Answer:
f(x) = one eighth (x − 3)2 − 3
or C is your answer.
Answer:


Step-by-step explanation:
Given
![\sqrt[3]{x^{10}} = a^3 * \sqrt b](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D%20%3D%20a%5E3%20%2A%20%5Csqrt%20b)

Required
Find a and b
We have:
![\sqrt[3]{x^{10}} = a^3 * \sqrt b](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D%20%3D%20a%5E3%20%2A%20%5Csqrt%20b)
Substitute -2 for x
![\sqrt[3]{(-2)^{10}} = a^3 * \sqrt b](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28-2%29%5E%7B10%7D%7D%20%3D%20a%5E3%20%2A%20%5Csqrt%20b)
![\sqrt[3]{1024} = a^3 * \sqrt b](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1024%7D%20%3D%20a%5E3%20%2A%20%5Csqrt%20b)
Expand
![\sqrt[3]{2^9 * 2} = a^3 * \sqrt b](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%5E9%20%2A%202%7D%20%3D%20a%5E3%20%2A%20%5Csqrt%20b)
Split the exponents


By comparison:

So;

and

Take square roots of both sides

Answer:
k = 5
Step-by-step explanation:
Calculate the slope m and then equate to 2
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (k, 3) and (x₂, y₂ ) = (6, k)
m =
= 2 ( cross- multiply )
2(6 - k) = k - 3
12 - 2k = k - 3 ( subtract k from both sides )
12 - 3k = - 3 ( subtract 12 from both sides )
- 3k = - 15 ( divide both sides by - 3 )
k = 5