Question

The graph of f(x)=2^x is shown in black (k). Match each transformation of this function with a graph below.

Answer 1

Explanation:

From the graph attached,

Black curve represents a function f(x) = 2ˣ

When this curve is reflected over the x-axis image of the function will be,

g(x) = -
`2^(x)` [Red curve]

Similarly, curve represented by h(x) =
`2^(-x)` is the blue curve [image of f(x) reflected over y-axis]

When this curve is reflected over the x-axis, image of the function will be,

h'(x) =
`-2^(-x)` [green curve]

`-2^(x)` → Red

`-2^(-x)` → Green

`2^(-x)` → Blue