SOLUTION: Find the equation of the normal to the curve y = –x^2 + 4x at:
x=-2
Algebra.Com
Question 1053129: Find the equation of the normal to the curve y = –x^2 + 4x at:
x=-2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Find the value of the first derivative of the function at 
:
\ +\ 4 =\ 8)
And the value of the function at -2:
\ =\ -(-2)^2\ +\ 4(-2)\ =\ -12)
So the normal to the curve at -2 has a slope of 
and passes through the point )
Using the Point-Slope form:
)
.
You can put it in whatever form you like or whatever form your instructor requires.
John
My calculator said it, I believe it, that settles it
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