Quadratic Graphs by Completing the Square $y=(x-a)^2+b$

$$y=(x-a)^2+b$$

Example 1

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

Example 2

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

Example 3

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

Example 4

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

Example 5

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

Example 6

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

Example 7

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

Example 8

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