The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = a|x| is solid. Use the slider to change the value of a. How does changing the value of a affect the graph? When 0 < a < 1, the graph the graph of the parent function. When a = 1, the graph the graph of the parent function. When a > 1, the graph the graph of the parent function.

Respuesta :

1st part: gets wider

2nd: does not change

3rd: gets narrower

1.The graph gets wider

2. The graph does not change

3. The graph gets narrower

Rule of Transformation

  • A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size. The scale factor of a dilation is the factor by which each linear measure of the figure is multiplied.

So we have the function f(x) = |x| and transformed function g(x) = a|x|

Case 1: When 0 < a < 1

In this case the graph gets wider.

Case 2: When a = 1

In this case the graph does not change

Case 3: When a > 1

In this case the graph gets narrower

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