Solving
Vertex Form
Standard Form
Radicals
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
Solve the quadratic:
(2x - 4)2 = 256
{-6, 10}
100
When you are finding the maximum height, what are you actually finding?
The y-coordinate for the vertex
200
Identify the solution(s) to the following function:
f(x) = x2 - 121
+- 11 or {-11, 11}
200
What is the vertex for the function
f(x) = -2(x + 3)2 + 3
(-3, 3)
200
A flare is shot from the top of a cliff and is represented by the function h(t) = -16t2 + 16t + 320.
How high is the cliff?
What is the velocity?
How long will it take for the flare to enter the water?
The cliff is 320 ft
The velocity is 16ft/sec
It will take 0.5 seconds
200
Simplify the radical expression
200
What is another name for the solution(s) of a quadratic
roots, zeros, x-intercepts, solutions
300
How many solutions does this quadratic have?
none
300
Write a concave down quadratic function in vertex form if the vertex is (2, -8)
Sample answers: - (x - 2)2 - 8
-2(x - 2)2 - 8
300
Give the solutions to the function by factoring
f(x) = 6x2 - 13x - 5
{-1/3, 5/2}
300
Find the missing side. Leave your answer in radical form
300
The axis of symmetry is always written as ...
an equation x =
400
Find the vertex for the quadratic function
f(x) = -3x2 + 12x - 7
(2, 5)
400
Change from vertex form into standard form
f(x) = 0.5(x - 6)2 + 2
f(x) = 0.5x2 - 6x + 20
400
Factor this quadratic completely and solve!
13x3 - 26x2 - 39x = 0
13x(x2 - 2x - 3) = 0
13x(x - 3)(x + 1) = 0
{-1, 0, 3}
400
Simplify:
400
The graph of a quadratic function is...
a parabola