The parent function moves 4 units right and 3 units down. This is a translation by the vector.
According to the question,
Transformation ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
maps onto ![\sqrt[3]{x+4} -3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D%20-3)
. Take f(x) = and f(x+4)=![\sqrt[3]{x+4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D)
.
f(x) =
f(x+4)=
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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3 = 4 - 4^0 * 4/4
4 = 4^0 + 4^0 + 4^0 + 4^0
5 = 4^2 / (4^0 * 4) + 4^0
6 = 4^2 / 4 + 4^0 + 4^0
Option B: 
is the value of y
Explanation:
It is given that "Two times x is 8 more than y". Writing it as expression, we have,
It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,
To find the value of y, let us solve the two equations using substitution method.
From the equation , let us find the value of x.
Now, substituting in the equation , we get,
Thus, the value of y is
B+ 11/3= -2
⇒ b= -2 -11/3
⇒ b= -6/3 -11/3
⇒ b= -17/3
⇒ b= -5 2/3
Final answer: b= -5 2/3~
