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geniusboy [140]
3 years ago
6

Describe how the graph of g(x)=x-6 can be obtained from one of the basic graphs. Then graph the function.

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0
Parent function:
units downwards
y =x ; shift 6
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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%7D%20%2B%2012%20%3D%20x%20%2B%208%20" id="TexFormula1" title=" \sqrt{2x} + 12
Helga [31]
First note that x\ge0; otherwise \sqrt{2x} is undefined as long as we're only looking for real solutions.

We can write

\sqrt{2x}+12=x+8
\sqrt{2x}=x-4
2x=(x-4)^2
2x=x^2-8x+16
x^2-10x+16=0
(x-8)(x-2)=0

\implies x=8,x=2
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