Algebra 2 1.2 - 1.4 Flashcards
The ________ is the most basic function in a family of functions.
parent function
A ___________ changes the size, shape, position, or orientation of a graph.
transformation
A __________ is a transformation that shifts a graph horizontally and/or vertically, but does not change its size.
translation
A _____________ is a transformation that flips a graph over a line or axis.
reflection
A __________ is a transformation that multiplies all the y-coordinates of a function by a factor greater than one.
vertical stretch
A ___________ is a transformation that multiples all the y-coordinates of a function by a factor greater than zero but less than one.
vertical shrink
The __________ is the line that lies as close as possible to a set of data points.
line of best fit
The ______________, denoted by r, is a number from -1 to 1 that measures how well a line fits a set of data points. WHen r is near 1, the points lie close to the line with a positive slope. When r is near -1, the points lie close to a line with a negative slope. When r is near zero, the points do not lie close to any line.
correlation coefficient
For (x1,y1) and (x2,y2); m=y2-y1/x2-x1
Slope Formula
y=mx+b; m=slope b=y-intercept
Slope-Intercept Form
Given slope m and a point (x1-y1): y-y1=m(x-x1)
Point-Slope Form