Factoring Fun
Factor x2+3x+2
(x+2)(x+1)
Which of the following graphs have maximums? Indicate them by their color.
Black, Blue, & Purple Graphs
Use the best method to solve for x: x2+7x+12=0
(x+4)(x+3)=0
x=-4 x=-3
Describe the parabola: y= x2 + 5
Parabola opens up
Parabola shifts up 5 on the y-axis
Double Distribute: (x-2)(x+5)
x2+3x-10
Factor x2+x-12
(x+4)(x-3)
Which of the following graphs have minimums?
Red and Green
Use the best method to solve for x: x2-10x+16=0
Factoring
(x-8)(x-2)
x=8 x=2
Describe the parabola: y= -x2 -3
Parabola opens down
Parabola shifts down 3 on the y-axis
Does the parabola have a maximum or a minimum? How do you know? y= -x2 + 5
Maximum! I know this because the parabola opens down (negative sign).
Factor x2-2x-35
(x-7)(x+5)
Indicate the graph that matches the equation:
y=-1/5x2+10
Black Graph
Use the best method to solve for x: x2-169=0
x2-169=0
x2=169
x=13 x=-13
Describe the parabola: y= 1/2x2 + 1
Parabola Opens Up
Parabola gets wider
Parabola shifts up 1 on the y-axis
Solve for the axis of symmetry of: 1x2+10x+5
x=-b/2a
x=-10/2(1)
x=-5
Factor x2-4x-35
(x-9)(x+5)
Indicate the graph that matches the equation:
y=-5x2
Purple Graph
Use the best method to solve for x: x2-9x=0
x(x-9)=0
x=0 x=9
Describe the parabola: y= 3x2 - 5
Parabola opens up
Parabola gets thinner
Parabola shifts down 5 on the y-axis
Solve for the axis of symmetry of: 2x2-12x-11
x=-b/2a
x=-(-12)/2(2) = 12/4
x= 3
Factor x2-15x+36
(x-3)(x-12)
Indicate the graph that matches the following equations: (Need both for FULL points)
y=-2x2+4 AND y=1/2x2
y=-2x2+4 : Blue Graph
y=1/2x2 : Green Graph
Use the best method to solve for x: 2x2+5x+2=0
Quadratic Formula
x= -0.5
x= -2
Describe the parabola: y= -5x2 - 7
Parabola opens down
Parabola gets thinner
Parabola shifts down 7 on the y-axis
Use the quadratic formula to solve for x: 3x2+8x+4=0
x= -2/3
x= -2