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2. the image of a will be 2 units away from the x - axis along the vert…

Question

  1. the image of a will be 2 units away from the x - axis along the vertical line x = - 4. plot a. 3. how many units away from the x - axis is point b

Explanation:

Step1: Understand the coordinate - rule

The vertical line is \(x = - 4\). The distance from the \(x\) - axis is given as 2 units.

Step2: Determine the possible \(y\) - coordinates

Since the distance from the \(x\) - axis is 2 units, the \(y\) - coordinate of \(A'\) can be \(y = 2\) or \(y=-2\). But from the graph, it seems the point \(A'\) is below the \(x\) - axis, so \(y=-2\). The \(x\) - coordinate of \(A'\) is \(x = - 4\) as it lies on the line \(x=-4\). So the coordinates of \(A'\) are \((-4,-2)\).

Answer:

The point \(A'\) is plotted at \((-4,-2)\) on the graph.