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Ahat [919]
3 years ago
9

6

Mathematics
1 answer:
nirvana33 [79]3 years ago
5 0

Answer:

A'(0,2), B(1, -2). C'(3,2)

Step-by-step explanation:

Given

A = (-4,-1)

B = (-3,-5)

C =(-1,-1)

Solving (a); Graph and Label ABC

See attachment for graph

Solving (b): Graph and Label A'B'C'

Translation:

4 units right

3 units up

<u>4 units right</u>

The rule is:

(x,y) \to (x + 4,y)

So, we have:

A = (-4,-1) ==> (-4+4,-1) =(0,-1)

B = (-3,-5) ==> (-3+4,-5) =(1,-5)

C =(-1,-1) ==> (-1+4,-1) =(3,-1)

<u>3 units up</u>

The rule is:

(x,y) \to (x,y+3)

So, we have:

(0,-1) ==> A' =(0,-1+3) = (0,2)

(1,-5) ==> B' =(1,-5+3) = (1,-2)

(3,-1) ==> C' =(3,-1+3) = (3,2)

The coordinates of A' B' and C' are:

A'(0,2), B(1, -2). C'(3,2)

<em>See attachment for graph</em>

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Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
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