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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.

Which of the following is true based on the graph of the quadratic?

(1 point)
Responses

The c-value of the equation in standard form is −10.
The c -value of the equation in standard form is negative 10 .

The vertex is located at (3,−10)
The vertex is located at left parenthesis 3 comma negative 10 right parenthesis

The c-value of the equation in standard form is −1.
The c -value of the equation in standard form is negative 1 .

The a-value is negative.
The a -value is negative.
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1 answer

To determine which statement is true based on the graph of the quadratic parabola, we need to analyze the features of the parabola.

  1. c-value of the equation in standard form: The c-value (the y-intercept) is found where the parabola intersects the y-axis. If the graph shows the y-intercept at -10, then the c-value is indeed -10. If it is not, then that statement is false.

  2. Vertex: The vertex of the parabola can be identified as the highest or lowest point (depending on whether it opens upward or downward). If the vertex is at (3, -10), that would need to correspond with the actual graph.

  3. c-value of -1: Similar to the first point, this depends on where the parabola intersects the y-axis.

  4. a-value is negative: If the parabola opens downward, then the a-value is negative. If it opens upward, the a-value is positive.

To select the correct response, compare these points with the actual graph you see. If the parabola opens downward, the statement about the a-value being negative is true. If the vertex is indeed at (3, -10), that statement is true as well.

Assuming typical characteristics of parabolas, if you find the parabola opens downward, the most likely correct answer is "The a-value is negative."

If you have access to the graph and can determine the specifics, please verify against these criteria.