A student graphed a square root function. What is the equation of the function grap...
Check the final answer first, then review the worked steps.
Check the final answer first, then review the worked steps.
The graph starts at (4,0) and passes through (8,1). The general form of a square root function is $y = a\sqrt{x-h} + k$. From the graph, $(h,k) = (4,0)$. Substituting (8,1) into $y = a\sqrt{x-4}$ gives $1 = a\sqrt{8-4}$, so $1 = a\sqrt{4}$, which means $1 = 2a$, and $a = 1/2$.