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Law Incorporation [45]
3 years ago
11

The function f(x) = 2x is translated left 3 units and down 2 units. Which is the equation of the translated function?

Mathematics
2 answers:
Grace [21]3 years ago
7 0

Answer:

g(x) = 2(x+3) - 2

Step-by-step explanation:

At first we should know the rules of translation

1) {f(x) + a} is f(x) shifted up (a) units

2) {f(x) – a} is f(x) shifted down (a) units

3) {f(x + a)} is f(x) shifted left (a) units.

4) {f(x – a)} is f(x) shifted right a units.

So, The function f(x) = 2x is translated left 3 units and down 2 units

Applying the rules (2) and (3)

∴f(x) ⇒ f(x+3) -2 = 2(x+3) - 2

∴ g(x) = 2(x+3) - 2

docker41 [41]3 years ago
6 0

Answer:

g(x) = 2x + 3 – 2

Step-by-step explanation:

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Degger [83]

Answer:

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5 0
3 years ago
A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car d
Tasya [4]

Answer:

Therefore the car takes 2 s to reach a minimum height from the ground before rising again.

Step-by-step explanation:

Given that a roller coaster ride reach a height of 80 feet.

The height above the ground of the roller coaster is modeled by the function

h(t)=10t²-40t+80

where t is measured in second.

h(t)=10t²-40t+80

Differentiating with respect to t

h'(t)= 10(2t)-40

⇒h'(t)=20t-40

To find the minimum height we set h'(t)=0

∴20t-40=0

⇒20t =40

⇒t=2

The height of the roller coaster minimum when t=2 s.

The minimum height of of the roller coaster is

h(2)= 10(2)²-40.2+80

     =40-80+80

     =40 feet.

Therefore the car takes 2 s to reach a minimum height from the ground before rising again.

8 0
3 years ago
How do I convert 8.41 g/mL to Kg/L
Vlad1618 [11]
Milli(m) = 1/10^3 = 0.001
kilo(k) = 10^3 = 1000
 8.41 * g/ml
= 8.41 g/mL / 1000 mL
= 0.00841 g/L
g = 10^3 * (1/10^3) * g
= (1/10^3) * kg
0.00841 g/L / 1000 g
= 0.00000841 kg/L
7 0
4 years ago
❤️❤️not sure about this
garik1379 [7]
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6 0
3 years ago
Given the standard form of the equation,solve for y, What is y if x=4?
erik [133]
Well, I'm not sure since you didn't post the equation but, all you have to do is plug in the number 4 where x is. So for example, say the equation given to you was y=6x+5. Just plug in 4 for x and you get y=6(4)+5, which is y=29. 
8 0
3 years ago
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