December 2015 (Algebra II 5.0E)
12/1/15
Answer following and plot: y  3( x  2)2  5
1.)
Find axis of symmetry:
2.)
Find the vertex.
3.)
Direction of Opening:
y
x
4.)
Find the y-intercept
(x = 0)
5.)
Find the x-intercept
(y = 0)
12/2/15
Write the equation of the quadratic function in vertex form.
1.
2. Vertex is (3,7) and a point on the graph is
(-1, 1).
y
x
12/3/15
Write the equation of the quadratic function in vertex form if vertex is (0,5) and a point on
the graph is (2,-5) then answer following questions.
a) Find axis of symmetry: ______
b) Direction of Opening: ______
c) Find the y-intercept (x = 0):
d) Find the x-intercept (y = 0):
12/4/15
1
Answer following questions using y   ( x  2) 2  5 .
2
1.)
Find axis of symmetry:
2.)
Find the vertex.
3.)
Direction of Opening:
4.)
Find the y-intercept (x = 0):
5.)
Find the x-intercept (y = 0):
6.)
Change vertex form y  a  x  h   k into standard form y  ax 2  bx  c .
2
12/7/15
Answer following and plot: y  2 x 2  7 x  6
1.)
Find axis of symmetry:
2.)
Find the vertex.
y
x
3.)
Direction of Opening:
4.)
Find the y-intercept (x = 0):
5.)
Find the x-intercept (y = 0):
12/8/15
Answer following and plot: y  4 x 2  9
1.)
Find axis of symmetry:
2.)
Find the vertex.
y
x
3.)
Direction of Opening:
4.)
Find the y-intercept (x = 0):
5.)
Find the x-intercept (y = 0):
12/9/15
Find the quadratic equation using roots (x-intercept or zeros).
1). x  2, 5
2
1
2). x  , 
3
5
12/10/15
1. Write Vertex Form using y  x 2  x  6
2. Write Standard Form using y  3( x  2)2  5
12/14/15
Answer following and plot: y   x 2  2 x  4
1.)
Find axis of symmetry:
2.)
Find the vertex (max/min).
3.)
Direction of Opening:
4.)
Find the y-intercept (x = 0):
5.)
Find the x-intercept (y = 0):
y
x
12/15/15
1
If h( x)   ( x  4) 2  5 represent a cannonball projectile (trajectory) height (ft.) vs.
8
distance, answer following:
1.
2.
3.
4.
Find the maximum height.
Find the distance when the cannonball reaches highest.
What is the total distance the cannonball travel?
What is the cannon’s initial height?
12/16/15
A pumpkin is thrown from a 10 feet tall catapult. The flight of the pumpkin is modeled by
h(t )  8t 2  38t  10 . Use this function to answer the following questions.
a. What’s the height of the pumpkin after 2 seconds?
b. After how many seconds does the pumpkin reach its maximum height?
c. What’s the maximum height of the pumpkin?
d. What’s the total flight time of the pumpkin?
12/17/15
A baseball is thrown and flight of the ball is modeled by h( x)  5 x 2  68 x . Use this
function to answer the following questions if x represents horizontal distance in yards and
h represents the height of the ball in yards.
a.
b.
c.
d.
12/18/15
What is the ball’s initial height just before it was thrown?
What’s the height of the ball reaches 10 yards?
How far the ball does travels to reach its maximum height?
What’s the maximum height of the ball?