Solving
Vertex Form
Standard Form
The basics
100
Give the solution(s) to the following function:
f(x)= x2 - 8x + 16
{4}
100
Will the parabola open up or down?
f(x) = -2(x + 3)2 + 3
Down
100
What is the y-intercept of the function
f(x) = 2x2 - 8x + 7
7
100
When you are finding the maximum height, what are you actually finding?
The vertex
200
Identify the solution(s) to the following function:
f(x) = x2 - 121
+- 11
200
What is the vertex for the function
f(x) = -2(x + 3)2 + 3
(-3, 3)
200
Factor the quadratic completely and find the solutions
f(x) = 13x3 -26x2 - 39x
13x(x2 - 2x - 3)
13x(x + 1)(x - 3)
{-1, 3}
200
What is another name for the solution(s) of a quadratic
roots, zeros, x-intercepts
300
Find the vertex for the quadratic function
f(x) = -3x2 + 12x - 7
(2, 5)
300
Change from vertex form into standard form
f(x) = 0.5(x - 6)2 + 2
f(x) = 0.5x2 - 6x + 20
300
Give the solutions to the function by factoring
f(x) = 6x2 - 13x - 5
{-1/3, 5/2}
300
The axis of symmetry is always written as ...
an equation x =
400
How many solutions to this quadratic
none
400
Describe the transformation of the parabola
f(x) = -3(x - 2)2 - 5
a reflection and compression translated 2 units right and 5 units down
400
A flare is shot from the top of a cliff and is represented by the function f(x) = -16t2 + 16t + 320.
What is the velocity?
How long will it take for the flare to enter the water?
It will take 5 seconds
400
The graph of a quadratic function is...
a parabola