Consider the graph of the function fx shown below Apply the

Consider the graph of the function f(x) shown below. Apply the following transformations to the graph: Shift left 1 Stretch the graph horizonatlly by 3 Stretch the graph vertically by -2 What are the the new coordinates for each point?

Solution

with scale of 1 unit on x axis and 1 unit on y axis

current coordinates of points are A(-6,-3),B(-4,3),C(0,3),D(2,1),E(4,6)

shift left by 1 unit,A(-6+1,-3),B(-4+1,3),C(0+1,3),D(2+1,1),E(4+1,6)

shift left by 1 unit,A(-5,-3),B(-3,3),C(1,3),D(3,1),E(5,6)

stretch horizontally by 3 ,A(-5*3,-3),B(-3*3,3),C(1*3,3),D(3*3,1),E(5*3,6)

stretch horizontally by 3 ,A(-15,-3),B(-9,3),C(3,3),D(9,1),E(15,6)

stretch vertically by -2 ,A(-15,-3*(-2)),B(-9,3*(-2)),C(3,3*(-2)),D(9,1*(-2)),E(15,6*(-2))

stretch vertically by -2 ,A(-15,6),B(-9,-6),C(3,-6),D(9,-2),E(15,-12)