Parabola Graph in Intercept Form $y=a(x-b)(x-c)$

$$y=a(x-b)(x-c)$$ Concave up for $a \gt 0$
intercept form concave up Concave down for $a \lt 0$
intercept form concave down

Example 1

Draw the graph of $y=(x-1)(x+2)$.

Example 2

Draw the graph of $y=(x+1)(x-2)$.

Example 3

Draw the graph of $y=(x-1)(x-2)$.

Example 4

Draw the graph of $y=(x+1)(x+2)$.

Example 5

Draw the graph of $y=-(x-1)(x+2)$.

Example 6

Draw the graph of $y=-(x+1)(x-2)$.

Example 7

Draw the graph of $y=-(x-1)(x-2)$.

Example 8

Draw the graph of $y=-(x+1)(x+2)$.

Related YouTube video lesson: Parabola Equation