Question

question
what is the image of (5, -4) after a dilation by a scale factor of 3 centered at the origin?
answer attempt 1 out of 2
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Explanation:

Step1: Recall dilation rule

To find the image of a point \((x,y)\) after a dilation with scale factor \(k\) centered at the origin, we multiply each coordinate by \(k\). The formula is \((x,y)\to(kx,ky)\).

Step2: Apply the rule to the point \((5, - 4)\)

Here, \(x = 5\), \(y=-4\) and \(k = 3\).
For the \(x\)-coordinate: \(k\times x=3\times5 = 15\)
For the \(y\)-coordinate: \(k\times y=3\times(-4)=- 12\)

Answer:

\((15,-12)\)