# File ```Halg 2 ~ Unit 3~Day 5~Warm Up:
2
1
#1 Given: y   5( x  4 )  2 , identify the:
a. Vertex
b. Axis of symmetry
c. Maximum/minimum value
d. Domain
e. Range
#2 Write the equation for a parabola in vertex form if
the vertex is (3, 4) and the y-intercept is 2.
#3 When y = 0.5(x -3)2 +7 is written in standard form,
what is the value of c?
Warm-Up:
Factor completely
1. 6x - 36x
2
2. 16x - 9
2
3. 18x + 9x -14
2
4. 3x -17x +10
2
5. 6x +15x + 9
2
Packet p. 5
1. (x-10)(x-8)
2. (x2+1)(5y-1)
3. 3(y-3)(y-2)
4. (a2+b2)(a-b)
5. x2(x-7)(x-8)
6. (k-4)2
Review:
1) a=-6
b=-24
2) a=1
b= 2
7. 2(z-3)2
8. (c3-12)(c+1)
9. (5y-10)(5y+10)
10.(x+k)(x+3)
11.(a+d)(a-2)
12.(x+5)(x-5)
2
3) a=3
4)a 
9
b= -12
b
4
3
Part B:
1) 2 secs;
64 feet
Homework
Packet p. 6 and 7
If you need help come to
tutorial! Monday &amp; Thursday 1st
half of lunch OR Wednesday
after school!
Your next quiz is on Monday!
1. x  3 x  18
2
2. 2x  9 x  12
2
3. x  49 x
3
4. G iven the follow ing equations answ er the follow ing questions.
x  2x 1
2
a. W hat is the vertex?
b. Is it a m ax or m in?
c. W hat is the aos?
d. W rite in vertex form ?
Graphing
Example: Solve x2 – 5x + 2 = 0
2. Use the CALC feature to find the two zeros
of the function.
You try:
2
a. x + 6x + 4 = 0
2
b. 3x + 5x -12 = 8
Applications: Solve by
graphing
1. A woman drops a front door2 key to her
h   16twindow
 6 4 several
husband from their apartment
stories above the ground. The function
gives the height h of the key in feet, t seconds
after she releases it.
a. How long does it take the key to reach the
ground?
b. What are the reasonable domain and range
for the function h?
2. You use a rectangular piece of cardboard
measuring 20 in. by 30 in. to construct a box.
You cut squares with sides x in. from each
corner of the piece of cardboard and then fold
up the sides to form the bottom.
a. Write a function A representing the area of
the base of the box in terms of x.
b. What is a reasonable domain for the
function A?
c. Write an equation if the area of the base
must be 416 in.2.
d. Solve the equation in part&copy; for values of x
in the reasonable domain.
e. What are the dimensions of the base of the
box?
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