Vocab
Transformations
Domain and Range
Slope
Scatterplots
100
A ________________________________ represents the trend shown by the points on a scatterplot and can be used to predict other outcomes.
best fit line
100
Describe the transformation in:
y=4|x|
Stretch, because 4 > 1
100
Domain includes all of the ______, while range includes all of the ________.
inputs, outputs
100
What are the three ways to write linear functions and what are their equations?
TRIPLE POINTS
Slope-intercept: y=mx+b
Point-slope: y-y1= m(x-x1)
Standard form: Ax + By = C
100
Describe the three types of correlations that can be seen on a scatterplot.
Positive, negative, or no correlation
200
The change in y-values divided by the change in x-values is also known as the _________________ of a line.
Slope
200
Write an equation that shows the transformations described below?
f(x) is shifted 4 units right and 2 units down
f(x-4) -2
200
What are three ways to write domain and range and what is specific to them?
DOUBLE POINTS
Set notation: written with {} and used for points not connected
Interval notation: written with [] and () and shows starting points and ending points
Inequality notation: <,>,<,> and uses interval notation points
200
What is the formula for slope?
Y2 - Y1 Divided by X2 - X2
200
What are the three steps to find an equation for a best fit line?
1. Find two points on the line
2. Find slope
3. Use point-slope form
300
The ________________________________ is a way to determine if a graph represents a function.
Vertical Line Test
300
Describe the transformations for equation y=f(x)-6 from its parent equation f(x)?
vertical shift down 6
300
Find interval notation domain and range for;
Domain: [-6, 1)
Range: (-8, 8]
300
A line passes through the point (-3, 1) and has a slope of 2/3. Write the equation of the line in Point-Slope Form.
bonus 100: write the equation in slope-intercept
y - 1 = 2/3(x + 3)
Bonus: y = 2/3x + 3
300
What are two points that could be used for an equation for the best fit line?
(30,60) (70, 10) etc.
400
An open circle on a graph indicates that you’ll need to use a ________________________________ when writing the domain or range of the given function.
parenthesis
400
Describe the two transformations in:
g(x)= |x-3|+5
Vertical shift - 5 units up
Horizontal shift - 3 units right
400
Find set notation domain and range for the ordered pairs:
(-7,4) (9,-5) (4,0) (2,2)
Domain: {-7, 2, 4, 9}
Range: {-5, 0, 2, 4}
400
Find the equation of the line that contains the points (-4, -4) and (4, 2). Write your answer in Point-Slope Form using the ordered pair (4, 2).
Bonus 100: turn your equation into slope-intercept form.
y - 2 = 3/4(x-4)
Bonus: y= 3/4x - 1
400
When making a line of best fit, try to have...
the same number of points above and below the line
500
A ________________________________ is a type of data display that shows the relationship between two variables.
scatterplot
500
Write an example of a function that has a reflection and shrink transformation.
f(x) = -0.5(x)2
500
Find interval notation domain and range for;
Domain: (-∞, ∞)
Range: (-∞, ∞)
500
When is the slope of a line positive? Negative? Zero? Undefined?
zero is horizontal
undefined is vertical
positive is rising
negative is falling
500
What type of correlation does this scatterplot have?
positive correlation