Question

The graph of y = e^xis transformed as shown in the graph below. Which equation represents the tra

function?

Answer 1

• y intercept is (0,4)

Check option B

`\\ \rm\longmapsto y=e^x+3`

Put values

`\\ \rm\longmapsto y=e^0+3=1+3=4`

Hence option B is correct

Answer 2

`y=e^x+3`

Explanation:

By inspection, we can see that the curve crosses the y-axis at (0, 4)

Therefore, when x = 0, y = 4

Inputting x = 0 into the equations:

`y=e^(x-3) \implies y=e^(-3)`

`y=e^x+3 \implies y=e^0+3=1+3=4`

`y=e^(x+3) \implies y=e^4`

`y=e^(x-3)+3^3=e^(-3)+27`

Therefore, the only equation that gives y = 4 when x = 0 is
`y=e^x+3`