Question

What value of k transforms the graph of f(x)=0.5x+3 into graph g? Describe the transformation.

Answer 1

Using translation concepts, the values of k are given as follows:

• 7. k = 3.

• 8. k = -2.

• 9. k = 2.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem:

• In graph 7, g(x) is a shift up of 3 units of f(x), hence k = 3.

• In graph 8, g(x) is a shift left of 2 units of f(x), that is, g(x) = f(x + 2), hence k = -2.

• In graph 9, g(x) is a vertical stretch by a factor of 2 of f(x), that is, g(x) = 2f(x), hence k = 2.

More can be learned about translation concepts at brainly.com/question/27885240

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