graph y=log base 4 (x+3)

Question

I need to  graph y=log base 4 (x+3)

and I am lost on how to convert it

I come up with 4 raised to the y power equals (x+3)

what do I do?

M

Answer 1

y=log₄(x+3).

Make a table of x and y values, and choose x so that the log₄ is easy to work out. For example:

 x    y

-3  -∞ x=-3 is an asymptote

-2   0

-1  0.5

 1   1

13  2

61  3

Plot these points and join them up first by using straight lines, then by imagining and sketching the curve that would pass through them all.

The red curve is y=log₄(x+3) and the blue line is the asymptote.