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