Question

Which of the following accurately describes what the graph of y=x2−6x+9 looks like with the repeated root of x=3 ?(1 point)ResponsesThe graph opens downward.The graph opens downward.The graph touches the x-axis once at x = 3The graph touches the x-axis once at x = 3The graph touches the x-axis twice.

Answer 1

y = x^2 − 6x + 9 = (x − 3)^2, so the parabola opens upward and has its vertex at (3, 0). It therefore touches the x‑axis exactly once at x = 3 (a repeated root).