Sketch the following mathematical functions on the same set of axes, for values of x between 0 and 4. Use these curves to describe how the coefficients of x and x2 affect their shape.

(a) ˆy = 10 + 4x

(b) ˆy = 10 + 4x + x2

(c) ˆy = 10 + 4x − x2

(d) ˆy = 10 − 4x

(e) ˆy = 10 − 4x + x2

(f) ˆy = 10 − 4x − x2