Question

1 jamarion bruce q1 - accelerated mathematics gr 8 | unit test 6. what is the image of the point (4, - 1) after a dilation with a scale factor of 3 centered at the origin? a. (3, - 12) b. (4, - 1) c. (12, - 3) d. (1.33, - 0.33)

Explanation:

Step1: Recall dilation formula

For a dilation centered at the origin with scale - factor \(k\), if the original point is \((x,y)\), the image point \((x',y')\) is given by \((x',y')=(kx,ky)\).

Step2: Identify values of \(x\), \(y\) and \(k\)

Here, \(x = 4\), \(y=-1\) and \(k = 3\).

Step3: Calculate the coordinates of the image point

\(x'=k\times x=3\times4 = 12\) and \(y'=k\times y=3\times(-1)=-3\). So the image point is \((12, - 3)\).

Answer:

C. \((12,-3)\)