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2 3 Activity A: Get the Gizmo ready: The graph of Turn off Show x-intercepts y = a(x - r,)(x - r,) Turn on Show probe Set a to 1, r, to -3, and r, to 2. The function graphed in the Gizmo should be y = (x + 3)(x - 2). A. What are the values of r, and / for this equation? B. Drag the probe to r, and then . What is the y value at each of these points? C. Evaluate y = (x + 3)(x - 2) at x = r and then at x = r. Show your work below D. Turn on Show x-intercepts What happens when the function is evaluated at its x-intercepts? The x-intercepts are the roots, or solutions of the related equation (x + 3)(x - 2) = 0 E. If the product of (x - r ) and (x - r) is zero what must be true about at least one of these factor This is the zero product property 2. With a set to 1, vary the values of r, and r, to graph different functions of the form y = (x - r,)(x - r,). What is the value of y = (x - r )(x -r) at r, andr? 3Graph y = 4(x - 1)(x + 5) in the Gizmo A. What are the values of r, and for this function? B. Why are r, and. " roots of the equation 4(x - 1)(x + 5) = 0? c _Vary a to graph different functions of the form y - a(x - 1)(x + 5). Does a have any effect on the roots? Explain