Graphs of Quadratic Equations Quick Check

Question

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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

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

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

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

x=1.5
x equals 1.5
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Answer 1

To identify the zero (or x-intercept) of the parabola from the description, we are looking for a point where the graph crosses the x-axis. The x-intercepts will have a y-coordinate of 0.

From the given options:

1. (0, 2) - This is not an x-intercept since the y-coordinate is 2.
2. (0, −4) - This is also not an x-intercept since the y-coordinate is -4.
3. (4, 0) - This is an x-intercept because the y-coordinate is 0.
4. x = 1.5 - This indicates a point on the x-axis but does not specify a graph point.

Thus, one of the zeros (or x-intercepts) on the graph is (4, 0).