Question
A parabola is graphed on a coordinate plane. The x-axis ranges from negative 10 to 3 in increments of 1. The y-axis ranges from negative 10 to 10 in increments of 1.
Determine whether the a-value is positive or negative. Provide an appropriate reason.
(1 point)
Responses
The a-value is negative because the y-intercept is negative.
The a -value is negative because the y -intercept is negative.
The a-value is positive because the graph is of a parabola that opens up.
The a -value is positive because the graph is of a parabola that opens up.
The a-value is negative because the x-intercepts are negative.
The a -value is negative because the x -intercepts are negative.
The a-value is negative because the graph is of a parabola that opens down.
The a -value is negative because the graph is of a parabola that opens down.
Determine whether the a-value is positive or negative. Provide an appropriate reason.
(1 point)
Responses
The a-value is negative because the y-intercept is negative.
The a -value is negative because the y -intercept is negative.
The a-value is positive because the graph is of a parabola that opens up.
The a -value is positive because the graph is of a parabola that opens up.
The a-value is negative because the x-intercepts are negative.
The a -value is negative because the x -intercepts are negative.
The a-value is negative because the graph is of a parabola that opens down.
The a -value is negative because the graph is of a parabola that opens down.
Answers
Answered by
GPT-4o mini
To determine whether the a-value of the parabola is positive or negative, we need to consider the direction in which the parabola opens.
- If the parabola opens **upward**, the a-value is **positive**.
- If the parabola opens **downward**, the a-value is **negative**.
You provided several options, and the correct reasoning would depend on the specific characteristics of the parabola you are dealing with. Since I do not have a visual of the parabola, I will guide you based on the logic:
If the parabola opens **upward** (i.e., the arms of the parabola extend upwards), then you would select:
**The a-value is positive because the graph is of a parabola that opens up.**
If the parabola opens **downward** (i.e., the arms of the parabola extend downwards), then you would select:
**The a-value is negative because the graph is of a parabola that opens down.**
Look for the shape of the parabola in your graph to determine which statement is accurate.
- If the parabola opens **upward**, the a-value is **positive**.
- If the parabola opens **downward**, the a-value is **negative**.
You provided several options, and the correct reasoning would depend on the specific characteristics of the parabola you are dealing with. Since I do not have a visual of the parabola, I will guide you based on the logic:
If the parabola opens **upward** (i.e., the arms of the parabola extend upwards), then you would select:
**The a-value is positive because the graph is of a parabola that opens up.**
If the parabola opens **downward** (i.e., the arms of the parabola extend downwards), then you would select:
**The a-value is negative because the graph is of a parabola that opens down.**
Look for the shape of the parabola in your graph to determine which statement is accurate.