Question

which could be the graph of f(x)=|x-h|+k if h and k are both positive

Answer 1

The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).

Answer: correct choice is A.

Answer 2

The the graph for the linear systems, in which, h and k are both positive is shown in option B. Option B is correct.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1.

A one-dimension figure that has no width. It is a combination of infinite points side by side.

The equation given in the problem is,

f(x)=|x-h|+k

Here, h and k are both positive.

To select the graph of the linear function of the equation f(x)=|x-h|+k where, h and k are both positive follow the steps below-

• If the variable h is subtracted from the f(x), then it shifts toward the right by h unit.

• If the variable k is added to the f(x), then it shifts toward the up by k unit.

Thus, the graph two shows the given equation. Option B is correct.

Learn more about the linear system here;

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