Everything Quadratics
A,B, and C
Solve by Isolation
Solve by Quadratic Formula
100
What is the standard form of a quadratic function?
f(x) = ax2+bx+c
100
How do you find a, b, and c?
From the standard form of a quadratic function.
100
Solve. 3x2 + 9 = 12
x = +- 1
100
Will the solution be real or complex?
6x^2 - 3x + 1 = 0
Complex
200
What is the vertex form of a quadratic function?
f(x) = a(x-h)2+k
200
What is a?
3x2 + 4x + 7
3
200
Solve. 2x2 + 24 = 0
x = 2i sqrt(3)
200
Will the solution be real or complex?
2x^2-4x+3=0
Complex
300
What does i mean?
The imaginary number.
300
What is b?
-2x2 + 6x + 3
6
300
Solve. 5x2 - 3 = 12
x = +-3
300
Will the solution be real or complex?
9x^2+12x+2=0
Real
400
What is the quadratic formula?
400
What is c?
4x2 + 7x - 9
What is -9
400
Solve. -4x2 + 2 = 18
x = +-4i
400
Solve. x^2+4x+5=0
x =2 +- i/5
500
How will you know if a solution is real or complex?
Real solutions take the square root positive numbers and Complex solutions use the imaginary number to take the square root of a negative.
500
What is a * b?
-2x2 + 6x + 9
-12
500
Solve. -7x2 =49
x = i sqrt(7)
500
Solve. 9x2-4x+2= 0
x =2+-i sqrt(14)/9