Tables of Ratios: Mastery Test

Write and equation for the shift of the parent graph y=1/x

SashulF [63]

You can think of this equation as $\bf f(x)=\cfrac{1}{x}\implies f(x)=(x)^{-1}$

and thus apply the transformations to it as such

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

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\$

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

1) D = 2, C = +3

2) D = -12, C = -2

3) C = +6, D = 3

4) C = -7, D = -7

7 0

3 years ago

Evaluate the expression on the picture below

PIT_PIT [208]

Answer:

Is it like this?

-7(7-7)=

-7(0)=

0

6 0

3 years ago

Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3

vfiekz [6]

3(2x - 1) > = 4(2x - 3) - 3
6x - 3 > = 8x - 12 - 3
6x - 3 > = 8x - 15
6x - 8x > = -15 + 3
-2x > = -12
x < = -12/-2
x < = 6

the incorrect one is : A number line with a closed circle on 6, shading to the right

3 0

3 years ago

Read 2 more answers

Can i get some help doing this plz

KATRIN_1 [288]

Answer:

The upper bound for the perimeter of the rectangle = 427.76 cm

Step-by-step explanation:

To obtain the upper bound for the perimeter, we need to first obtain the upper bound for the Length and Breadth of the rectangle.

Since, these dimensions were rounded to the nearest 1 decimal place, we can write down their ranges

Length = 127.3 cm

Width = 86.5 cm

Length can range from 127.25 cm to 127.34 cm

Breadth can range from 86.45 cm to 86.54 cm

The upper bound for the Length and Breadth of the rectangle are this 127.34 cm and 86.54 cm respectively.

Perimeter = 2 (L + B)

Upper bound of the perimeter

= 2 × (127.34 + 86.54)

= 2 × 213.88

= 427.76 cm

Hope this Helps!!!

5 0

3 years ago

Stephanie wants to buy 's' tomato plants, and Diego wants to by 'd' tomato plants. Each plant costs $7. Stephanie will use a cou

Lady bird [3.3K]

→Answer:

T=7s + 7d -25

→Step-by-step explanation:

<u><em>→Given info</em></u>

Each tomato plants cost $7

$25 off coupon

Stepanie ‘s’

Diego ‘d’

Total is ’T’

____________________________________________________________

So if the total is T, thefore the equation starts with T=.

So T=7s + 7d -25.

____________________I do hope this helps!________________________

________________Brainliest is always appreciated!__________________

3 0

4 years ago