find the image of (5,7) obtained by translating 4 units down, followed by a reflection over the y-axis

The image is (-5,3)

Step-by-step explanation:

Translation and Reflection

One point P of coordinates (x,y) can be translated by (a,b) units by adding the units to the corresponding coordinate. This will map P to P' of coordinates P'(x+a,y+b).

A reflection across the y-axis maps the point P(x,y) to the point P'(-x,y).

The point P(5,7) will first be translating 4 units down to get P'(5,7-4) = P'(5,3).

Point P'(5,3) will finally be reflected over the y-axis and maps to P''(-5,3).

The image is (-5,3)

22 dimes and 9 nickels

step-by-step explanation: