Question

Which graph is the result of reflecting f(x) = 1/4 (8)^x across the y-axis and then across the x-axis?

Answer 1

Reflecting across the y-axis: $f(x)\mapsto f(-x)$

Reflecting across the x-axis: $f(x)\mapsto -f(x)$

So, combined, they result in the transformation

$g(x)=-f(-x)$

Which means that the new function is

$g(x)=-\dfrac{1}{4}8^{-x}$

Answer 2

Answer:

asymptote

Step-by-step explanation:

x = -2, y=0.004

x = -1, y=0.031

x=0, y= 0.25

x=1, y=2

x=2, y=16

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