Question

PLEASE HELP ASAP I REALLY DONT UNDERSTAND

Which transformation of y=2^x will produce the graph shown?
reflect over the x-axis and shift 3 units right
reflect over the x-axis and shift 3 units left
reflect over the y-axis and shift 3 units right
reflect over the y-axis and shift 3 units left

Answer 1

reflect over the x-axis and shift 3 units left

Explanation:

To produce the graph shown, you would need to reflect it over the x-axis and shift it 3 units left. We know this because compared to the graph of y=2^x, it is flipped over the x-axis and is 3 units left of where the line of y=2^x is.

:)

Answer 2

reflect over the x-axis and shift 3 units left

Explanation:

Check the picture.

y = 2ˣ is the original function. (Black)

y = - 2ˣ⁺³ is the transformed version. (Red)

y = -2ˣ

^ This means that the function has been reflected over the x-axis.

y = -2ˣ⁺³

y = -2ˣ⁻⁽⁻³⁾

^ This means that it was shifted 3 units to the left.