Quadratics Flashcards
1
Q
Three methods for solving quadratics
A
Completing the square
Factorising
Quadratic formula
(Secret fourth option: calculator)
2
Q
HIDDEN QUADRATICS
A
you should be able to substitute to make quadratics
x - 6√x + 8 -> let y = √x
3
Q
Maximum/minimum point
A
Complete the square
(x + a)² + b
(-a , b)
4
Q
minimum/maximum value of a quadratic
A
Complete the square
(x + a)² + b
VALUE = b
5
Q
what four points do you need when sketching quadratics
A
- shape of parabola
- y-intercept x=0
- vertex or turning point
- x-intercepts y=0
6
Q
range
A
possible y values of a graph
7
Q
intersection of linear and quadratic
A
equate y =
rearrange
solve quadratic (discriminant if needed)
8
Q
possible discriminant values and what do they mean
A
b²-4ac > 0 no real roots
b²-4ac = 0 one repeated root
b²-4ac < 0 two distinct real roots
