It will move but won't change shape or size.
First find the slope, take derivative of both sides with respect to x.
2y dy/dx=3x^2+6x
solve for dy/dx
dy/dx=[3x^2+6x]/2y
plug in given vales of (1,2(
dy/dx=9/4
now you have everything you need to plug into point slope form
y-2=(9/4)(x-1)
answer is y=(9/4)x+(1/4)
Answer:
A) -30
Step-by-step explanation:

---------------------------------------------------------------------
Divide by 2/3 on both sides :
---------------------------------------------------------------------

---------------------------------------------------------------------
Change the divide fraction to multiplication fraction :
---------------------------------------------------------------------

---------------------------------------------------------------------
Simplify :
---------------------------------------------------------------------

---------------------------------------------------------------------
Square root both sides :
---------------------------------------------------------------------

---------------------------------------------------------------------
Answer :
---------------------------------------------------------------------

---------------------------------------------------------------------
Answer: The smallest possible value of x is -6---------------------------------------------------------------------