Answer:
f(x) = g(x) + 3
Step-by-step explanation:
Consider the y - intercept of f(x) and g(x)
g(x) has y- intercept (0, - 2)
f(x) has y- intercept (0, 1)
That is the y-intercept of f(x) is 3 units vertically up from the y- intercept of g(x)
Note that any point on f(x) is 3 units vertically up from the corresponding point on g(x)
A vertical translation is expressed as
f(x) = g(x) + 3
216 raised to the power 1/3 can also be written as cube root of 216.
Changing the given expression to radical form, we can write:
![(216)^{ \frac{1}{3} } \\ \\ = \sqrt[3]{216}](https://tex.z-dn.net/?f=%28216%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Csqrt%5B3%5D%7B216%7D%20)
216 is the cube of 6 i.e. multiply 6 three times (6 x 6 x 6), you will get 216.
So we can write the above expression as:
![\sqrt[3]{(6)^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%286%29%5E%7B3%7D%20%7D%20)
The cube root and cube cancel out each other, leaving the answer equal to 6.
So, the correct answer is option B
I don’t know but good luck