In the graph of the square root function y = 3 sqrt(x - 7) + 2, what are the coordi...
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Problem
In the graph of the square root function y = 3 * sqrt(x - 7) + 2, what are the coordinates of the point farthest to the left?
Step-by-step solution
The square root function is defined when the expression under the radical is non-negative. Thus, $x-7 \ge 0$, which means $x \ge 7$. The smallest possible value for $x$ is 7. When $x=7$, $y = 3\sqrt{7-7} + 2 = 3\sqrt{0} + 2 = 2$. Therefore, the point farthest to the left is $(7, 2)$.
Answer
(7, 2)