Quadratics (& Most of Wave Function By Accident) Flashcards
1
Q
Completing the square method
A
- expand given form
- compare coefficients
- create equations and solve for form
- sub known values into equation
2
Q
A
2 (x + 1)^2 - 9
3
Q
A
9 - (x - 2)^2
4
Q
quadratic
A
expression where the highest power of x is 2
ax^2 + bx + c = 0
5
Q
graph of parabola
A
parabola
if coefficient of x^2 is positive, the graph is a smiley face
if coefficient of x^2 is negative, the graph is a sad face
6
Q
features of parabola
A
- crosses the x axis at its roots
- all parabolas have an axis of symmetry
7
Q
method for sketching parabola
A
- decide if graph is happy or sad
- find where it crosses the y axis (when x = 0)
- find where it crosses the x a is (when y = 0)
- average the two roots to find the axis of symmetry
- use the axis of symmetry to find max/min TP
8
Q
A
9
Q
A
10
Q
A
11
Q
A
12
Q
A
13
Q
A
minimum TP (0,3)
14
Q
A
min TP (0, 0)
15
Q
A
min TP (0, -8)
16
Q
A
min TP (2,0)
17
Q
A
min TP (-6, 1)
18
Q
A
min TP (5, 0.7)
19
Q
A
max TP (0, 0)
20
Q
A
max TP (0, 9)
21
Q
A
max TP (-3, -2)
22
Q
A
23
Q
A
24
Q
A
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what does it mean to solve a quadratic
to find the values of x when y=0
40
methods to solve a quadratic
- use graph
- factorise
- use quadratic formula
- complete the square
41
x = -3, 5
42
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-0.15 or -2.18
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equation to find roots of a quadratic
54
discriminant values
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using discriminant to determine if a line is a curve
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