Respuesta :

Answer:

Step-by-step 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) = -[tex]2^{x}[/tex] [Red curve]

Similarly, curve represented by h(x) = [tex]2^{-x}[/tex] 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) = [tex]-2^{-x}[/tex] [green curve]

[tex]-2^{x}[/tex] → Red

[tex]-2^{-x}[/tex] → Green

[tex]2^{-x}[/tex] → Blue