Discriminant
Ladder
Maze
Cross the:
If:
Yellow Ladder - No real roots
Blue Ladder
- 1 real root
Name
- 2 real irrational Use the discriminant,
roots
or given information to
Purple Ladder - 2 real rational
roots
find the nature of the
Red Ladder
Wrong Way
roots.
Start
y
𝒙𝒙𝟐𝟐 + 𝟒𝟒𝒙𝒙 − 𝟕𝟕 = 𝟎𝟎
Vertex is
(3,5)
a>0
x
x
Parabola
does not
cross the
x – axis.
Vertex is
(0,2)
a>0
y
x
x
Discriminant
= 65
a>0
Discriminant
<0
Parabola has
one
x-intercept.
That’s
all
Folks!
©2018Calculus4u.com
Cross the:
Yellow Ladder
Blue Ladder
If:
- No real roots
- 1 real root
- 2 real irrational
roots
rational
Purple Ladder - 2 real
roots
Red Ladder
Key
Wrong Way
Start
Discriminant
= 44
Discriminant
= 16
Parabola does
not cross the
x-axis. No real
roots.
Parabola does
not cross the
x -axis. No real
roots.
Discriminant
= 64
Discriminant
= 0
Discriminant
= 65
Parabola crosses
the x-axis twice.
2 real rational
roots.
Discriminant
=0
Discriminant
= -72
No real roots
Parabola
touches the
x-axis once.
One real root.
One xintercept,
therefore, 1
real root.
Discriminant
Is negative,
therefore, no
real roots.
That’s
all
Folks!
©2018Calculus4u.com
Show your work !
Name
1.
2.
4.
5.
6.
7.
8.
9.
3.
©2018Calculus4u.com
Show your work !
Name
10.
11.
12.
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14.
15.
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