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QUESTION IMAGE

question reflect the figure over the line y = 2. plot all of the points…

Question

question reflect the figure over the line y = 2. plot all of the points of the reflected figure. you may click a plotted point to delete it.

Explanation:

Step1: Recall reflection formula

For a point $(x,y)$ reflected over the horizontal line $y = k$, the new - point $(x,y')$ has the formula $y'=2k - y$. Here $k = 2$.

Step2: Apply formula to each point

Let the points of the original figure be $(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)$. The reflected points will be $(x_1,4 - y_1),(x_2,4 - y_2),(x_3,4 - y_3),(x_4,4 - y_4)$. Plot these new points to get the reflected figure.

Answer:

Plot the points obtained by using the formula $(x,4 - y)$ for each point $(x,y)$ of the original figure.