Question

The graph of
is transformed as shown in the graph. Which equation represents the transformed function?
Responses

y is equal to e raised to the x plus 3 power

y is equal to e raised to the x minus 3 power

y is equal to e raised to the x minus 3 power plus 3 raised to the plus 3 power

Answer 1

I can't see the graph — can you upload it or describe the transformation (shift left/right by how many, up/down by how many)?

Meanwhile, here’s how to tell which equation matches a transformation of y = e^x:

- y = e^(x + 3) is y = e^x shifted left 3 units.
- y = e^(x − 3) is y = e^x shifted right 3 units.
- y = e^(x − 3) + 3 is y = e^x shifted right 3 units and up 3 units.

If you tell me which shift the graph shows (left/right/up/down and by how much), I’ll pick the correct equation.