What is the equation for g(x)?

Mathematics

1 answer:

Lady_Fox [76]3 years ago

4 0

To translate an equation/function down in the vertical direction, you subtract the distance translated down.

Since the equation $f(x)=4x^{2}+6$ is being translated 4 units down, subtract 4 from $f(x)$ to get:
$g(x) =4x^{2}+6-4\\g(x)=4x^{2}+2$

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PLEASE HELP!

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Information Given:
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ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

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Since it is a parallelogram:
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ON = LM and
MN = OL

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ON = LM:
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7x - 9 = 6x + 4

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Subtract 6x from both sides:
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x - 9 = 4

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Add 9 to both sides:
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x = 13

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MN = OL:
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x - 7 = 2y - 7

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Sub x = 13:
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13 - 7 = 2y - 7

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Simplify:
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6 = 2y - 7

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Add 7 on both sides:
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13 = 2y

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Divide by 2:
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y = 13/2

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Answer: x = 13, y = 13/2 (Answer D)
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