Answer:
[tex]B' = (-3,6)[/tex]
Step-by-step explanation:
Given
[tex]A(4,5)[/tex]
[tex]B(0,5)[/tex]
[tex]C(3,-1)[/tex]
Translation: 3 units left and 1 unit right
Required
Determine the new coordinates of B
Write out the coordinates of B
[tex]x = 0[/tex]
[tex]y = 5[/tex]
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
[tex]New\ x = 0 - 3[/tex]
[tex]New\ x = -3[/tex]
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
[tex]New\ y = 5 + 1[/tex]
[tex]New\ y = 6[/tex]
Hence, the new coordinates of B is
[tex]B' = (-3,6)[/tex]
