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4 years ago

How would you solve this ?

Mathematics

1 answer:

Sati [7]4 years ago

7 0

Check the picture below.

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The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)^2 + k

stepan [7]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

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

with that template in mind, let's see, it went to the right 2 units, and then up 3 units.

that simply means, C = -2, D = 3.

8 0

3 years ago

The area of a rectangle is 14 square units it has side lengths a and b

Travka [436]

The sides could be 1,14 or 2,7

5 0

3 years ago

What is the slope of the line?

Hunter-Best [27]

Answer:

<h3>☘ QUESTION☘</h3>

What is the slope of the line?

-3x+5y=2x+3y

<h3>☘ ANSWER☘</h3>

-3x+5y=2x+3y → 2y = 5x → y = (5/2)x.

There are infinitely many ordered pairs that satisfy -3x+5y=2x+3y.

<h3>Answer: C.5/2</h3>

Step-by-step explanation:

✨ BRAINLY FAST ✨

✨BY#NICHOLE✨

7 0

2 years ago

8 – (x + 4) = 2<br> determine the value of x in the equation below

Bess [88]

Answer:

8 -1(x+4)=2

8-x-4=2

x= 2+4-8

x=-2

4 0

3 years ago

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6(1 − 3d) < 2(7d + 6

vagabundo [1.1K]

Answer:

d> -3/16

Step-by-step explanation:

8 0

3 years ago

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