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Question 7 • Algebra 1

Which graph represents the function h of x is equal to absolute value of x plus 0 point 5 ?

Answer

Image with description A coordinate plane with a V-shaped graph. The x and y axes are labeled from negative 3 to 3 in increments of 1. The graph opens upward with a vertex at negative 0.5 comma 0, with one ray extending toward the upper left and the other extending toward the upper right from the vertex.

Image with description A coordinate plane with a V-shaped graph. The x and y axes are labeled from negative 3 to 3 in increments of 1. The graph opens upward with a vertex at negative 1.5 comma 0, with one ray extending toward the upper left and the other extending toward the upper right from the vertex.

Image with description A coordinate plane with a V-shaped graph. The x and y axes are labeled from negative 3 to 3 in increments of 1. The graph opens upward with a vertex at 0 comma 1.5, and passes through the points negative 1 comma, 2.5, and 1 comma 2.5.

Explanation

For h(x) = |x + 0.5|, the graph of |x| shifts 0.5 unit to the left, so its vertex is at (−0.5, 0) and it opens upward. Choice A has that vertex and shape. Choice B is described identically to A, so it would also represent the function as written.

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