You may use your notes, homework, and study guides. Remember to show your work on all problems that require it.
And double remember to answer every question. You will receive credit for any work you do.
Good Luck!
Question 1
1.
Graph the function using its intercepts.
What are the coordinates (x,y) of the x-intercepts?
_______ and _______
What is the axis of symmetry (in the form of x=h)
_______
What is the vertex?
_______
Question 2
2.
Describe the transformation of:
Stretch or Compression?(If a=1 or a=-1, then write none)_______
Opens upward or downward?_______
Horizontal shift? (If there is no shift write none)_______
Vertical shift? (If there is no shift write none)_______
Axis of Symmetry? (x=h)_______
Vertex (h,k)_______
Graph the parabola.
Question 3
3.
Graph this quadratic function.
Question 4
4.
Solve the following Quadratic function:
(3x - 27)(4x + 16) = 0
x=_______
x=_______
Question 5
5.
Solve the following Quadratic function:
x=_______
x=_______
Question 6
6.
Solve this quadratic equation.
x=_______ and x=_______
Question 7
7.
Write and solve the equation describing the relationship:
Find the length and width of a rectangle whose length is 5 cm longer than its width and whose area is 45cm².
Write the equation that represents: "length is 5 cm longer than its width"
_______
Write the equation that represents: "area is 45 cm²"
_______
What is the length?
_______
What is the width?
_______
Question 8
8.
Challenge Problem
(This problem is worth 40 point of extra credit)
A diver jumps from a dividing board 32 feet above the water with an initial velocity of 12 feet per second. The height h, in feet, of a the diver tseconds after she jumped can modeled by the function h(t) = -16t² + 12t + 32.
For all your answers round to two decimal places.
Find the height of the diver 1 second after he jumped off the board.
_______
How long did it take for the diver to reach a maximum height above the water?
_______
What is the diver's maximum height?
_______
After how many seconds did the diver enter the water?