The graph shows \( f(x)=|x-h|+k \). What is the value of \( h \) ? \( h=2.5 \) \( h=-1.5 \) \( h=1.5 \) \( h=-2.5 \)
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Beyond the Answer
To find the value of \( h \), remember that in the function \( f(x) = |x-h| + k \), the value \( h \) represents the x-coordinate of the vertex of the graph. If you have a visual graph to analyze, look for the point where the V-shape (which represents the absolute value function) changes direction. This point indicates the value of \( h \). Now, if you have any specific points from the graph in mind where it crosses the x-axis or the vertex itself, you can determine \( h \) more accurately by looking at those intersections. If, for example, the vertex is at \( x=2.5 \), then that's your value for \( h \)!
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