Answer:

Step-by-step explanation:
Given

Solving (a): The possible coordinates
We have:

This gives:



<em>(-2,8) is a point on the grid</em>

This gives:



<em>(7,5) is a point on the grid</em>

This gives:



<em>(-5,5) is a not point on the grid</em>
<em></em>

This gives:



<em>(1,3) is a not point on the grid</em>

This gives:



(1,7) is a point on the grid
So, we plot the following on the grid

See attachment
Option B:
is the new equation
Explanation:
The given equation is ![$y=-\sqrt[3]{x}$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx%7D%24)
We need to find the new graph which is shifted 7 units up and 4 units right.
First, we shall shift the graph 7 units up.
The general formula to shift the graph b units up is given by

Thus, to shift the graph 7 units up, let us substitute
and
in the general formula, we have,
![y=$-\sqrt[3]{x}$+7](https://tex.z-dn.net/?f=y%3D%24-%5Csqrt%5B3%5D%7Bx%7D%24%2B7)
Now, we shall shift the graph 4 units right.
The general formula to shift the graph b units right is given by

Thus, to shift the graph 4 units right, let us substitute
and
in the above equation, we have,
![$y=-\sqrt[3]{x-4}+7$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx-4%7D%2B7%24)
Therefore, the new equation is ![$y=-\sqrt[3]{x-4}+7$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx-4%7D%2B7%24)
Therefore, Option B is the correct answer.
In this problem, you combine the like terms...
4a - 3b + 7a
4a and 7a are like terms so you add them together.
4a + 7a = 11a
So, the answer is: 11a - 3b
F(x) = k*x^2
You can find k using only the first point.
28 = k*2^2
7 = k
The constant of variation is 7.