Question

a dilation has center (0,0) find the image of the point l(-6,0) for the scale factor 4
$d_4(l)=l$ (type an ordered pair simplify your answer )

Explanation:

Step1: Recall dilation rule

For a dilation with center \((0,0)\) and scale factor \(k\), the image of a point \((x,y)\) is \((kx,ky)\).

Step2: Apply the rule to point \(L(-6,0)\)

Here, \(x = -6\), \(y = 0\), and \(k = 4\). So, the \(x\)-coordinate of the image is \(4\times(-6)=-24\), and the \(y\)-coordinate is \(4\times0 = 0\).

Answer:

\((-24, 0)\)