1. April 8, 2013
Today:
Khan Academy Topics for the Week:
Solving Quadratics by Taking the Square Root
**Graphing Parabolas in Standard Form
Warm-Up (7)
Using Square Roots to Solve Quadratics

2. Warm-Up/Review:
1. Find the axis of symmetry, vertex, and graph the function

3. Warm-Up/Review:
2. Find the zeros of the function

4. Warm-Up/Review:

5. Write a Quadratic Equation Given Roots

6. Write a Quadratic Equation Given Roots
If all you had were the roots of a quadratic equation.
Could you write the equation that produced the roots?
The roots of a quadratic equation are -2 and 6. Write a
quadratic model with leading coefficient of 1.
Work backwards: start with your answer
x = -2 or x = 6 solutions/roots
x + 2 = 0 or x – 6 = 0 equation for roots
(x + 2)(x - 6) = 0 quadratic equation
x² - 6x + 2x – 12 = 0 distribute using FOIL
x² - 4x – 12 = 0 combine like terms
This is the quadratic equation with roots {-2, 6}

7. Write a Quadratic Equation Given Roots
The roots of a quadratic equation are 7 and - 1. Write a
quadratic model with leading coefficient of 1.
x=7 or x=-1 solutions/roots
x - 7 = 0 or x + 1 = 0 equation for roots
x² - 6x – 7 = 0 combine like terms

8. Write a Quadratic Equation Given Roots
A parabola crosses the y axis at -3 and 1.
a. Write a quadratic function with a leading
coefficient of 1. b. Graph the resulting parabola.
y2 + 2y - 3
Vertex is: -4,-1
Axis of Symmetry is: -4,-1
Plot for y = 2, then graph • •
•
• •

11. Take the square root of
both sides
2. Graph the function.
Change the equation to:
y=

12. The solution is usually
further simplified by
"rationalizing the
denominator." This is
done by removing the
square root from the
denominator. How can we
make thedenominator 5?
Always factor out
perfect squares

13. Determining the Number of Solutions

15. April 9, 2013
Today:
Reminder: Khan Academy
Warm-Up
Using Square Roots to Solve Quadratics:
Roots & Radicals by the Rules

16. Practice Questions for Tests/Finals

24. (4)

27. Class Work
10-2: Simplifying Radical Expressions
Ladies: Do even numbered Problems
Gentlemen: Odd numbered Problems
Show All Work!!

29. Warm-Up/Review:
A batter smashed a fastball high into the gap between
left and center fields. The path of the ball is shown
by the equation y = -.2x2 + .5x. This allowed the center
fielder enough time to run and make the catch. How
high was the ball hit?
-1/.02 = 50; x = 50
Substitute 50 for x; y =
y=

30. Warm-Up/Review: