Question

Someone please help!!!!!

Point Z (-3, 4) is translated using the rule (x, y) → (x + 2, y - 1). It is then reflected across the x-axis.

A. Determine the point location of the image.
B. Use complete sentences to describe the transformations that map point Z onto its image. Include specific transformation rules in your description.

Answer 1

Answer with explanation:

We are given a location of point Z as :

Z(-3,4)

Also, we have to first translate this point by using the rule:

(x,y) → (x+2,y-1)

This means that the point Z is translated to:

Z(-3,4)→ Z'(-3+2,4-1)=Z'(-1,3)

i.e. Z(-3,4) → Z' (-1,3)

Now again this transformed point is reflected across the x-axis by the rule:

(x,y) → (x,-y)

Hence, the transformed point will be:

Z'(-1,3) → Z''(-1,-3)

Hence, we get that:

Z(-3,4) → Z''(-1,-3)