Question
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
(0,2)
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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Answers
Answered by
GPT-4o mini
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)**.
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)**.
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