Question

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are the coordinates of B' after the translation?

Answer 1

B: (-3,6)

Explanation:

just got it right

Answer 2

`B' = (-3,6)`

Explanation:

Given

`A(4,5)`

`B(0,5)`

`C(3,-1)`

Translation: 3 units left and 1 unit right

Required

Determine the new coordinates of B

Write out the coordinates of B

`x = 0`

`y = 5`

When a function is shifted to the left, we have to subtract the unit from the x value of the function;

Shifting by 3 units left, the new x becomes

`New\ x = 0 - 3`

`New\ x = -3`

When a function is shifted upward, we have to add the unit to the y value of the function;

Shifting by 1 unit up, the new y becomes

`New\ y = 5 + 1`

`New\ y = 6`

Hence, the new coordinates of B is

`B' = (-3,6)`