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vladimir2022 [97]
3 years ago
10

Suppose f(x) =x^2. Find the graph of f(x+3)

Mathematics
1 answer:
ra1l [238]3 years ago
8 0
You must substitute x+3 for x, so x² becomes (x+3)².

You could work this out to be x²+6x+9 if that is asked.

The graph of (x+3)² is the graph of x² shifted to the left by 3.

If this seems counterintuitive, think of the value you must choose for x to make the outcome 0. It used to be 0²=0, but now it is -3 since (-3+3)²=0, so 3 positions to the left.
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Yuki888 [10]

Answer:

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Step-by-step explanation:

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3 years ago
State the converse<br><br> Please helps asap
Paladinen [302]

Answer: True

Step-by-step explanation:

If x2 = 49, then x = 7. True; x = 7 if and only if x^2 = 49.

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Nancy is making a kite based on the pattern below. About how much binding does Nancy need to cover the edges of the kite?
Ainat [17]

Check the picture below.

so the perimeter of the kite is x+x+y+y, namely 2x + 2y.


\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{15}\\ \end{cases} \\\\\\ x=\sqrt{8^2+15^2}\implies x=\sqrt{289}\implies \boxed{x=17} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{8}\\ b=\stackrel{opposite}{4}\\ \end{cases}\implies y=\sqrt{8^2+4^2}\implies y=\sqrt{80}\implies \boxed{y\approx 8.94} \\\\[-0.35em] ~\dotfill\\\\ 2x+2y\implies 2(17)+2(8.94)\implies 51.88\implies \stackrel{\textit{rounded up more}}{51.9}

4 0
4 years ago
Burger town sells cheeseburgers for $7.95 each plus the cost of a soda, s Which of the following equations best represents the c
Greeley [361]

Answer:

The equation woulds be

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6 0
3 years ago
Read 2 more answers
1.) There are f fish in an aquarium. One fourth of the fish are angelfish. How many are angelfish?
natali 33 [55]

Answer

1. f - 3/4

2. 62 + h

Step-by-step explanation:

1. 1/4 of the fish are angelfish, all fish are one whole, one whole - 3/4's = 1/4

2. we dont have the value of H so we in turn have to figure out the equation and 62 + h is the only answer we can come to

8 0
3 years ago
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