Question

Which function represents a reflection of f(x) = 2(0. 35)x over the y-axis?

h(x) = 2(0. 35)x
h(x) = –2(0. 35)x
h(x) = 2(0. 35)–x
h(x) = 2(–0. 35)–x

Answer 1

(c) h(x) = 2(0. 35)^–x

Explanation:

You want to know the function that is a reflection of f(x) = 2(0.35^x) over the y-axis.

Reflection in y-axis

When a point is reflected across the y-axis, the sign of its x-coordinate is changed. The y-coordinate is unchanged.

For a function y = f(x), the reflected function is y = f(-x).

For h(x) = 2(0.35^x), the reflected function is ...

h(x) = 2(0.35^-x)

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