Answer:
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Step-by-step explanation:
Answer: Second option.
Step-by-step explanation:
Below are some transformations for a function f(x) :
1. If
, the function is shifted "k" units up.
2. If
, the function is shifted "k" units down.
3. If
, the function is shifted "k" units right.
4. If
, the function is shifted "k" units left.
The Cube root parent function is:
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
By definition, the graph of this function passes through the origin, as you can observe in the picture attached.
In this case, you need to analize the graph given in the exercise. You can see that the the graph of the function h(x) is like the parent function f(x), but shifted 2 units left.
Therefore, based on the transformations explained above, you can determine that the equation of the function h(x) is the following:
![h(x)=f(x+2)\\\\h(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=h%28x%29%3Df%28x%2B2%29%5C%5C%5C%5Ch%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)

Step-by-step explanation:
The line will have the same slope as the given line, which is m = 3. Therefore, the equation of the line in its slope-intercept form is

Next we need to solve for b by plugging in the coordinates of the given point:

So the equation of the line is

I believe it's A. Sometimes you have to take an educated guess.