Question

Which of the following accurately describes what the graph of y=5x2+50x+125
looks like, with the repeated root of x=−5
.

Statement #1: the graph opens downward.

Statement #2: The graph has a vertex to the right of the x-axis.

Statement #3: The graph touches the x-axis once.

(1 point)

Answer 1

y = 5x^2 + 50x + 125 = 5(x + 5)^2, so the parabola opens upward, has vertex at (-5, 0), and touches the x-axis once at x = −5.

Therefore:
- Statement 1: False
- Statement 2: False
- Statement 3: True