Question

Draw the x-axis and y-axis and the vertical line jwith equation $x=5$. Find the images under $R_j$ of the following points.

1. $\left(4,3\right)$
2. $\left(0,-2\right)$
3. $\left(-3,1\right)$
4. $\left(x,y\right)$

Short answer

a.

b.

c.

d.

Step-by-step solution

a.Step 1. Given Information.

The given line is $x=5$ and the point is $\left(4,3\right)$.

Step 2. Explanation.

Therefore, the graph is obtained as,

Step 3. Conclusion.

The graph is obtained with mirror image of the point $\left(4,3\right)$ at $\left(6,3\right)$.

b.Step 1. Given Information.

The given line is $x=5$ and the point is $\left(0,-2\right)$.

Step 2. Calculation.

Therefore, the graph is obtained as,

Step 3. Conclusion.

The graph is obtained with mirror image of the point $\left(0,-2\right)$ at $\left(10,-2\right)$.

c.Step 1. Given Information.

The given line is $x=5$ and the point is $\left(-3,1\right)$.

Step 2. Calculation.

Therefore, the graph is obtained as,

Step 3. Conclusion.

The graph is obtained with mirror image of the point $\left(-3,1\right)$ at $\left(10,1\right)$.

d.Step 1. Given Information.

The given line is $x=5$ and the point is $\left(x,y\right)$.

Step 2. Calculation.

Therefore, the graph is obtained as,

Step 3. Conclusion.

The graph is obtained with mirror image of the point $\left(x,y\right)$ at $\left(10-x,y\right)$.

Let us assume that $\left(x,y\right)$ is $\left(0,0\right)$ then the mirror image will be at $\left(10,0\right)$.