# Differentiate y=x^2+bx+c, and hence find b and c if: the parabola has y-intercept and has gradient -2 there?

##### 1 Answer

Jun 4, 2018

# b = -2 #

There is insufficient information to find

#### Explanation:

We have a Parabola with equation

Differentiating wrt

# y' = 2x+b #

The tangent has gradient

# y'(0) = -2 => 2(0)+b = -2 => b = -2 #

Thus we can write the equation:

# y = x^2 - 2x + c #

There is insufficient information to find