the intersection of a parabola with its axis of symmetry
What is vertex?
100
Sketch a graph of y=kx and give its domain and range
What is
Graph: line with positive slope
domain: all real numbers
range: all real numbers
100
What two equations have we used to describe direct variation?
What is y=kx and y=kx^2
100
The amount of sugar needed varies directly with the amount of cupcakes you want to make. 12 cupcakes takes 1.5 cups of flour. What is the constant of variation?
What is k=8
200
function of the form y=kx^n
What is direct variation
200
Sketch a graph of y= -kx^2 and state its domain, range, and name the shape of the graph.
What is
Graph: u shape facing down
Domain: all real numbers
Range: y is less than or equal to 0
Shape: parabola
200
What two equations have we used to describe inverse variation?
What is y=k/x and y=k/x^2
200
The amount of sugar needed varies directly with the amount of cupcakes you want to make. 12 cupcakes takes 1.5 cups of flour. How many cups of sugar do I need to make 60 cupcakes?
What is 7.5 cups of sugar
300
function of the form y=k/x^n
What is inverse variation
300
Sketch a graph of and state the domain and range of the function y=k/x. Also state the name of the shape of the graph.
What is
graph: branches in quad 1 and 3
domain: x cannot equal 0
range: x cannot equal 0
shape of graph: hyperbola
300
The time that it takes me to get to school decreases as the speed that I drive increases. Is this an example of inverse or direct variation?
What is inverse variation
300
The amount of time it takes to bike to work varies inversely with the speed that you bike. It takes you 20 minutes to bike to work if you go 12 mph. What is the constant of variation?
What is k=240
400
graph of the function y=kx^2
What is parabola
400
Sketch a graph of y = k/x^2 and state its domain, range, and name the shape of the graph.
What is
graph: branches in quadrants 1 and 2
domain: x cannot equal 0
range: y>0
shape of graph: inverse square curve
400
The more hair that I have, the more shampoo I use. Is this an example of direct or inverse variation?
What is direct variation?
400
The amount of time it takes to bike to work varies inversely with the speed that you bike. It takes you 20 minutes to bike to work if you go 12 mph. How long will it take you to get to work if you bike 8 mph?
What is 30 minutes
500
when x-values are only integers; x-values cannot be fractions or decimals
What is discrete set
500
Sketch a graph of y = -k/x^2 and state its asymptotes
What is
branches in quadrants 3 and 4.
Asymptotes are the x-axis and y-axis
500
The more cookies I want to bake, the more sugar I need to use. Inverse or direct variation?
What is direct variation.
500
y varies inversely as the cube of x. If y = 50 when x = 2, what is the constant of variation?