Graphs of Quadratic Equations Quick Check

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Question
Use the image to answer the question.

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 4 to 6 in increments of 1. The y-ais ranges from negative 8 to 4 in increments of 1.

Identify one of the zeros (or x-intercepts) on the graph.

(1 point)
Responses

(0,−4)
left parenthesis 0 comma negative 4 right parenthesis

(0,2)
left parenthesis 0 comma 2 right parenthesis

x=1.5
x equals 1.5

(4,0)
left parenthesis 4 comma 0 right parenthesis
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1 answer

To identify one of the zeros (or x-intercepts) of the parabola from the graph described, you would look for points where the parabola intersects the x-axis. The x-intercepts are the points where \( y = 0 \).

Among the responses provided:

  • (0, −4)
  • (0, 2)
  • \( x = 1.5 \)
  • (4, 0)

The correct choice indicating one of the x-intercepts (zeros) would be (4, 0) since it shows the y-value as 0 at \( x = 4 \).

Thus, the answer is: (4, 0).

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