Part A: Explain why the x-coordinates of the points where the graphs of the equations y = –8x and y = –2(x+3) intersect are the solutions of the equation –8x = –2(x+3) . (2 points) Part B: Make a table with 3 columns x, y=–8x, and y=–2(x+3). Make the integer values of x between −3 and 3. What is the solution to –8x = –2(x+3)? ( 6 points) Part C: How can you solve the equation –8x = –2(x+3) graphically? (2 points) (10 points)

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Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c