The graph of is shown below. Assume the domain of is and that the vertical spacing of grid lines is the same as the horizontal spacing of grid lines.
Part (a): The points \((a,4)\) and \((b, -4)\) are on the graph of \(y = f\left( 2x \right).\) Find a and b.
Part (b): Find the graph of \(y = f\left( 2x \right).\) Verify that your points from part (a) are on the graph.
Part (c): The points \((c,4)\) and \((d,-4)\) are on the graph of \(y = f\left( 2x - 8 \right).\) Find c and d.
Part (d): Find the graph of \(y = f\left( 2x - 8 \right).\) Be sure to verify that your points from part (c) are on the graph both algebraically and geometrically.
