Algebra 1 - 3.4-3.7

y-intercept

the y-coordinate of a point where the graph crosses the y-axis.

slope

The rate of change between any two points on a line.

x-intercept

The x-coordinate of a point where the graph crosses the x-axis.

transformation

A change in the size, shape, position, or orientation of a graph.

family of functions

A group of functions with similar characteristics.

constant function

A linear equation written in the form y=0x+b or y=b.

slope-intercept form

A linear equation written in the form y=mx+b.

vertical shrink

A transformation that causes the graph of a function to shrink toward the x-axis.

horizontal shrink

A transformation that causes the graph of a function to shrink toward the y-axis.

vertical stretch

A transformation that causes the graph of a function to stretch away from the x-axis.

horizontal stretch

A transformation that causes the graph of a function to stretch away from the y-axis.

reflection

A transformation that flips a graph over a line called the line of reflection.

translation

A transformation that shifts a graph horizontally and /or vertically but does not change the size, shape, or orientation of the graph.

direct variation

An equation of the form y=ax.

zero of a function

An x-value of a function f for which f(x)=0.

standard form

Ax + By = C

run

The change in x between any two points on the line.

rise

The change in y between any two points on the line.

constant of variation

The constant a in the direct variation equation y=ax.

parent function

The most basic function in a family of functions.