Algebra-1

The graph is an absolute value function.

The vertex is at (0, 3).

The graph is symmetric about the y-axis.

The graph opens upward.

Analyzing the Options

f(x) =∣x∣+ 3:

This function has a vertex at (0, 3) and opens upward. It is symmetric about the y-axis.

This matches all given conditions.

f(x) =∣x∣− 3:

This function has a vertex at (0, −3), not (0, 3), and opens upward.

This does not match the vertex requirement.

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