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3 years ago

Will The function g(x) = 3(x - 3)^2 + 2 will translate 2 units down

Mathematics

2 answers:

kolezko [41]3 years ago

7 0

3(x-3)∧2+2=3(x-3)∧2 i guess it doesnt hurt to get more points lol

Arturiano [62]3 years ago

3 0

This will give a function 2 less than g(x):-

= 3(x - 3)^2

yes it will go 2 units down

in other words 3(x - 3)^2 + 2 - 2 = 3(x - 3)^2

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olchik [2.2K]

Answer:

Step-by-step explanation:

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3 years ago

A+b/c=d/4 solve for a

RUDIKE [14]

Answer:

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3 years ago

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3 years ago

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3 years ago

If a cannonball is shot directly upward with a velocity of 160 ft per second, its height above the ground after t seconds is gi

Contact [7]

Step-by-step explanation:

If a cannonball is shot directly upward with a velocity of 160 ft per second. Its height as a function of time is given by :

$h(t)=160t-16t^2$ .......(1)

t is in seconds

(a) Velocity is given by :

$v=\dfrac{dh}{dt}\\\\v=\dfrac{d(160t-16t^2)}{dt}\\\\v=(160-32t)\ ft/s$

Acceleration is given by :

$a=\dfrac{dv}{dt}\\\\a=\dfrac{d(160-32t)}{dt}\\\\a=-32\ ft/s^2$

(b) For maximum height put $\dfrac{dh}{dt}=0$

i.e.

$160-32t=0\\\\t=5\ s$

Put t = 5 s in equation (1). So,

$h(5)=160t-16t^2\\\\h(5)=160(5)-16(5)^2\\\\h(5)=400\ ft$

h(t) = 0

$160t-16t^2=0\\\\t(160-16t)=0\\\\t=0,t=10\ s$

Hence, this is the required solution.

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3 years ago