What is the image of (-6,-4) after a dilation by a scale factor of 3 centered at the
origin?
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Question
What is the image of (-6,-4) after a dilation by a scale factor of 3 centered at the
origin?
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Answer:
The image of the point is (-18, -12)
Step-by-step explanation:
If the point (x, y) dilated by a scale factor k centered at the origin, then its image is (kx, ky)
Let us use this rule to solve the question
∵ The given point is (-6, -4)
∴ x = -6 and y = -4
∵ The scale factor of the dilation is 3
∴ k = 3
∵ The center of dilation is the origin
→ By using the rule above
∴ The image of the point = (-6 × 3, -4 × 3)
∴ The image of the point = (-18, -12)
∴ The image of the point is (-18, -12)