a. the image of (2, -1)

b. the preimage of (3, 5)

a. the image of (-2, 1)

b. the preimage of (3, 2)

Given the translation T(x,y) → (x – 4, y + 2), find:

a. the image of (2, -1)

b. the preimage of (3, 5)

a. the image of (2, -1)

b. the preimage of (3, 5)

Given the translation T(x,y) → (x – 1, y + 2), find:

a. the image of (-2, 1)

b. the preimage of (3, 2)

a. the image of (-2, 1)

b. the preimage of (3, 2)

Tutors, sign in to answer this question.

Kahroline D. | I CAN teach you Mathematics!!I CAN teach you Mathematics!!

I) Under the transformation T(x,y) → (x-4,y+2), we have that:

a) T(2,-1)=(2-4,-1+2)=(-2,1)

If a point (x,y) has already been through the transformation, then the previous x-coordinate decreased by 4, and the y-coordinate increased by 2 - hence we perform the opposite operations; i.e.:

b) (3,5)=(x-4,y+2); equating x-coordinates: 3=x-4, or x=7

equating y-coordinates: 5=y+2 or y=3

Hence the pre-image of the point (3,5), was (7,3)

II) Under the transformation T(x,y)→ (x-1,y+2), we have that:

a) T(-2,1)=(-2-1,1+2)=(-3,3)

If a point (x,y) has already been through the transformation, then its x-coordinate has decreased by one, and its y-coordinate has increased by two - so we perform the opposite operations to find the pre-image:

b) (3,2)=(x-1,y+2); equating x-coordinates: 3=x-1, or x=4

equating y-coordinates: 2=y+2, or y=0

Hence the pre-image of (3,2), is the point (4,0)

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Nikita K.

Math, Science, English, GRE, SAT, and ACT Tutor!

$12.50 per 15 min

View Profile >

Alexis G.

All-Subject/Test Prep Tutor, Specializing in Language Instruction

$11.25 per 15 min

View Profile >

Cindy B.

Math, science, and English tutor; K-12 and remedial

$11.25 per 15 min

View Profile >