**1. What is the gradient of the bottom point of a parabola?**

The tangent drawn at the base point of a parabola would be horizontal and therefore its gradient is 0.

**2. Is the gradient function of a parabola always a straight line?**

Yes. Because the exponent of a parabola is two, its derived or gradient function always has an exponent of one.

i.e. A linear function.

**3. What is the gradient function of a linear function?**

The gradient function of a linear function will be f(x) = c, where c is a constant.

This is because the gradient of a straight line is constant.e.g. For the function y = 2x + 3, the gradient function is f(x) = 2.

**4. What is the gradient function of a vertical line?**

The gradient function of a vertical line does not exist because the gradient of a vertical line in undefined.

It is not possible to differentiate an equation of the form x = c.