The parent function moves 4 units right and 3 units down. This is a translation by the vector.
According to the question,
Transformation
maps onto
. Take f(x) =
and f(x+4)=
.
f(x) = ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
f(x+4)=![\sqrt[3]{x+4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D)
f(x+4) - 3=
- 3
Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.
Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.
Learn more about parent function here
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Answer:
2(8w + 1)
Step-by-step explanation:
Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.
2 appears on both sides of the plus sign.
2(16w/2 + 2/2)
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
(a) the interquartile range
Would be 72 - 88
the med would be 84
(b) I may be wrong but my guess would be
88% above all the seasons because the scale that was shown went to 100 and that would cause each win to be 1%. the bottom would have to equal out to 12% because that is what we would need to make it equal out to 100.
Hope this helps
Answer:
x/12
Step-by-step explanation: