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sladkih [1.3K]
3 years ago
11

What is the affect on the graph of the linear parent function f(x) equals X when FX is replaced by FX +3

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

The graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

Step-by-step explanation:

We know that when we add a constant to the input of the parent function, we get a horizontal shift.

The direction of shifting depends upon the value of the added constantly. If the added constant is negative, the shift of the graph will be left and if the added constant is positive, the shift of the graph will be right.

For example, consider the function

f(x)

so adding 3 in the put i.e. f(x+3) would be a change on the inside of the function, giving a horizontal shift left by 3.

Therefore, the graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

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Select all equations that have two solutions. a x^2=16 b 4x^2=0 c x^2=-16 d 3x+2=14 e x^2-1=24 f (x+8)(x-8)=0
never [62]

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a )

{x}^{2}  = 16

x = ± \: 4

Two solutions.

_________________________________

b )

4 {x}^{2}  = 0

x = 0

One solution .

_________________________________

c )

{x}^{2}  =  - 16

No  \:  \: solution.

_________________________________

d )

3x + 2 = 14

x = 4

One solution.

_________________________________

e )

{x}^{2}  - 1 = 24

{x}^{2}  = 25

x =± \: 5

Two solutions.

_________________________________

f )

(x + 8)(x - 8) = 0

x =  - 8 \:  \: or \:  \: x = 8

Two solutions .

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5 0
3 years ago
A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? E
Triss [41]

Answer:

The volume of cylinder is:

49806.06 ft^3

Step-by-step explanation:

We are given a right circular cylinder with:

Height(h)=22\frac{1}{4}ft=\dfrac{89}{4}ft

and a diameter is 2\frac{2}{5} times it's height.

i.e. \dfrac{12}{5} times it height.

i.e. the diameter is given as:

\dfrac{12}{5}\times \dfrac{89}{4}=\dfrac{267}{5}ft.

We know that the radius of cylinder is half the diameter.

Hence, radius(r) of cylinder is:

\dfrac{1}{2}\times \dfrac{267}{5}\\\\=\dfrac{267}{10}

The volume(V) of cylinder is given by:

V=\pi r^2h

V=3.14\times (\dfrac{267}{10})^2\times \dfrac{89}{4}\\\\V=\dfrac{19922423.94}{400}\\\\V=49806.06ft^3

Hence, the volume of cylinder is:

49806.06 ft^3

7 0
3 years ago
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