SOLUTION: Really confused here with this logarithmic graph h(x) = 4 log(base 4) (x+8) What do I have to do in order to figure out the x and y intercepts and any other information in or

Algebra ->  Graphs -> SOLUTION: Really confused here with this logarithmic graph h(x) = 4 log(base 4) (x+8) What do I have to do in order to figure out the x and y intercepts and any other information in or      Log On


   

Question 917165: Really confused here with this logarithmic graph
h(x) = 4 log(base 4) (x+8)
What do I have to do in order to figure out the x and y intercepts and any other information in order to graph this? could someone show what needs to be done to graph this?
Is there a vertical/horizontal asymptote in this problem? what does the the 4 on the outside of the log do? I have no clue on how to figure this out
Please help
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
I.Know General Shape of parent graph: log%2810%2C+x%5E4%29%29 Green (vertical asymptote x = 0)
II. Find Intercepts of 4log%284%2C%28x%2B8%29%29 0r log%284%2C%28x%2B8%29%5E4%29 Note: log%284%2C1%29=+0, that is: Note: log%284%2C1%5E4%29=+0& Note: log%284%2C%28-1%29%5E4%29=+0
note: 4log%284%2C%288%29%29
log%284%2C%288%29%29 = 3/2 , (4^(3/2) = 8)
4(3/2) = 6
III. Plot (-9,0),(-7,0),(0,6), draw vertical asymptote x = -8 and sketch Blue