Warm up Graph completely (with all parts from worksheet), x- and y- intercepts (& roots)

2 4 6y x x

Homework Questions?

View Answer Key

Quiz Questions?

Roots can look like…

Now its your turn to draw a parabola that describes each type of roots:1.Sketch a parabola with 2 real roots2.Sketch a parabola with one double root3.Sketch a parabola with no real roots

RECAP OF ROOTS

2 Roots Crosses x-axis twice Vertex is below and opens

up Vertex is above and opens

down Whole Numbers

Answer: (x,0) and (x,0) Between 2 Numbers

Answer: # < x < # # < x <

#

1 Root Vertex is on the x-axis Answer is vertex!

(x,0) No Roots

Does not cross x-axis Vertex is above and

opens up Vertex is below and

opens down Answer: None

X-intercepts

X-intercepts are also called…Roots!

Integral Roots:In between two integers on the x axis

( ,0)( ,0) { }x x or roots

Recap…

What is the y-intercept?....

State the y-intercept:

(0, )c

2 4 6y x x 22 9 3y x x

2 10 25y x x

(0,6)(0, 3)(0,25)

Let’s play…

Check it.. 1,2,1,2!!

1. Label a, b, and c. Does the parabola open up or down? Max or min?

2. Solve for the axis of symmetry3. Solve for the vertex4. Graph the parabola (use magic ordered pairs)5. Label the roots and y intercept of the parabola.

Homework

Pg. 625 #22, 26, 27, 28, 31

Speaker and ScribeDirections: Factor completely or write prime if not factorable.

2 7 12x x ( 3)( 4)x x

2 14 40m m ( 10)( 4)m m

2 3 180x x ( 15)( 12)x x

Speaker and ScribeDirections: Factor completely or write prime if not factorable.

22 21x x (2 7)( 3)x x

27 22 3a a (7 1)( 3)a a

22 5 12x x ( 4)(2 3)x x

Speaker and ScribeDirections: Factor completely or write prime if not factorable.

24 4 35n n (2 5)(2 7)n n

212 11 3r r Pr ime

22 26 72y y 2( 9)( 4)y y

Speaker and ScribeDirections: Factor completely or write prime if not factorable.

3 24 12 24x x x 24 ( 3 6)x x x

2 24 36 81y yz z 2(2 9 )y z

2 3 675 60b c bc 3 315 (5 4 )bc b c

Speaker and ScribeMultiply the factors (review of Chapter 9)

(6 5)( 2)x x 26 7 10x x

(4 1)(2 7)x x 28 30 7x x

(4 3)(5 4)x x 220 31 12x x

Math Lab Warm up: Simplify213 1

2x x

1x

4x

1

2x

2x

If you finish homework..

Either graph (with paper) or solve using quad. Formula: Depending on what you’ve learned so far

2 4 3 0x x

2 2 5 0x x

22 3 0x

23 4 0x

2 2 0x x 24 8 5 0x