Assuming you mean f(x) = -3^(2x+6) - 5 or -3^(2(x+3)) - 5
sketch y = 3^x
to get y = -3^x, reflect in the x-axis
to get y = -3^(2x), sketch vertically by a factor of 3^2 or 9
to get y = -3^(2(x+3)), translate the previous graph 3 units to the left
to get y = -3^(2(x+3)) - 5, translate the previous graph 5 units down.
f(x)=3^x, g(x)=-3^2x+6 -5
what are the transformations applied to f(x)
2 answers
3^(2x) = (3^x)^2
3^2 * 3^x = 3^(x+2)
In fact 3^(2x) is a horizontal dilation of 1/2
3^2 * 3^x = 3^(x+2)
In fact 3^(2x) is a horizontal dilation of 1/2