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lapo4ka [179]
3 years ago
8

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?
Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0

Answer:

B' = (-3,6)

Step-by-step explanation:

Given

A(4,5)

B(0,5)

C(3,-1)

<em>Translation: 3 units left and 1 unit right</em>

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;

<em>Shifting by 3 units left, the new x becomes </em>

<em />New\ x = 0 - 3<em />

<em />New\ x = -3<em />

<em />

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

<em>Shifting by 1 unit up, the new y becomes </em>

New\ y = 5 + 1

New\ y = 6

Hence, the new coordinates of B is

B' = (-3,6)

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