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vertex form
alg.58
by
TweetEnrique Baloyra
on 9 April 2018Transcript of vertex form
ESSENTIAL QUESTION
Graph using vertex form.
Vertex Form
hw 57.1
EXIT SLIP
Name
Date
Period
Assignment
How do I use vertex form of a quadratic equation?
ESSENTIAL QUESTION
5. Set L = {3, 4, 5, 6, 7, 8}
Set M = {4, 6, 8}
Set N = {3, 6}
Find (L M) N.
A.
{4, 6, 8}
B.
{3, 4, 6, 8}
C.
{3, 6}
D.
{3, 4, 5, 6, 7, 8}
6. Solve the formula below for g.
E = kgh
Which equation is solved for g?
A. g = Ehk B. g =
C. g = D. g =
2
7. Solve the equation below for n.
d = (f  2)n
A. n = dn + 2 C. n =
B. n = D. n =
9. The Venn diagram below shows the length of books three students read.
Theo
190
320
215
Sendy 220 235
280 225
Daana
What is the longest book Sendy and Daana have in common?
8. Solve for w.
n w
6 12
A. w = 72n B. w =
C. w = D. w = 2n
=
_ __
Ek
h
___
2
Eh
k
___
2
E
kh
___
2
f  2
d
___
d
f  2
___
d + 2
f
___
2
n
n
2
__
_
2
180
A. 320
B. 220
C. 180
D. 235
10. Katina asked 85 friends whether they
play chess or checkers. 22 like chess only. 17 like both and 10 like neither. How many like checkers?
friends
checkers chess A. 53
B. 36
C. 43
D. 46
1. Precious asked her friends what kind of house they like. If 85 like modern, ranch, or both, how many like only modern?
23
12 17
9
? 19
6
2. Marquis is cataloging his 80 comic books.
He finds 30 are only super hero.
22 are both super hero and adventure.
15 are neither. How many are adventure?
comics
super adventure
hero
3. Which equation is equivalent to
N = (15 + 1.7x)  9?
A. N = 15 + 1.7(x  9)
B. N = (15 + 1.7)x  9
C. N = (15 + 1.7)  0.5x
D. N = 15 + (1.7x  9)
Ranch
Modern Craftsman
4. Vanessa wants to figure out how much she earns an hour. She charges $75 plus 20% of materials. The equation below shows if she works 15 hours for a client.
15h = 0.2m + 75
Which equation can be used if materials cost $250?
A. h = 50 + 75
B. h = + 75
C. h = + 5
D. h = + 50
50
15
50
15
75
15
__
__
__
Graph.
y = (x + 2) + 5
What is the
maximum?
OBJECTIVE
Standard
Date
Class
Notes
Essential Question
All students will advance at least one level.
All students will advance at least one level.
I, ____________, will do my best to complete my activities and follow these rules:
1. I will stay in my seat and keep my hands, feet and comments to myself.
2. I will keep my voice down.
3. I will always stay on task and work to learn.
4. I will not interrupt the teacher.
5. I will not bring any negativity into the classroom.
Which city experienced the most extreme temperature change throughout this 24hour period? Why? Describe the distributions.
MAFS.912.AREI.2.4
Topics 57 Review cw 56
page 2
question 5
y =

x 3
question 6
Qx + Ry = S
3Tx  3Uy =

3V
7Qx + 7Ry = 7S
GTx
+
G
U
y = GV
What percent of the females did not play a sport?
What percent of the students do not play any sport?
What percent of the males play exactly two sports?
What percent of the students who play no sports are male?
Describe the distribution of the data below. Choose an appropriate display to support your findings.
240, 220, 180, 190, 240, 190, 220, 200, 190
Solve for x.
(2 ) = 4 9 = 3
36. The student council is selling rolls of gift wrap and ribbon for the holiday season. The council charges $10 for a roll of gift wrap and $3.50 for a roll of ribbon. The student council will receive, as profit, 60% of the total sales. The student council has a fundraising goal of at least $1,500. Let g equal the number of rolls of gift wrap sold and let r equal the number of rolls of ribbon sold.
39. A local store makes and sells handmade ceramic cookware. The store earns a profit of
one dollar more on each plate sold than it earns by selling one cup. If the profit the store earns in one day on the sales of cups and plates is given by the expression
kx + (k  1)y
, what does y represent if k is the profit earned from selling each plate?
A.
the number of cups sold in one day
B.
the number of plates sold in one day
C.
the profit earned on the cups sold in one day
D.
the profit earned on the plates sold in one day
3 4 x
(2x + 3) 3x
Solve for x.
(3 ) = 27 64 = 4
2 6 2x
(2x  5) 3x
Solve each equation by completing the square.
x + 4x = 20 3n  6n = 17
2
2
Find each axis of symmetry.
y = x  4x + 1
y = 2x  x + 4
y = x + 3x  2
1
2
_
2
2
2
Graph.
y = x
y = x  3
y = (x + 2)  3
Rewrite in Standard Form.
vertex form
y = a(x – h) + k
where (h, k) LR UD
opposite same
Draw the graph to show
g(x) = f(x  3)
2
1
3
_
2
Rewrite in vertex form.
y = x + 4x + 1
check your
xcoordinate
What is the max/min?
2
Rewrite in vertex form.
*
y = 3x + 6x  7
check your
xcoordinate
what is the min/max?
what does it mean?
y = 2x + 8x + 9
check your
xcoordinate
what is the min/max?
what does it mean?
y = 3x + 12x + 5
check your
xcoordinate
what is the min/max?
what does it mean?
2
2
**
In your notebook
**
The curve of the bridge can be modeled by the equation
y = x + 9
What is the distance between the bases?
2
2
What do the xintercepts represent?
Where the bridge touches the ground.
**
On 1/2 sheet
**
Solve the system of equations.
3x + 4y = 10
5x + 6y = 12
2
2
2
Graph.
y = (x  3)  4
Rewrite in Standard Form.
y = (x + 1) + 3
Rewrite in Standard Form.
2
Graph.
y = 2(x  3)  4
Rewrite in Standard Form.
2
Two polygons have a
combined area of
5x + 4x  2x + 1
One of the polygons has
an area of
3x  6x  7
Find the area of the other.
3 2
3 2
2
Full transcriptGraph using vertex form.
Vertex Form
hw 57.1
EXIT SLIP
Name
Date
Period
Assignment
How do I use vertex form of a quadratic equation?
ESSENTIAL QUESTION
5. Set L = {3, 4, 5, 6, 7, 8}
Set M = {4, 6, 8}
Set N = {3, 6}
Find (L M) N.
A.
{4, 6, 8}
B.
{3, 4, 6, 8}
C.
{3, 6}
D.
{3, 4, 5, 6, 7, 8}
6. Solve the formula below for g.
E = kgh
Which equation is solved for g?
A. g = Ehk B. g =
C. g = D. g =
2
7. Solve the equation below for n.
d = (f  2)n
A. n = dn + 2 C. n =
B. n = D. n =
9. The Venn diagram below shows the length of books three students read.
Theo
190
320
215
Sendy 220 235
280 225
Daana
What is the longest book Sendy and Daana have in common?
8. Solve for w.
n w
6 12
A. w = 72n B. w =
C. w = D. w = 2n
=
_ __
Ek
h
___
2
Eh
k
___
2
E
kh
___
2
f  2
d
___
d
f  2
___
d + 2
f
___
2
n
n
2
__
_
2
180
A. 320
B. 220
C. 180
D. 235
10. Katina asked 85 friends whether they
play chess or checkers. 22 like chess only. 17 like both and 10 like neither. How many like checkers?
friends
checkers chess A. 53
B. 36
C. 43
D. 46
1. Precious asked her friends what kind of house they like. If 85 like modern, ranch, or both, how many like only modern?
23
12 17
9
? 19
6
2. Marquis is cataloging his 80 comic books.
He finds 30 are only super hero.
22 are both super hero and adventure.
15 are neither. How many are adventure?
comics
super adventure
hero
3. Which equation is equivalent to
N = (15 + 1.7x)  9?
A. N = 15 + 1.7(x  9)
B. N = (15 + 1.7)x  9
C. N = (15 + 1.7)  0.5x
D. N = 15 + (1.7x  9)
Ranch
Modern Craftsman
4. Vanessa wants to figure out how much she earns an hour. She charges $75 plus 20% of materials. The equation below shows if she works 15 hours for a client.
15h = 0.2m + 75
Which equation can be used if materials cost $250?
A. h = 50 + 75
B. h = + 75
C. h = + 5
D. h = + 50
50
15
50
15
75
15
__
__
__
Graph.
y = (x + 2) + 5
What is the
maximum?
OBJECTIVE
Standard
Date
Class
Notes
Essential Question
All students will advance at least one level.
All students will advance at least one level.
I, ____________, will do my best to complete my activities and follow these rules:
1. I will stay in my seat and keep my hands, feet and comments to myself.
2. I will keep my voice down.
3. I will always stay on task and work to learn.
4. I will not interrupt the teacher.
5. I will not bring any negativity into the classroom.
Which city experienced the most extreme temperature change throughout this 24hour period? Why? Describe the distributions.
MAFS.912.AREI.2.4
Topics 57 Review cw 56
page 2
question 5
y =

x 3
question 6
Qx + Ry = S
3Tx  3Uy =

3V
7Qx + 7Ry = 7S
GTx
+
G
U
y = GV
What percent of the females did not play a sport?
What percent of the students do not play any sport?
What percent of the males play exactly two sports?
What percent of the students who play no sports are male?
Describe the distribution of the data below. Choose an appropriate display to support your findings.
240, 220, 180, 190, 240, 190, 220, 200, 190
Solve for x.
(2 ) = 4 9 = 3
36. The student council is selling rolls of gift wrap and ribbon for the holiday season. The council charges $10 for a roll of gift wrap and $3.50 for a roll of ribbon. The student council will receive, as profit, 60% of the total sales. The student council has a fundraising goal of at least $1,500. Let g equal the number of rolls of gift wrap sold and let r equal the number of rolls of ribbon sold.
39. A local store makes and sells handmade ceramic cookware. The store earns a profit of
one dollar more on each plate sold than it earns by selling one cup. If the profit the store earns in one day on the sales of cups and plates is given by the expression
kx + (k  1)y
, what does y represent if k is the profit earned from selling each plate?
A.
the number of cups sold in one day
B.
the number of plates sold in one day
C.
the profit earned on the cups sold in one day
D.
the profit earned on the plates sold in one day
3 4 x
(2x + 3) 3x
Solve for x.
(3 ) = 27 64 = 4
2 6 2x
(2x  5) 3x
Solve each equation by completing the square.
x + 4x = 20 3n  6n = 17
2
2
Find each axis of symmetry.
y = x  4x + 1
y = 2x  x + 4
y = x + 3x  2
1
2
_
2
2
2
Graph.
y = x
y = x  3
y = (x + 2)  3
Rewrite in Standard Form.
vertex form
y = a(x – h) + k
where (h, k) LR UD
opposite same
Draw the graph to show
g(x) = f(x  3)
2
1
3
_
2
Rewrite in vertex form.
y = x + 4x + 1
check your
xcoordinate
What is the max/min?
2
Rewrite in vertex form.
*
y = 3x + 6x  7
check your
xcoordinate
what is the min/max?
what does it mean?
y = 2x + 8x + 9
check your
xcoordinate
what is the min/max?
what does it mean?
y = 3x + 12x + 5
check your
xcoordinate
what is the min/max?
what does it mean?
2
2
**
In your notebook
**
The curve of the bridge can be modeled by the equation
y = x + 9
What is the distance between the bases?
2
2
What do the xintercepts represent?
Where the bridge touches the ground.
**
On 1/2 sheet
**
Solve the system of equations.
3x + 4y = 10
5x + 6y = 12
2
2
2
Graph.
y = (x  3)  4
Rewrite in Standard Form.
y = (x + 1) + 3
Rewrite in Standard Form.
2
Graph.
y = 2(x  3)  4
Rewrite in Standard Form.
2
Two polygons have a
combined area of
5x + 4x  2x + 1
One of the polygons has
an area of
3x  6x  7
Find the area of the other.
3 2
3 2
2