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leonid [27]
3 years ago
10

On a coordinate plane, two parabolas open up. The solid-line parabola goes through (negative 3, 9), has a vertex at (negative 1,

5), and goes through (1, 9). The dashed-line parabola, labeled f of x = x squared, goes through (negative 3, 9), has a vertex at (0, 0), and goes through (3, 9).
What is the equation of the translated function?

f(x) = (x – 1)2 – 5
f(x) = (x + 1)2 + 5
f(x) = (x – 5)2 – 1
f(x) = (x + 5)2 + 1
Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer:

f(x) = (x + 1)2 + 5

Step-by-step explanation:

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When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7 ?
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<h2><u>Given </u><u>:</u><u>-</u></h2>

  • <u>\bf4 \: times \: a \: number \: x \: is \: added \: to \: 12 \\ \bf the \: result \: is \: 8</u> ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎
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\large\bf{\underline{To \:find\:the\:value\:of\:x}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x + 12 = 8

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x = 8 - 12

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x =  - 4

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‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x =  - 1

\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2x + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2( - 1) + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= - 2 + 7

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__________________________________________

\large\bf{\underline{Hence}}

\huge{2x + 7}

\huge{=5}

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