Describe how the graph of Fx 4x3 2 can be obtained from the

Describe how the graph of F(x)= -4^(x-3) -2 can be obtained from the graph of F(x)= 4^x

Solution

F(x)= -4^(x-3) -2

parent graph: F(x)= 4^x

Following steps of transformation are involved:

aI shift horizontally by 3 units to right 4(x-3)^2

b) then shift vertically up by 2 units : 4(x-3)^2 +2

c) Rflect the resulting graphacross x axis : -(4(x-3)^2 +2)

F(x) = -4^(x-3) -2