Question

if the triangle is reflected across the y - axis, what are the coordinates of the image of point p?
a. (-5,1)

b. (-1,-5)

c. (-1,5)

d. (1,-5)

e. (5,1)

Explanation:

Step1: Identify original coordinates of \(P\)

From the graph, point \(P\) has coordinates \((5,1)\) (since it is 5 units right on the \(x\)-axis and 1 unit up on the \(y\)-axis).

Step2: Apply reflection over \(y\)-axis rule

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

Step3: Calculate reflected coordinates

For \(P(5,1)\), applying the rule: \(x = 5\) becomes \(-5\), \(y = 1\) remains \(1\). So the reflected point is \((-5,1)\).

Answer:

A. \((-5,1)\)