If $$P=(2,5)$$ is stretched vertically by a factor of $$3$$ then translated $$4$$ units horizontally to the right to point $$Q$$, the $$y$$ coordinate for $$Q$$ is `____`.

Flashcard 6 - 11th Grade Mathematics: Geometry Flashcard Set for the SBAC

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\[15\]

Explanation:

First, multiply the $y$-coordinate for $P$ by $3$ to get $5\cdot 3=15$. Next, add $4$ to the $x$ coordinate of $P$ to get $2+4=6$. $Q$ is the transformed point with coordinates $(15, 6)$ so, $y = 15$.

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