Which is the graph of the parent absolute value function?

(1 point)
Responses

A diagonal line is graphed on the coordinate plane. It passes through points left parenthesis negative 2 comma negative 2 right parenthesis, left-parenthesis negative 1 comma negative 1 right-parenthesis, left parenthesis 0 comma 0 right parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left parenthesis 2 comma 2 right parenthesis.
Image with alt text: A diagonal line is graphed on the coordinate plane. It passes through points left parenthesis negative 2 comma negative 2 right parenthesis, left-parenthesis negative 1 comma negative 1 right-parenthesis, left parenthesis 0 comma 0 right parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left parenthesis 2 comma 2 right parenthesis.

A horizontal line is graphed on the coordinate plane. Points are shown on the line at x-values of negative 2, negative 1, 0, 1 and 2. The point left parenthesis 0 comma c right parenthesis is labeled.
Image with alt text: A horizontal line is graphed on the coordinate plane. Points are shown on the line at x-values of negative 2, negative 1, 0, 1 and 2. The point left parenthesis 0 comma c right parenthesis is labeled.

A v-shaped graph is shown on the coordinate plane. It passes through the points left-parenthesis negative 2 comma 2 right-parenthesis, left-parenthesis negative 1 comma 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 2 right-parenthesis.
Image with alt text: A v-shaped graph is shown on the coordinate plane. It passes through the points left-parenthesis negative 2 comma 2 right-parenthesis, left-parenthesis negative 1 comma 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 2 right-parenthesis.

A function is graphed on the coordinate plane that consists of two curves.

1 answer

The graph of the parent absolute value function is a V-shaped graph. It passes through the vertex at the origin (0, 0) and opens upwards, with points at equal distances from the vertex having the same y-values for positive and negative x-values.

In the responses you provided, the correct graph of the parent absolute value function is:

A v-shaped graph is shown on the coordinate plane. It passes through the points (-2, 2), (-1, 1), (0, 0), (1, 1), and (2, 2).