SOLUTION: Given that the gradient of a curve is 3x^2-4 and that the curve passes through (-1,6), determine the equation of the curve.
Algebra ->
Test
-> SOLUTION: Given that the gradient of a curve is 3x^2-4 and that the curve passes through (-1,6), determine the equation of the curve.
Log On
Question 1043071: Given that the gradient of a curve is 3x^2-4 and that the curve passes through (-1,6), determine the equation of the curve. Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! Gradient is just another word for the slope of a tangent to a curve on one of its points. Let y = f(x).
===> ===> for some undetermined coefficient c.
Since (-1, 6) is a point on the curve,
===> ===> 6 = -1+4+c ===> c = 3.
Therefore the equation of the curve is .
