Question

How do you sketch `y=(x-3)(x+2)`?

Answer 1

Graph of the parabola is inserted.

Explanation:

y = quadratic in x or x = quadratic in y, the equation represents a

parabola.

The equation can be reorganized to the form

`(x-1/2)^2=y+25/4` that represents a parabola,

with vertex at `(1/2, -25/4)`, size a = 1/4 and axis `x = 1/2uarr.`

graph{y-(x-3)(x+2)=0 [-20, 20, -10, 10]}