Question

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.
The parabola passes through coordinates left parenthesis negative 8 comma negative 6 right parenthesis, left parenthesis negative 6 comma 6 right parenthesis, left parenthesis negative 4 comma 10 right parenthesis, left parenthesis negative 2 comma 6 right parenthesis, and left parenthesis 0 comma negative 6 right parenthesis.


Determine whether the a-value is positive or negative. Provide an appropriate reason.

(1 point)
Responses

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.

The a-value is negative because the y-intercept is negative.
The a -value is negative because the y -intercept is negative.

Answer 1

The a-value is negative because the graph is of a parabola that opens down (the vertex at (-4,10) is a maximum).