SOLUTION: How does the graph of y=-2(1/3)^x-2 compare to the graph of the parent function y=b^x? Consider describing transformation in your comparison.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: How does the graph of y=-2(1/3)^x-2 compare to the graph of the parent function y=b^x? Consider describing transformation in your comparison.      Log On


   

Question 1185267: How does the graph of y=-2(1/3)^x-2 compare to the graph of the parent function y=b^x? Consider describing transformation in your comparison.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if you have
y=-2%281%2F3%29%5Ex-2 compare to the graph of the parent function+y=b%5Ex
y=a%28b%29%5E%28x-h%29%2Bk+
where a is the vertical stretch by factor aif a%3E0, and vertical shrink if 0%3Ca%3C1
h+is the horizontal shift
and k is the vertical shift
y=-2%281%2F3%29%5Ex-2+
so, parent function is y=%281%2F3%29%5Ex+

a=-2 =>the graph of the parent function reflected over x-axis and vertically stretched by factor 2
h=0=>no horizontal shift
k=-2=> the graph of the parent function moves 2 units down

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F3%29%5Ex%2C+-2%281%2F3%29%5Ex-2%29+