Core 1 Flashcards
0
Q
Completed square: vertex in y=2(x+5)^2-11
A
Y=-11
1
Q
Tangent to a curve
E.g. Point (2,6) where y=2x^2-3x+4
A
- Dy/dx = 4x-3
- When x=2, dy/dx=5 (if this was 0, equation would be a “y=’ line
- Y=mx+c; 6=10+c; c=-4
- Y=5x-4
2
Q
Completed square: axis of symmetry in y=2(x+5)^2-11
A
X=-5
3
Q
Completed square: vertex coordinates of y=2(x+5)^2-11
A
(-5,-11)
4
Q
2nd derivative: min/max?
A
\+ve = min -ve = max
5
Q
Cubic: +ve/-ve?
A
Smile at END = +ve
Sad at END = -ve
6
Q
Reciprocal graphs: +ve/-ve?
A
Draw line connecting corners +ve/-ve
7
Q
X^4 graph?
A
In top half only. Quadratic graph with flat bottom
8
Q
F(x) +-a
A
Translation of f(x) parallel to y axis by a units
9
Q
F(x+-a)
A
Translation of f(x) parallel to the x-axis by NEGATIVE a units
10
Q
-f(x)
A
Reflection in the x axis
11
Q
F(-x)
A
Reflection in y axis
12
Q
F(ax)
A
Stretch by 1/a parallel to the x axis
13
Q
Af(x)
A
Stretch by a units parallel to y a is
14
Q
Quadratic inequalities
A
- Solve to find x values
- Sketch graph
- Find where y 0
