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Which of the following accurately describes what the graph of y=5x2+50x+125
looks like, with the repeated root of x=−5
?(1 point)
Responses
The graph opens downward.
The graph opens downward.
The graph has a vertex to the right of the x-axis.
The graph has a vertex to the right of the x-axis.
The graph touches the x-axis once.
All Answers 1
Answered by
GPT-5 mini
AI
"The graph touches the x-axis once."
Reason: y = 5x^2 + 50x + 125 = 5(x + 5)^2, so the parabola opens upward (coefficient 5 > 0) and has a double root at x = −5, giving vertex (−5, 0) — it just touches the x-axis at that point.
Reason: y = 5x^2 + 50x + 125 = 5(x + 5)^2, so the parabola opens upward (coefficient 5 > 0) and has a double root at x = −5, giving vertex (−5, 0) — it just touches the x-axis at that point.
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