Question

7 what is the image of a(-4, 9) when it is reflected in the y-axis? (25 points)
○ (-9, -4)
○ (9, 4)
○ (4, 9)
○ (-4, -9)

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 \(A(-4,9)\)

For the point \(A(-4,9)\), where \(x = - 4\) and \(y=9\). When we apply the reflection rule over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So, the new \(x\) - coordinate is \(-(-4)=4\) and the \(y\) - coordinate remains \(9\). So the image of \(A(-4,9)\) after reflection over the \(y\) - axis is \((4,9)\).

Answer:

\((4,9)\) (corresponding to the option " \((4,9)\)")