Question

reflections find the coordinates
the point n(-4,4) is reflected over the x-axis. what are the coordinates of the resulting point, n?
graph of coordinate plane with point n plotted
options:
n(4, -4)
n(-4, 4)
n(4, 4)
n(-4, -4)

Explanation:

Step1: Recall reflection over x - axis rule

When a point \((x,y)\) is reflected over the \(x\) - axis, the \(x\) - coordinate remains the same and the \(y\) - coordinate changes its sign. The formula for the reflection of a point \((x,y)\) over the \(x\) - axis is \((x,-y)\).

Step2: Apply the rule to point \(N(-4,4)\)

For the point \(N(-4,4)\), where \(x=-4\) and \(y = 4\). After reflecting over the \(x\) - axis, the \(x\) - coordinate will still be \(-4\) and the \(y\) - coordinate will be \(-4\) (since we change the sign of \(y\)). So the coordinates of \(N'\) are \((-4,-4)\).

Answer:

\(N'(-4, - 4)\) (the option with \(N'(-4,-4)\))