Question

question
what is the image of (0,8) after a dilation by a scale factor of \\(\frac{1}{4}\\) centered at the origin?
answer attempt 1 out of 2
(\square,\square)
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Explanation:

Step1: Recall dilation formula

For a dilation centered at the origin with scale factor \( k \), the image of a point \( (x, y) \) is \( (kx, ky) \). Here, \( (x, y)=(0, 8) \) and \( k = \frac{1}{4} \).

Step2: Apply the formula to x - coordinate

The x - coordinate of the original point is \( 0 \). Multiply by the scale factor: \( 0\times\frac{1}{4}=0 \).

Step3: Apply the formula to y - coordinate

The y - coordinate of the original point is \( 8 \). Multiply by the scale factor: \( 8\times\frac{1}{4} = 2 \).

Answer:

\((0, 2)\)