Question

Need help asap have to turn in today!!!!!

Answer 1

The given function is


`f(x)=4^x`

Part A


`k\bullet f(x)` will stretch the
`f(x)=4^x` vertically by a factor of k, if
`k\:>\:0`, but if
`0\:<\:k\:<\:1` the graph will shrink vertically by a factor of k.

Part B.


`f(x+k)` is a horizontal transformation, that moves the graph of the function h units to the left.

Part C


`f(x)+k` shifts the function up vertically by k units.

Part D

Given


`f(x)=4^x` as the parent function,

i)
`f(x-2)` shifts
`f(x)=4^x`, 2 units to the right.

ii)
`f(x)+2` shifts the graph 2 units up.

iii)
`3f(x)` stretches
`f(x)=4^x` vertically by a factor of 2 units.

iv)
`4^(x+4)=f(x+4)` which shifts the function horizontally 4 units to the left