SOLUTION: y=4*4^x match function rule with the graph function

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Question 399079: y=4*4^x
match function rule with the graph function
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
y=4%2A4%5Ex
First let's cahnge this into a more helpful form. Since 4+=+4%5E1 we can write this as:
y=4%5E1%2A4%5Ex
And the rule for exponents when multiplying is to add the exponents. So we can write this as:
y=4%5E%281%2Bx%29
or, since addition is Commutative:
y=4%5E%28x%2B1%29
In this form we can tell how the graph of this function will be different from the graph of the "base" function, y+=+4%5Ex. The graph of y+=+4%5Ex is:
graph%28400%2C+400%2C+-3%2C+5%2C+-1%2C+7%2C+4%5Ex%29
NOTE: The graph looks like it touches the x-axis. This is due to a weakness/flaw in Algebra.com's graphing software. The actual graph never touches the x-axis. It approaches the x-axis as an asymptote.

The graph of your equation, y+=+4%5E%28x%2B1%29 is the same as the graph above except everything is moved to the left by 1 unit (because of the "+1". (Your graph also approaches the x-axis as an asymptote.)