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Which graph represents the function h(x) = |x| + 0.5? On a coordinate plane, an absolute value graph has a vertex at (0, 1.5). On a coordinate plane, an absolute value graph has a vertex at (negative 0.5, 0). On a coordinate plane, an absolute value graph has a vertex at (0, 0.5). On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, 0).

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oladayoademosu

Answer:

On a coordinate plane, an absolute value graph has a vertex at (negative 0, 0.5).

Step-by-step explanation:

h(x) = |x| + 0.5

Has its vertex at h(x) = 0, h(x) = |x| + 0.5

0 = |x| + 0.5

|x| = -0.5

So x = -0.5

So, the vertex is at (-0.5, 0)

MrRoyal

The graph that represents [tex]h(x) = |x| + 0.5[/tex] is (a) on a coordinate plane, an absolute value graph has a vertex at (0, 1.5)

The function is given as:

[tex]h(x) = |x| + 0.5[/tex]

An absolute function is represented as:

[tex]h(x) = |x - h| + k[/tex]

Where:

[tex]Vertex=(h,k)[/tex]

By comparison:

[tex](h,k) = (0,0.5)[/tex]

i.e. the vertex of function h(x) is (0,0.5)

Hence, the graph that represents [tex]h(x) = |x| + 0.5[/tex] is (a)

Read more about absolute functions at:

https://brainly.com/question/7515527