Question

Point p’ (1,5) is the image of p (-3,1) under a translation

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Answer 1

P' is the image of P under a translation by 4 units to the right and 4 units up

Explanation:

1.) The original point is P(-3,1) and the image is P'(1,5)

To get from an x coordinate of -3 to an x coordinate of 1, we have to add 4 units.

1-(-3)=4

That means we have to translate the figure 4 units to the right.

2.) To get from a y coordinate of 1 to a y coordinate of 5, we have to add 4 units.

5-1=4

This means we have to translate the figure 4 units up.

3.) Therefore, a translation by 4 units to the right and 4 units up.

Answer 2

X =
`(-x)/(3)`

Y = 5y.

Explanation:

We need to find the translation for which, (-3, 1) becomes (1, 5).

-3 will become 1, if it is divided by -3.

Hence, the translation for x axis is X =
`(-x)/(3)`.

1 will become 5, when it is multiplied by 5.

Hence, The translation for y axis is Y = 5y.