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creativ13 [48]
3 years ago
9

What effect will replacing x with (x+7) have on the graph of the equation y=x^2?

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Solution:-

- The given question pertains to the translation of a function f ( x ) over the cartesian coordinate system.

- There are certain guidelines that must be followed when performing any translations of any function f ( x ).

<u>Translation Guideline</u>

  Vertical shifts

  • Up: f ( x ) - > f ( x ) + b
  • Down: f ( x ) - > f ( x ) - b

  Horizontal shifts

  • Left: f ( x ) - > f ( x + a )
  • Right: f ( x ) - > f ( x - a )

Where, " a " and " b " are constants for respective horizontal and vertical shifts.

- We can make a generalized form of the translated function f ( x ) to f* ( x ) as follows:

 Generalized shift: f ( x ) - > f ( x ± a ) ± b

 

Where,   a: Unit of horizontal shift

               b: Unit of vertical shift

- We are given a function f ( x ) defined. We are to replace the variable ( x ) with ( x + 7 ).

                          f ( x ) = x^2\\\\f^*(x) = f ( x + 7 ) = (x + 7 )^2

- Use the above given guidelines to determine the type of shift. Take a look at the Left shift in the horizontal shift section.

- Left shift : f ( x ) -> f ( x + a ) = f ( x + 7 )

Answer: The function f ( x ) is slided a = 7 units to the left!              

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Taylor Swift wants to find the distance, AB, across a river. She starts at point B and walks along the edge of the river 94 ft a
ad-work [718]

Answer:

A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.

B) 158.3ft

Step-by-step explanation:

A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.

B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)

I truly hope this helps! :)

8 0
3 years ago
Claire is going to an amusement park. The price of admission into the park is $30, and once she is inside the park, she will hav
nydimaria [60]

Answer:

1. $66

2. 30 + 4r

Step-by-step explanation:

Let

Price of admission into the park=$30

Price of every ride in the park=$4

Number of rides =x

Total cost of going to the park= 30+4x

1. How much money would Claire have to pay in total if she goes on 9 rides

Total cost of going to the park= 30+4x

When x=9

=30+4x

= 30 + 4(9)

=30 + 36

=$66

2. How much would she have to pay if she goes on r rides?

When x=r

Total cost of going to the park= 30+4x

= 30 + 4(r)

=30 + 4r

4 0
3 years ago
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7 0
3 years ago
Read 2 more answers
The length of a rectangle is 5.2cm and its breadth is 3.4cm. What is the area of the rectangle?
Rainbow [258]

Answer:

\huge{ \boxed{ \sf{17.68 \:  {cm}^{2} }}}

Step-by-step explanation:

\underline{ \text{Given}} :

\longrightarrow \sf{ \: Length \: of \: a \: rectangle \:  =  \: 5.2 \: cm}

\longrightarrow{ \sf{Breadth \: of \:  \: rectangle \:  =  \: 3.4 \: cm}}

\underline{ \text{To \: find} } :   \sf{Area \: of \: a \: rectangle}

\boxed{ \sf{Area \: of \: a \: rectangle \:  =  \: Length \:  \times  \: Breadth}}

\mapsto{ \sf{Area \:  =  \: 5.2 \: cm \:  \times  \: 3.4 \: cm}}

\mapsto{ \sf{Area \:  =  \: 17.68 \:  {cm}^{2} }}

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

5 0
3 years ago
Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d
iogann1982 [59]
<span>Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

Solution:

Since  it has to be between -13 and 89, letter d and b are not anymore considered to be the answer.

for a:
33-(-13)=46=d
43-33=10=d the value for this d is different from the two sequence,
89-43=46=d
they have different value for d, thus this is not the answer!

for c:
21-(-13)=34=d
55-21=34=d
89-55=34=d

they have the same value for d, thus the correct answer is </span><span> c. -13, 21, 55, 89</span>
8 0
3 years ago
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