Quadratics in Standard Form
The standard form of quadratics
y=ax^2+bx+c
The vertex form of quadratics
y=a(x-h)^2+k
Why do we factor? What does it help us find?
The x-intercepts
What is the quadratic formula?
It's complicated...
The value of y -intercept of quadratics in standard form
y=c
Does the graph of
-2(x + 5)^2 + 2
have a minimum or a maximum?
Maximum
Factor.
5x2-9x+4
(5x-4)(x-1)
Solve by using factoring
2x2+11x+9 = 0
(-1,0) and (-4.5,0)
What is the imaginary straight line called that divides a parabola into two equal parts?
Axis of symmetry
The vertex of
-2 (x + 4)^2 + 2
(-4,2)
Factor.
3x2 - 8x - 3
(3x+1)(x-1)
Solve the equation using the quadratic formula
4x2+8x-5=0
(-2.5,0) and (.5,0)
Graph the following function.
y = -4x2 - 8x - 2
Nice graph!
What is the axis of symmetry for
y = 2(x+3)^2 - 8
x = -3
Factor.
x2-9x+14
(x-7)(x-2)
Find the x-intercepts by factoring
x2+6x+8
(-4,0) and (-2,0)
Find the vertex of this quadratic function.
y=x2+2x+1
(-1,0)
Make the table to graph the following function.
Nice work!
Factor
x2-12x+20=0
(x-10)(x-2)
Solve by using the Quadratic Formula
6x2 - 7x + 6 = 0
(1.64,0) and (-.23,0)