Question

1. in the graph below, what are the coordinates for d when we reflect across the y - axis? (-3,1) (-3,-1) (3,1) (3,-1)

Explanation:

Step1: Recall the rule for reflecting a point across the y - axis

When reflecting a point \((x,y)\) across the y - axis, the rule is \((x,y)\to(-x,y)\).

Step2: Identify the coordinates of point D

Assume the coordinates of point D are \((- 3,-1)\) (from the general graph - reading process where we look at the x and y displacements from the origin. If we assume the original point D has \(x=-3\) and \(y = - 1\)).

Step3: Apply the reflection rule

Using the rule \((x,y)\to(-x,y)\), when \(x=-3\) and \(y=-1\), we substitute \(x\) into \(-x\). So \(-x=-(-3) = 3\) and \(y\) remains \(-1\).

Answer:

\((3,-1)\)