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2 years ago

Find the vertex of parabola y=-2x^2-20x-48

Mathematics

2 answers:

enyata [817]2 years ago

6 0

(-5,2) Is the answer hope this helps mate =)

Volgvan2 years ago

3 0

The right answer is (-5,2)

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Which function represents the graph of h(x)=2|x+3|−1 after it is translated 2 units right?

harina [27]

$\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}$

$\bf ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}$

$\bf ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}$

now with that template in mind

$\bf h(x)=\stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{3}|\stackrel{D}{-1}\qquad \qquad \stackrel{\textit{C=C-2 a translation to the right}}{h(x)=2|x\boxed{+3-2}|-1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill h(x)=2|x+1|-1~\hfill$

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3 years ago

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Aleksandr-060686 [28]

Answer: 97

Step-by-step explanation: The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (sequence) just if you need all the primes

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2 years ago

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M to millimetres is 3 steps. m > dm > cm > mm. since it is 3 steps down, the comma goes 3 places left. 4 > 0,4 > 0,04 > 0,004. so 4 m is equal to 0,004 mm

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2 years ago

2 divided by 1 and 6/7

ale4655 [162]

This problem, as written, requires a bit of guessing regarding your intentions. My interpretation is that you want to do this division:

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1 6/7

If that's correct, here's what to do: rewrite 1 6/7 as 13/7 (an improper fraction).

Then divide:

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13/7

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2 years ago

What is the reflection image?

VikaD [51]

Graph C is the reflected image of triangle P

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