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What is the image of (-1,9) after a dilation by a scale factor of 2 centered at the origin?


Sagot :

Answer:

[tex]A' = (-2,18)[/tex]

Step-by-step explanation:

Given

[tex]A = (-1,9)[/tex]

[tex]k = 2[/tex]

Required

The image

Let the point be called A, such that the image is A'.

A' is calculated as:

[tex]A' = k * A[/tex]

This gives:

[tex]A' = 2 * (-1,9)[/tex]

[tex]A' = (-2,18)[/tex]