Question

composition function
t<2, - 3>°r_x - axis
determine the final coordinate of a.
type your answer in coordinate form. for example, you can type point a as (-2, -2)
c(-6,0)
a(-2,-2)
b(-7,-4)

Explanation:

Step1: Reflect point A over x - axis

The rule for reflecting a point $(x,y)$ over the $x$-axis is $(x, -y)$. Given point $A(-2,-2)$, after reflection over the $x$-axis, the new point $A'$ has coordinates $(-2,2)$.

Step2: Translate point A'

The translation vector is $\langle2,-3
angle$. The rule for translation is $(x,y)\to(x + 2,y-3)$. For point $A'(-2,2)$, we have $x=-2$ and $y = 2$. Then $x+2=-2 + 2=0$ and $y - 3=2-3=-1$.

Answer:

$(0,-1)$