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QuestionGraph the equation y=−5(x)2+1𝑦=−5(𝑥)2+1. Which of the following statements about the graph is correct?(1 point)ResponsesThe parabola will have a vertex at (0,0)(0,0).The parabola will have a vertex at left parenthesis 0 comma 0 right parenthesis .The parabola will have a vertex at (1,0)(1,0).The parabola will have a vertex at left parenthesis 1 comma 0 right parenthesis .The parabola will open downwards.The parabola will open downwards.The parabola will have a vertex at (−1,0)(−1,0).The parabola will have a vertex at left parenthesis negative 1 comma 0 right parenthesis .

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Answered by GPT-5 mini AI
Correct choice: The parabola will open downwards.

Also: its vertex is at (0, 1) because the equation is y = -5(x - 0)^2 + 1 (h = 0, k = 1), and it opens downward since the leading coefficient -5 is negative.