(B) To determine which statements are true about the graph of y=(2x−4)(x−8), consider each statement in turn.If y=(2x−4)(x−8), then y=2x2−20x+32 so its line of symmetry isx​=−2ab​=−2(2)−20​=5​so Statement I is true.Since the x-coordinate of the vertex is 5 , find the y-coordinate of the vertex by replacing x with 5 in its equation.Using the equation y=(2x−4)(x−8) :y​=(2(5)−4)(5−8)=6(−3)=−18​Statement II is false since it states that the minimum value of the function is −7.To find the y-intercept of the parabola, set x=0 :y​=(2(0)−4)(0−8)=(−4)(−8)=32​Statement III is true.Hence, only Statements I and III are true.