f(x) notation
Parabolas and Graphs
Expanding
Factoring
Solving Quadratics
Difference of 2 Squares
100
y is a function of x if...
each value of x goes to exactly one value of y.
100
What are the x-intercepts of this parabola?
x = -2
x = 4
100
3(x+2)
3x+6
100
3x-12
3(x-4)
100
x2 - 5 = 4
x = 3 or -3
100
x2-25
(x+5)(x-5)
200
For the function f(x)=x2+3
What is f(3)?
12
200
Sketch the following graph. In order to get this question correct you must properly label the x-intercepts.
y = -2(x+5)(x-2)
200
x(x+5)
x2+5x
200
2x2+4x
2x(x+2)
200
x(x-9)=0
x=0 or x=9
200
x2-121
(x+11)(x-11)
300
For the function f(x) = x2+3
What value(s) of x satisfy the equation f(x)=12?
x = 3 or -3
300
Given the equation, determine the y-intercept and the vertex of the parabola.
f(x)= (x-2)(x-6)
300
(x+5)(x-2)
x2+3x-10
300
x2+5x-14
(x+7)(x-2)
300
x2-12x+18 = -14
x=8 or x=4
300
4x2-16
(2x+4)(2x-4)
400
Is distance a function of time? How do you know?
Yes, distance is a function of time. Each distance corresponds to exactly one time.
400
Determine the equation of the graph shown.
y= -0.5(x+10)(x-6)
400
(2x-3)(3x+2)
6x2-5x-6
400
x2-6x+5
(x-5)(x-1)
400
2x2+4x-25=5
x=-5 or x=3
400
36-9x2
(6+3x)(6-3x)
500
Is time a function of distance? How do you know?
No, time is not a function of distance. There are some distances that correspond to more than one time.
500
Determine the equation of the graph shown.
y=0.75(x+11)(x+1)
500
(4x+2)(3-2x)
-8x2+8x+6
500
2x2-18
2(x+3)(x-3)
500
-x2-5x+10=0
x=-6.53 or x=1.53
500
-16x2+4
(2+4x)(2-4x)