Factor/solve trinomials when a=1
Factor/solve trinomials when a>1
Factor/solve binomials
Graph characteristics
Graph matching
100
Factor into two binomials: x2+10x+25
(x+5)(x+5)
100
Factor
2x2 - 7x + 6
(2x - 3)(x - 2)
100
Factor 3x2-12x
3x(x-4)
100
Identify the concavity and x-intercepts.
f(x) = -3(x + 4)(x - 1)
What is concave down and x = -4, x = 1
100
Choose the appropriate function:
f(x) = (x - 3)(x + 2) g(x) = (x + 3)(x - 2)
h(x) = -(x - 3)(x + 2) m(x) = -(x + 3)(x - 2)
What is m(x)?
200
Factor into two binomials:
x2-12x+27
(x-9)(x-3)
200
Factor
9x2 + 6x + 1
(3x+1)(3x+1)
200
Factor: 20x2 - 8x
4x(5x - 2)
200
Identify the concavity and y-intercept:
f(x) = 2x2 + 5x - 4
What is concave up and (0, -4)?
200
Choose the function that matches the graph.
f(x) = (x - 2)2 - 4 g(x) = (x + 2)2 - 4
h(x) = (x - 2)2 + 4 m(x) = (x + 2)2 + 4
What is f(x)?
300
Factor into two binomials:
x2 + 2x - 24
(x+6)(x-4)
300
Factor
2x2 - x - 6
(x-2)(2x+3)
300
Factor: x2 - 9
(x + 3)(x - 3)
300
Identify the concavity and the vertex.
f(x) = -3(x - 1)2 - 6
What is concave down and (1, -6)?
300
Choose the function that matches the graph.
f(x)=1/2x^2-2x+6
g(x)=-1/2x-2x+6
h(x)=1/2x^2-2x-6
m(x)=-1/2x^2-2x-6
What is g(x)?
Opens down with a y-intercept of 6.
400
Factor and solve:
x2 - 5x + 6 = 0
(x - 3)(x - 2)=0
x = 3, x = 2
400
Factor and solve.
4y2 + 12y + 9 = 0
(2y+3)(2y+3)= 0
y = -3/2
400
Factor and solve:
6x2 + 4x = 0
2x(3x + 2) = 0
x = 0 and x = -2/3
400
True or false:
f(x) = 5x2 + x - 3 has a minimum vertex and a y-intercept (0, -3),
True - concave up has a vertex at the bottom and the "c" value is the y-intercept.
400
Choose which function(s) could have made the graph shown.
f(x) = 2(x - 3)(x + 1)
g(x) = 2x2 - 4x - 6
h(x) = 2(x - 1)2 - 8
m(x) = 2(x + 3)(x - 1)
What is f(x), g(x), h(x)?
500
Factor and solve:
y2 - 7y - 18 = 0
(y - 9)(y + 2) = 0
y = 9 and y = -2
500
Factor and solve:
6x2 + 7x + 2 = 0
(3x + 2)(2x + 1) = 0
x = -2/3 and x = -1/2
500
Factor and solve:
36x2 - 25 = 0
(6x + 5)(6x - 5) = 0
x=+-5/6
500
Give the axis of symmetry for the function
f(x) = 2x2 + 8x - 5
Use
x=-b/(2a)
What is x = -2?
500
Which function(s) could have made the graph shown?
f(x) = -(x - 4)(x - 2)
g(x) = -x2 - 6x - 6
h(x) = -(x - 3)2 + 1
m(x) = -(x + 3)2 + 1
What is g(x) and m(x)?