Quadratics in Standard Form
Factoring (a=1)
Factoring (a>1)
Quadratic Formula
Graph
100
The standard form of quadratics
y=ax^2+bx+c
100
x^2 -9x +20
(x-5)(x-4)
100
9x^2 -1
(3x +1)(3x-1)
100
What is the quadratic formula?
100
What is the vertex ?
(3,-1)
200
The graph of a quadratic function is a ___________.
Parabola
200
x^2 +4x-12
(x+6)(x-2)
200
3x^2+7x+4
(3x+4)(x+1)
200
What is the discriminant of the quadratic formula?
b^2-4ac
200
T/F Every parabola has at 2 real solutions.
False, a parabola can have 1 solution or 0 solutions
300
Solve
y = x^2 + 2x + 1 at
x=-4
y=9
300
x^2 -13x +22
(x-11)(x-2)
300
4x^2 +5x+1
(4x+1)(x+1)
300
Solve using the quadratic formula:
x^2 -4x-5 =0
x = -1, 5
300
How many solutions does this graph have?
No solution
400
The lowest or highest point on a parabola is called the ________.
Vertex
400
x^2 +9x-36
(x+12)(x-3)
400
12x^2 -4x-40
4(3x+5)(x-2)
400
Solve using the quadratic formula:
8x^2 -8x+2 =0
x = 1/2
400
Name the zeroes ?
0 and 4
500
The formula to find the x-coordinate of the vertex is ________.
x = -b/2a
500
x^2 +2x +4
not factorable
500
12x^2 -36x+27
3(2x-3)^2
500
Solve using the quadratic formula:
3x^2 +7x-24 =13x
x=-2, 4
500
What are the solutions ?
1 and 3