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Fittoniya [83]
3 years ago
5

If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?

Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Answer:

Step-by-step explanation:

The standard form of a quadratic is

y=a(x-h)^2+k where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:

y=(x-(+10))^2 and simplified:

y=(x-10)^2  That is the parent graph shifted 10 units to the right.

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A parachutist's rate during a free fall reaches 165 feet per second. What is this rate in meters per second? At this rate, how m
Fiesta28 [93]
Assuming that:

1
m
=
3.3
f
t
1m=3.3ft

We can make the conversion from feet per second to meters per second with this procedure:

(
165

f
t
s
)
(
1

m
3.3

f
t
)
=
50

m
s
(165
s
ft
​
)(
3.3 ft
1 m
​
)=50
s
m
​

​
Let
x
x be the amount of meters the parachutist will fall during 15 seconds of free fall

Having that in 1 second the parachutist falls 50 meters, we can calculate
x
x :

x
=
(
50

m
s
)
(
15

s
)
​
x=(50
s
m
​
)(15 s)​


x=750 m
​
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3 years ago
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