Answer: a) y = f(x - 6)
b) y = f(x) - 2
<u>Step-by-step explanation:</u>
For transformations we use the following formula: y = a f(x - h) + k
- a = vertical stretch
- h = horizontal shift (positive = right, negative = left)
- k = vertical stretch (positive = up, negative = down)
a) f(x) has a vertex at (-1, 1)
M has a vertex at (5, 1)
The vertex shifted 6 units to the right → h = +6
Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)
b) f(x) has a vertex at (-1, 1)
N has a vertex at (-1, -1)
The vertex shifted down 2 units → k = -2
Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2
Answer:
if x=ky, where k is constant.
value of x
45/3=k3/3
15=k, constant is 15
value of x when y =6
x=ky
x=15(6)
x=80
Let's see what to do...
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Step (1)
Look : 16 , 10 , 4 , ...
It is an arithmetic sequence.
So first we have to find the value of the ratio(( d )) .
To do this, we need to subtract each sentence minus the previous sentence.
So we have : 10 - 16 = - 6
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Step (2)
To find the nth sentence in an arithmetic sequence, we must use the following equation :

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Step (3)
To find the 6th term just need to put the following parameters in the above sequence.
t(1) = 16 ------ n = 6 ------ d = -6





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And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
4 3/4
Step-by-step explanation: