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

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

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

The a-value is negative.

1 answer

In the context of a quadratic function in standard form \( y = ax^2 + bx + c \), the c-value represents the y-intercept (the value of \( y \) when \( x = 0 \)).

Without being able to see the image, I can't determine the exact values or characteristics of the parabola. However, I can help you interpret the responses based on the typical attributes of a parabola.

  1. If the parabola opens downwards, the a-value is negative.
  2. The c-value can be determined from the graph at the point where the parabola intersects the y-axis (when \( x = 0 \)).
  3. The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

If you can provide the y-intercept or the general shape (whether it's opening upwards or downwards), I can help you narrow down which statement is true based on the graph.