Question

Match each transformation of function fwith a feature of the transformed function.

Answer 1

The functions and their properties are

• The function f(x) has its vertical asymptote at x = 0
• The x-intercept of the function h(x) is (0.5,0)

How to match the functions and their properties?

The equations of the functions are given as:

f(x) = ln(x)

g(x) = -1/2f(x - 2)

h(x) = f(x - 1/2)

From the given graph, we can see that the function f(x) has its vertical asymptote at x = 0

h(x) = f(x - 1/2) implies that the function f(x) is shifted 1/2 units right to form h(x)

This means that the x-intercept of the function h(x) is 1/2 units to the right of the x-intercept of the function f(x)

Hence, the x-intercept of the function h(x) is (0.5,0)

Read more about functions at:

brainly.com/question/4025726

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