Question

what are the coordinates of point b? (1 point) if point b was translated by the rule (x,y)→(x - 6,y) what would the coordinate of b be? (1 point) if b is reflected over the x - axis, what would the coordinate of b be? (1 point) check answers check answers

Explanation:

Step1: Determine coordinates of point B

From the graph, point B is at (-3, -2).

Step2: Find coordinates of B' after translation

The translation rule is $(x,y)\to(x - 6,y)$. For point B(-3,-2), substitute $x=-3$ and $y = - 2$ into the rule. $x-6=-3 - 6=-9$ and $y=-2$. So the coordinates of B' are (-9,-2).

Step3: Find coordinates of B'' after reflection over x - axis

The rule for reflecting a point $(x,y)$ over the x - axis is $(x,y)\to(x,-y)$. For point B'(-9,-2), when we reflect it over the x - axis, $x=-9$ and $-y=-(-2) = 2$. So the coordinates of B'' are (-9,2).

Answer:

The coordinates of point B are (-3,-2), the coordinates of B' after translation are (-9,-2), the coordinates of B'' after reflection over the x - axis are (-9,2).