warm up # 1 # 3 # 2 find the vertex of the function. # 4 find the coordinates of point a find the...
TRANSCRIPT
Warm Up
# 1
# 3
# 2
Find the vertex of the function.
2f x x 4x 6
# 4
1,
2
,0
Find the coordinates of point A
Find the coordinates of point B
Find the coordinates of point C
A
C
,9B
This will be a test question tomorrow!(but the numbers may change )
Warm Up
# 1 Find the vertex of the function.
2f x x 4x 6
1,
2
,0
A
C
x42
2
2f 42 2 62
8 64
10
A.O.S.
Vertex : 2,10
,9B
2,10
Warm Up
# 2
1,
2
,0
Find the coordinates of point A
A
C
2f x x 4x 6 20 x 4x 6
2x 4x 6 0
2x 2 10 2x 2 10
2x 4x 6 4 4
x 2 10
x 2 10
2 10,0
2 10,0
,9B
2,10
Point A : 2 10,0
Warm Up
# 3
1,
2
Find the coordinates of point B
A
C
2f x x 4x 6
2 10,0
2 10,0
29 x 4x 6
2x 4x 3 0
x 1 x 3 0
x 1, 3
,9B
3,9 1,9
Point B: 3,9
2,10
Warm Up
# 4
1,
2
Find the coordinates of point C
A
C
2f x x 4x 6
2 10,0
2 10,0
,9B
3,9 1,9
2
41 12 2
6
f12
12 6
4 1 8 24
4 4 4
1 8 244
154
1 15,
2 4
2,10
1 15Point C : ,
2 4
Chapter Review
Chapter 9 Review
Chapter Review
2y x 4x 4
2y x 4x 4
2y x 4
2y x 5x 4
# 1
# 2
# 3
# 4
Match each function with its graph.
C
A
D
B
Chapter Review
What is the minimum value of the function below?# 5
Chapter Review
# 6
Chapter Review
5 25 56x
4
Which quadratic equation has the solutions
A
B
C
D
22x 5x 6 0
25x 2x 7 0 22x 5x 7 0
27x 2x 5 0
# 7
Chapter Review
How many times does the graph of intersect the x-axis?
# 8
Chapter Review
To correctly solve the equation by completing the square, which equation is part of the solution process?
# 9
Chapter Review
# 10
By completing the square
Complete the square: By Quadratic formula
#1 #2
#3 #4
#5 #6
#7 #8
#9 #10
#11 #12
#13 #14
#15 #16
Bonus1 Bonus2
1)
5)
8)
4)3)
7)
10)
2)
6)
11) 12)
14)
13)
15) (x + 3)2 =49
x2 + 16x −17 =0
x2 + 14x + 6 =0
2x2 −12x + 9 =y
15x2 −x −6 =0 3x2 −7x + 1 =0 x2 −5x =11x −54
5x2 + 11x −6 =0
x2 + 11x +
Chapter 9 Study Guide 2
3x2 −8x =10 x2 −8x −6 =0
4
Find the vertex of the function below
By Factoring
x2 −18x + 19 =0
x2 −10x +
What would be the value for “b” in the quadratic formula for:
8x2 −4x =2x + 5
Bonus #1 Bonus #2What number do you add to “complete the square.”
Write the quadratic equation ( in standard form) that has the roots:
x =3 and x =−9 x2 −
4
5x +
6x2 −11x −10 =0
Solve each by the given technique:
Complete the square:
By Quadratic formula By Factoring
Solve using any method:
Complete the square:
9)
16)
By Factoring
5x2 −80 =0
What number do you need to add to “complete the square.”
What number do you need to add to “complete the square.”
By completing the square
Complete the square: By Quadratic formula
#1 #2
#3 #4
#5 #6
#7 #8
#9 #10
#11 #12
#13 #14
#15 #16
Bonus1 Bonus2
1)
5)
8)
4)3)
7)
10)
2)
6)
11) 12)
14)
13)
15) (x + 3)2 =49
x2 + 16x −17 =0
x2 + 14x + 6 =0
2x2 −12x + 9 =y
15x2 −x −6 =0 3x2 −7x + 1 =0 x2 −5x =11x −54
5x2 + 11x −6 =0
x2 + 11x +
Chapter 9 Study Guide 2
3x2 −8x =10 x2 −8x −6 =0
4
Find the vertex of the function below
By Factoring
x2 −18x + 19 =0
x2 −10x +
What would be the value for “b” in the quadratic formula for:
8x2 −4x =2x + 5
Bonus #1 Bonus #2What number do you add to “complete the square.”
Write the quadratic equation ( in standard form) that has the roots:
x =3 and x =−9 x2 −
4
5x +
6x2 −11x −10 =0
Solve each by the given technique:
Complete the square:
By Quadratic formula By Factoring
Solve using any method:
Complete the square:
9)
16)
By Factoring
5x2 −80 =0
What number do you need to add to “complete the square.”
What number do you need to add to “complete the square.”
25
121
4
−6 (3,−9)
5
2,−
2
3
⎧⎨⎪
⎩⎪
⎫⎬⎪
⎭⎪ 1,−17{ }
−4, 4{ }
−7 ± 43{ }
−11± 241
10
⎧⎨⎪
⎩⎪
⎫⎬⎪
⎭⎪ 9± 62{ }
8± 10{ }
−3
5,2
3
⎧⎨⎪
⎩⎪
⎫⎬⎪
⎭⎪
4,−10{ }
4 ± 22{ }
7 ± 37
6
⎧⎨⎪
⎩⎪
⎫⎬⎪
⎭⎪
4 ± 46
3
⎧⎨⎪
⎩⎪
⎫⎬⎪
⎭⎪
x2 + 6x −27 =0
4
25
Chapter Review
Good Luck!