Functions
The simplest form in a set of functions that forms a family
What is a parent function?
y=f(x-h)
What is a right horizontal shift?
Find the x and y intercepts of:
x-3y=9
What is (9,0) (0, -3)?
These lines have the same slope, but different y-intercepts.
What are parallel lines?
This student ALWAYS reminds Mrs. Gibbons that she needs to change the date on the white board
Who is Jonas?
Each function in the family in relation to the parent function
What is a transformation?
y=f(x)+k
What is an up vertical shift?
Find the x-and y-intercepts of each line:
y=7x+5
What is (-5/7, 0) (0, 5)?
y-y1=m(x-x1)
What is point-slope form?
The number of Algebra 2 students in our class
What is 8?
This type of function has a zero y-intercept
What is direct variation?
Flips the graph of a function across a line, such as the x- or y-axis
What is a reflection?
Is this a function, yes or no? And why? If so, what is it?
x y
3 7
4 2
2 3
5 1
What is no because when dividing y/x there is no constant?
Slopes of perpendicular lines are...
What are negative reciprocals?
The date AND year of Mr. Gibbons' birthday
What is February 29, 1968 (Leap Year)?
An equation between two variables that gives a straight line when plotted on a graph
What is a linear equation?
Multiplies all x-values by 1/b
What is a horizontal compression?
Write the equation in slope-intercept form:
4x=2+y
What is y=4x-2?
Write an equation of the line in slope-intercept form:
slope -3 through (1,-4)
What is y=-3x-1?
The color of our Algebra 2 textbook
What is green?
An absolute value is an example of this function, which has different rules for different parts of its domain
What is a piecewise function?
Multiplies all the y-values of a function by the same factor greater than one
What is a vertical stretch?
Write an equation of the line in point-slope form:
(-4,2) (-3, 5)
What is y-2=3(x+4) or y-5=3(x+3)?
If the intercepts of a line are (a,0) and (0, b), what is the slope of the line?
-b/a
The amount of dirt in a hole that is 6'X10'X3'
What is zero? (It's a hole so there isn't any dirt in it)