Y=1/3 times 4 to the x power

Question

I need to graph this but I don't understand how with fractions

Answer 1

Emily,

 

Imagine plotting y=4^x.

 x  |  y

=====

 -2| 1/16

 -1| 1/4

 0 | 1

 1 | 4

 2 | 16

 

If you plotted y=(1/3)(4^x)

The plot information looks similar except the points are compressed vertically.

x | y
=====
-2| 1/48
-1| 1/12
0 | 1/3
1 | 1 1/3
2 | 5 1/3

 

Of course you could calculate more points but I think these are enough to get the general idea.

You have a line that to the left of the Y axis approaches the Y axis the farther left you go, never touching it. It crosses the Y axis at 1/3. It climbs to right getting steeper as it goes.