Question

Which of the following describes the transformations of g (x) = negative (2) Superscript x + 4 Baseline minus 2 from the parent function f (x) = 2 Superscript x?

Answer 1

A. shift 4 units left, reflect over the x-axis, shift 2 units down

Explanation:

Answer 2

Answer: shifted 2 units down & 4 units left, reflection across x-axis

Explanation:

The standard equation for an exponential function is:
`f(x)=a(b)^(x-h)+k` 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)

`f(x) = 2^x\\\\g(x)=-2^(x+4)-2\\.\qquad =-2^(x -(-4))+(-2)`

↓ ↓ ↓

↓ ↓ shift down 2

↓ shift left 4

reflection over x-axis