Question

triangle abc was transformed on a coordinate grid using the rule
$(x,y)\to(x,-y)$.
where is the location of point $c$?

Explanation:

Step1: Find the coordinates of point C

From the graph, the coordinates of point C are \((-1,-4)\).

Step2: Apply the transformation rule \((x,y)\to(x, - y)\)

For point \(C(-1,-4)\), when we apply the rule \((x,y)\to(x, - y)\), we substitute \(x=-1\) and \(y = - 4\) into the rule.
The \(x\)-coordinate remains \(x=-1\), and the new \(y\)-coordinate is \(-y=-(-4) = 4\).

Answer:

The location of point \(C'\) is \((-1,4)\)