Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if p = (-3,4), find: r_y-axis (p) (?, )

Question

if p = (-3,4), find:
r_y-axis (p)
(?, )

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Apply the rule to point \(P = (-3,4)\)

For the point \(P=(-3,4)\), where \(x=-3\) and \(y = 4\). When we reflect over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So the new \(x\) - coordinate is \(-(-3)=3\) and the \(y\) - coordinate remains \(4\).

Answer:

\((3,4)\)