Question

The triangle with coordinates (2,-3),(2,1),(-4,2) is reflected

across the y-axis and then translated by vector
(3,-2).
Part A
Find the new coordinates

Part B
What is the composition of functions for the
given sequence of transformations?
(x, y) → (

Answer 1

PART A : points to graph (7,0)(1,-1)(2,-5)

PART B: (x, y) => (-x+3, y-2)

Explanation step by step :

Reflected across y axis means y-coordinate of every point remains same and x-cordinate become opposite

(x, y) become (-x, y)

Here,

(-4, 2) become (4, 2)

(2, 1) become (-2, 1)

(1,-3) become (-1,-3)

Similarly a point P(x, y) translated by vector <3, -2> means the point P become P'(x+3, y-2)

(4, 2) become (7,0)

(-2, 1) become (1, -1)

(-1,-3) become (2,-5)

So the composition of function for the given sequance of transfermation is (x, y) = (-x+3, y-2)

Note : graph not accurate, just for explanation.