Question

For 31

Step 1

From the given diagram the points of the graph of *y*= *f*(*x*) are (–1,–2),(0,1) and (2,–1).

Given function is *y*= *f*(*2x*).

Note that, *f*(*kx*) stretches/ shrinks *f*(*x*) horizontally. That is, *y*=*f*(*kx*) is the graph of *f*(*x*) horizontally shrunk or compressed by dividing each of it’s *x* - coordinates by *k*.

Step 2

For transformation of graph of the function *y*=*f*(*x*) to *y*= *f*(*2x*) divide each of *x* - coordinates by 2.

Then the coordinates of the graph of the function *y*= *f*(*2x*) are (–0.5,–2), (0,1) and (1,–1).

Step 3

Plot these points and connect them with a smooth curve.

The graph of the funct...

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