Question

Identify the algebraic description that maps a point (3, 7) onto another point (-5, 7).

A) (x,y) → (x-8, y)
B) (x,y) → (x, y - 8)
C) (x, y) → (x, y + 8)
D) (x,y) → (x+8, y)

Answer 1

A) (x, y) → (x-8, y)

Step-by-step explanation:

Present Point: (3, 7)

Future Point: (-5, 7)

The change be: (x, y)

Solve:

(3, 7) + (x, y) → (-5, 7)

change side

(x, y) → (-5, 7) - (3, 7)

simplify the following

(x, y) → (-8, 0)

Therefore, we identify this using (x - 8, y)

Answer 2

A) (x, y) → (x - 8, y)

Step-by-step explanation:

(3, 7) → (-5, 7)

Without adding or subtracting any values, we can immediately tell that the y-value did not change, but the x-value did. With this, we are left with choices A and D.

A) (x, y) → (x - 8, y)

(3, 7) → (3 - 8, y)

(3, 7) → (-5, 7)

This matches our problem, and therefore, A is the correct answer.

Hope this helps!