Use the image to answer the 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.

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

The a-value is negative.
The a -value is negative.

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 −10
.

1 answer

To determine which statements are true based on the graph of the parabola, we can analyze the given options:

  1. The c-value of the equation in standard form is -1.
  2. The c-value of the equation in standard form is -10.

In standard form, \(y = ax^2 + bx + c\), the c-value represents the y-intercept of the parabola. If the parabola intersects the y-axis at -10, then the c-value would be -10. If it intersects at -1, then the c-value would be -1. Without the image, we cannot definitively select between these two.

  1. The a-value is negative.

A parabola opens upwards if the a-value is positive and downwards if it is negative. If the graph shows that the parabola opens downwards, then this statement is true.

  1. The vertex is located at (3, −10).

The vertex is the highest or lowest point of the parabola. Depending on the graph's peak or trough point, you can check if it aligns with the point (3, -10).

To finalize the correct answers, the relevant information from the image is needed. If the y-intercept is at -10, then the second statement about the c-value is true. If the parabola opens downward, then the a-value is negative. The vertex statement needs confirmation from the graph.

Without seeing the graph, I cannot provide a definitive answer, but I suggest checking the y-intercept, the direction of the parabola, and the vertex point in the graph to choose the correct options.

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