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  • 26-04-2019
  • Mathematics
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Which of the following graphs shows the preimage P(x)=2x−4 and the image I(x)=P(−x)?

Which of the following graphs shows the preimage Px2x4 and the image IxPx class=
Which of the following graphs shows the preimage Px2x4 and the image IxPx class=
Which of the following graphs shows the preimage Px2x4 and the image IxPx class=
Which of the following graphs shows the preimage Px2x4 and the image IxPx class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 05-05-2019

ANSWER

See attachment

EXPLANATION

The equation of the preimage is

P(x)=2x−4

This equation has a positive slope so it will move up from left to right

It has y-intercept -4.

The image is I(x)=P(−x)=-2x-4

This equation has a negative slope so it will move down from left to right.

This also has the same y-intercept -4.

Hence the two lines will intersect at the y-intercept (0,-4).

The first option is correct.

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