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Describe a way to transform each graph so that it goes through the labeled points.

Describe a way to transform each graph so that it goes through the labeled points-example-1

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Answer:

  • reflect in x-axis
  • T(-1, -1)
  • reflect in x-axis
  • scale vertically by 1/2

Explanation:

There are several ways to transform each graph. You can translate it, scale it*, or both. Here are some possibilities.

(a) reflect across the x-axis. The given point has an opposite y-value of one that is on the graph.

(b) translate down 1 and left 1. The graph goes through (0, 1). To make it go through (-1, 0), we need to translate by (-1, -1).

(c) reflect across the x-axis. The given point has an opposite y-value of one that is on the graph.

(d) scale vertically by a factor of 1/2. The given points have half the y-value of points on the graph.

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