Question

Starting with the graph f(x)=8^x, write the equation of the graph that results when...

Answer 1

`\begin{gathered} f(x)=n^x \\ \\ f\mleft(x\mright)=an^{\mleft\{\mleft(x-h\mright)\mright\}}+k \end{gathered}`

k < 0: shifted the grpah k units down

h >0 : shifted the graph h units tot he right

a= -1: reflected the graph about the x-axis

`f(x)=8^x`

a) f(x) is shifted 9 units downward

`y=8^x-9`

b) f(x) is shifted 4 units to the right.

`y=8^((x-4))`

c) f(x) is reflected about the x-axis:

`y=-8^x`