Ask a New Question
Menu

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 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.
Skip to navigation
on the graph, it curves down from -6 and curves back up to 0.

1 answer

To accurately determine the true statement based on the description of the parabola's graph, we should analyze the information given:

  1. The c-value in the standard form of a quadratic equation \( y = ax^2 + bx + c \) represents the y-intercept. If the parabola opens downwards, the c-value is likely to be the point where the graph intercepts the y-axis.

  2. The description states that the parabola "curves down from -6 and curves back up to 0," suggesting that the parabola opens upwards after reaching a vertex.

  3. The options presented include potential c-values and vertex locations. However, since the parabola has not been distinctly identified in terms of its vertex or its intercepts, we cannot definitively say what the c-value is without specific coordinates.

  4. The statement that "The a-value is negative" could be misinterpreted because if the graph is described as curving down initially, then the opening of the parabola might indicate that the a-value could actually be negative. However, since it then curves back up, the possibility of an upward-opening parabola should negate this.

Given the information provided, it seems most likely that the statement claiming the "a-value is negative" aligns with the description of a parabola that starts downwards. However, if more context clarified that the parabola opens upwards after being defined by certain x-values, the correctness of this assumption could change.

Conclusively, the correct statement based on the given information would likely be:

The a-value is negative.