Unit 2 - Graphs, Linear and Quadratic Inequalities Flashcards
1
Q
Solving quadratic inequalities
A
- Get zero on one side of the inequality
- Solve the quadratic equation = 0 to find x intercepts
- Sketch the quadratic clearly labelling the x intercepts
- For > 0 the solutions are values of x where the graph is above the x axis
- For < 0 the solutions are values of x where the graph is below the x axis
2
Q
Sketching inequalities
A
Use a solid line for < > (and equal to) and a dotted line for just < >.
Shade the required region.
3
Q
Cubic graphs
A
y = ax^3 + bx^2 + cx + d
4
Q
Reciprocal graphs
A
y = a / x
5
Q
Translation in the x direction (-a,0)
A
f(x+a)
6
Q
Translation in the x direction (a,0)
A
f(x-a)
7
Q
Translation in the y direction (0,-b)
A
f(x)-b
8
Q
Translation in the y direction (0,b)
A
f(x)+b
9
Q
Reflection in the x-axis (y=0)
A
-f(x)
10
Q
Reflection in the y-axis (x=0)
A
f(-x)
11
Q
Stretch in the x direction by sf 1/c
A
f(cx)
12
Q
Stretch in the x direction by sf c
A
f(1/c x)
13
Q
Stretch in the y direction by sf d
A
df(x)
14
Q
Stretch in the y direction by sf 1/d
A
1/d f(x)
