Question

question 14 5 pts a triangle has vertices at (1, 2), (3, 4), and (5, 2). if the triangle is reflected over the y - axis and then translated 2 units down, what are the coordinates of the image of the vertex (3, 4)? o (-3, 2) o (-3, 6) o (3, 2) o (-3, 4)

Explanation:

Step1: Reflect point over y - axis

The rule for reflecting a point $(x,y)$ over the y - axis is $(-x,y)$. Given the point $(3,4)$, after reflection over the y - axis, it becomes $(-3,4)$.

Step2: Translate 2 units down

The rule for translating a point $(x,y)$ 2 units down is $(x,y - 2)$. For the point $(-3,4)$, after translation 2 units down, we have $(-3,4 - 2)=(-3,2)$.

Answer:

$(-3,2)$