Question

Which algebraic representation shows an enlargement?

(x, y) → (12x, 12y)
(x, y) → (3x, y)
(x, y) → (x+3, y+3)
(x, y) → (3x, 3y)

Answer 1

what the guy above me said

Explanation:

Answer 2

(x, y) → (12x, 12y)

(x, y) → (3x, 3y)

Explanation:

When we enlarge by a scale factor of k, about the origin, the rule is

`(x,y)\to (kx,ky)`

An enlargement could be a magnification or a reduction.

When

`0 \: < \: k \: < 1`

the enlargement is a reduction.

When

`|k| \: > \: 1`

the enlargement is a magnification.

Therefore we have two correct answers.

(x, y) → (12x, 12y)

(x, y) → (3x, 3y)