Answer:
(x, y) ⇒ (-x+3, y-7)
Step-by-step explanation:
Notations vary. We don't know what you consider to be "correct notation," so we'll use a reasonable notation and you can translate it to the form you're used to seeing.
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Reflection across the y-axis reverses the sign of the x-coordinate. Points that were to the right of x=0 are now to the left, and vice versa. That transformation is ...
(x, y) ⇒ (-x, y)
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Translation 3 units right increases the x-coordinate value by 3.
Translation 7 units down decreases the y-coordinate value by 7.
These translations have a transformation ...
(x, y) ⇒ (x +3, y -7)
Together, the two transformations are ...
(x, y) ⇒ (-x, y) ⇒ (-x +3, y -7)
The combined transformation can be described by ...
(x, y) ⇒ (-x+3, y-7)
