Question

a dilation has center (0,0). find the image of the point l(-4,0) for the scale factor 7.
l (type an ordered pair. simplify your answer.)

Explanation:

Step1: Apply dilation formula

For a dilation with center \((0,0)\) and scale factor \(k\), the formula is \((x,y)\to(kx,ky)\). Here \(x = - 4\), \(y = 0\) and \(k = 7\).

Step2: Calculate new \(x\) - coordinate

Multiply the \(x\) - coordinate of point \(L\) by the scale factor: \(k\times x=7\times(-4)=-28\).

Step3: Calculate new \(y\) - coordinate

Multiply the \(y\) - coordinate of point \(L\) by the scale factor: \(k\times y = 7\times0=0\).

Answer:

\((-28,0)\)