Question

Suppose that G(x) = F(x - 6) - 3. 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 6 units to the right and 3 units down.
B. The graph of G(x) is the graph of F(x) shifted 6 units to the left and 3 units down.
C. The graph of G(x) is the graph of F(x) shifted 6 units to the left and 3 units up.
D. The graph of G(x) is the graph of F(x) shifted 6 units to the right and 3 units up.

Answer 1

@study100

Answer 2

graph of g(x)=f(x-6)-3
means it is shifted 6 units to the right and 3 units down

Answer 3

that would be A
explanation
let f and g be two function
g(x)=f(x-u) shifted u units to the right
g(x)=f(x+u) shifted u units to the left
g(x)=f(x)+u shifted u units up
g(x)=f(x)-u shifted u units down

Answer 4

If H(x) = 4x2 - 16 were shifted 5 units to the right and 2 down, what would the new equation be?