Math, asked by Roonie2070, 9 days ago

The function h(x)=1/2|x| is transformation of the absolute value parent function, f(x)=|x|. Which graph shows h(x)

Answers

Answered by yoyomandal044
1

Answer:

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Answered by Swati3101
0

Answer:

When the graph stretch vertically towards the axis then it shows h(x).

Step-by-step explanation:

Given that the function h(x)=\frac{1}{2\left | x \right |} is a transformation of the absolute value parent function f(x)=\left | x \right |.

We have to find which graph shows h(x)

Now h(x)=\frac{1}{2\left | x \right |}\\

or h(x)=\frac{1}{2}f(x)

We know the equation of the graph that is y=a.f(x)

Also, we know that if a > 0 then the graph stretch vertically away from the axis.

Now in this case a=\frac{1}{2} which is less than 1

So when a < 1 it causes the graph to stretch vertically towards the axis.

Therefore, when the graph stretch vertically towards the axis then it shows h(x)

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