Question

transformation quiz review
due: september 14 at 11:59 pm
grade: 32%
problem: reflection over an axis (kaleidoscope)
click on the graph to plot a point. click a point to delete it.
coordinates of r:
coordinates of r:
when a point is reflected over the y - axis, the... changes sign.
deltamath

Explanation:

Step1: Identify coordinates of R

From the graph, point R is at \((-1, 3)\) (assuming standard coordinate system: x - axis horizontal, y - axis vertical, origin at center).

Step2: Apply reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the y - axis is \((x,y)\to(-x,y)\). For point \(R(-1,3)\), applying the rule: \(x=-1\), so \(-x = -(-1)=1\), \(y = 3\) remains. So the coordinates of \(R'\) (reflected point) are \((1,3)\).

Answer:

Coordinates of \(R\): \((-1, 3)\)
Coordinates of \(R'\): \((1, 3)\)