Show:
What Form?
Terms
Factor
What do I need?
100
f (x) = ax ^2 + bx + c
Standard Form
100
A symmetrical open plane curve
A Parabola
100
x​^2 - 3x − 40
( x - 8 ) ( x + 5 )
100
When will the ball hit the ground?
Find the Zeros
200
f (x) = (x-s) (x-t)
Factored Form
200
the highest point; the top of a parabola
The Vertex
200
4x^2 + 12x + 5
(2x + 5)(2x + 1)
200
What is the Maximum Profit?
Vertex
300
f (x) = a ( x – h ) 2 + k
Vertex Form
300
The three forms of a quadratic equation
Standard, Vertex and Factored
300
18x^2 - 39x + 20
(3x - 4)(6x - 5)
300
Where are the break even points?
Zeroes
400
f (x) = (m + a + t + h)
This is not an actual form
400
How to change equation from Standard to Vertex form
Completing the Square
400
10x^2 + x - 2
(5x - 2)(2x + 1)
400
What is the maximum height of the ball?
Vertex
500
f (x) = a ( x – 3 )^ 2 + 12
Vertex
500
What are the 5 key points of a Parabola?
Zeroes Y-Intercept Vertex Axis of Symmetry Step Pattern
500
18x^3 +3x 2 - 6x
3x (2x - 1) (3x + 2)
500
What height was the ball kicked at?
Y-Intercept