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jasenka [17]
3 years ago
7

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

I(-1,0) \to I \ ' \ (-0.25,0)\\\\J(-1,1) \to J \ ' \ (-0.25,0.25)\\\\K(2,2) \to K \ ' \ (0.5, 0.5)\\\\L(2,-1) \to L \ ' \ (0.5,-0.25)\\\\

======================================================

Explanation:

The fraction 1/4 is equivalent to the decimal form 0.25

We multiply 0.25 with each coordinate, of each point.

For example, let's focus on point L which is at (2,-1)

  • x = 2 becomes x = 0.25*2 = 0.5
  • y = -1 becomes y = 0.25*(-1) = -0.25

Point L(2,-1) moves to L ' (0.5, -0.25) which will move it closer to the origin, which shrinks the image. Use this idea for the remaining points.

Note: this trick only works if the center of dilation is the origin.

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Answer:

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The equation of a line in slope- intercept form is

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m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

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Note the line crosses the y- axis at (0, - 4) ⇒ c = - 4

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Hope this helps!

:)

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