You need to sketch the graph of this equation:
\[y={x}^{2}-4x+3\]
How many roots does it have? If there are roots what are they?
No real roots
One real root at (0,3)
Two real roots at (1,0) and (3,0)
What is the turning point and its nature?
Minimum turning point at (2,-1)
Maximum turning point at (2,7)
Minimum turning point at (-1,2)
Where is the y-intercept?
(3,0)
(0,3)
(0,-1)
\[y=2{x}^{2}-4x-16\]
Two real roots at (-2,0) and (4,0)
Two real roots at (-4,0) and (2,0)
Two real roots at (-4,0) and (4,0)
Minimum turning point at (1,-18)
Maximum turning point at (1,9)
Minimum turning point at (-1,9)
(0,-8)
(0,-16)
(0,-4)