Graphing Quadratics
Solving by Factoring
Chapter 6 Materials
Chapter 7
100
What is the vertex?
2x2+4x-1=0
(-1,-3)
100
Solve by Factoring
x2-3x-40=0
x=8
x=-5
100
Daily Double!!
Daily Double!!
100
Solve by Square root method
3x^2+27=0
x=+-3i
200
What is the y-intercept?
3x2+12x-8=0
(0,-8)
200
Solve by Factoring
2x2-5x-3=0
x=-1/2
x=3
200
The length of a rectangle is represented by the function L(x) = 2x. The width of that same rectangle is represented by the function W(x) = 8x2 − 4x + 1. Which of the following shows the area of the rectangle in terms of x?
16x3 − 8x2 + 2x
200
Solve by completing the square
x^2+14x+49=0
x=-7
300
Does the graph have a minimum or a maximum? How do you know?
What are the solutions?
x2+16x+63=0
Minimum faces up
(-9,0) and (-7,0)
300
Solve by Factoring
6x2+7x-20=0
x=4/3
x=-5/2
300
A polynomial function can be written as (x − 1)(x − 4)(x + 7). What are the x-intercepts of the graph of this function?
(1, 0), (4, 0), (−7, 0)
300
Solve with Quadratic Formula method
x^2+16x-60=0
x=3.14
x=-19.14
400
What is the vertex?
Does the graph have a minimum or maximum?
What is it?
Make a table to find the solutions.
Sketch the graph.
x2-3x-10=0
(-1.5,-3.25)
Minimum (-1.5,-3.25)
(5,0)(-2,0)
400
Solve by Factoring
8x2+2x=3
x=1/2
x=-3/4
400
Simplify (4x − 6) − (5x + 1)
−x − 7
400
What are the x-intercepts
x^2+20x+130=5
x= -2, -1, 2