Question

question
point q is located at (-6, -1) on the coordinate plane. point q is reflected over the x-axis to create point q. point q is then reflected over the y-axis to create point q. what ordered pair describes the location of q?
answer attempt 1 out of 2
q ( , )

Explanation:

Step1: Reflect over x - axis

To reflect a point \((x,y)\) over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\). Given \(Q=(-6,-1)\), when we reflect \(Q\) over the \(x\) - axis to get \(Q'\), we substitute \(x = - 6\) and \(y=-1\) into the rule. So \(Q'=(-6,1)\) (since \(-y=-(-1) = 1\)).

Step2: Reflect over y - axis

To reflect a point \((x,y)\) over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\). Now we take the point \(Q'=(-6,1)\) and reflect it over the \(y\) - axis to get \(Q''\). Substituting \(x=-6\) and \(y = 1\) into the rule, we get \(-x=-(-6)=6\) and \(y = 1\). So \(Q''=(6,1)\).

Answer:

\((6,1)\)