Square Roots
factor using square roots
x2 - 144=0
x= 12
x= -12
Multiply
(a - 6)2
a2 - 12a + 36
Which form is the quadratic function?
y= 2x2 - 3x + 20
Standard form
y= (x - 1)2 + 3
What is the Vertex? AOS?
Vertex: (1,3)
AOS: x=1
How many slices of pizza are eaten in the United States every second?
12 , 100, 350, 900
350 slices every second
Or 100 acres of pizza a day
1 acre = 43,560 sq. ft.
Factor using square roots
-4x2 = -400
x = 10
x = -10
Factor
w2 + 12w + 36
(w + 6)2
Which form is the quadratic function?
y=(x + 4)2
Vertex form/Factored form
y= 2(x - 2)2 + 5
What is the Vertex? AOS?
Vertex: (2,5)
AOS: x=2
What is the only food that never goes bad?
- Honey
- Corn
- Pickles
- Rice
Honey. Archaeologists found 3,000-year-old honey in Egypt that was still edible!
Solve using square roots
3x2 - 27=0
x= 3
x= -3
Find c
a2 - 25 + _c_
c= 156.25
y=0.5(x - 5)2 + 4
Vertex Form
y= (x - 5)2 - 3
What is the Vertex? Is it a Max or Min?
Vertex: (5, -3)
Minimum
*Positive a=up/Negative a=down
Where was the world’s first speeding ticket issued?
- France
- England
- The United States
- Canada
England. The driver was rumored to be going 8mph
Factor using square roots
2(x - 2)2 +2 = 8
x= Sq. root 3 + 2
x= neg. Sq. roots 3 + 2
Find c and the factored form of trinomial
x2 + 11x + _c_
c= 30.25
Factored Form: (x + 5.5)2
Convert quadratic equation from factored form to standard form
y=(x+5)(x+11)
y=x2+16x+55
y= 3(x + 2)2 - 5
What is the vertex? Does graph open up or down?
Vertex: (-2,-5)
Opens up
How many floors does the Eiffel Tower have?
- 6
- 5
- 4
- 3
3. While there are only 3 floors, the second and third floors do have 2 levels.
The length of a square is (x - 9) units. The area of the square is 144 squared units. What is the value of x?
x=21
x=-3 (not a measurement)
Find c and the factored form of the trinomial
x2 - 24x + _c_
c= 144
Factored Form: (x - 12)2
Factor
x2+4x-21
(x+7)(x-3)
y= 3x2-6x+10
Identify the Vertex
x = 1
Vertex: (1, 7)
In the city of Gainesville in Georgia, what does the law prohibit being eaten with a fork?
-Peach Cobbler
-Mac and Cheese
-Fried Chicken
-Corn Bread
Fried Chicken. Gainesville made the law in 1961 as a way to promote the city as the ‘poultry capital of the world’