Answer: shifted 2 units down & 4 units left, reflection across x-axis
Step-by-step explanation:
The standard equation for an exponential function is: [tex]f(x)=a(b)^{x-h}+k[/tex] where
- -a represents a reflection across the x-axis
- h represents a horizontal shift (positive = right, negative = left)
- k represents a vertical shift (positive = up, negative = down)
[tex]f(x) = 2^x\\\\g(x)=-2^{x+4}-2\\.\qquad =-2^{x -(-4)}+(-2)[/tex]
↓ ↓ ↓
↓ ↓ shift down 2
↓ shift left 4
reflection over x-axis
