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

Answer:

$B' = (-3,6)$

Step-by-step 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

$B' = (-3,6)$