The transformations that have happened to f(x) = 2^x to create g(x) = -2^(x + 3) - 6 are:
1. Reflection over the x-axis: This is indicated by the negative sign in front of the 2 in g(x).
2. Left shift by 3 units: This is indicated by the +3 inside the exponent of the 2 in g(x).
3. Down shift by 6 units: This is indicated by the -6 at the end of the equation g(x).
Therefore, the correct answer is:
b) Reflects, right 3, down 6
What transformations have happened to f(x) = 2^x if the new equation is g(x) = -2^(x + 3) - 6
a) Reflects, up 3, left 6
b) reflects, right 3, down 6
c) reflects, left 3, down 6
d) it stayed the same
1 answer
1 answer