# Linear Functions

by
**austincalore**

Last updated 7 years ago

** Discipline: **

Math ** Subject: **

Algebra I

Parent function graph: Domain: (-∞,∞) Range: (-∞,∞) End behavior: as x goes to ∞ , y goes to ∞. As x goes to -∞ , y goes to -∞ Transformed graph: Domain: (-∞,∞) Range: (-∞,∞) End behavior: as x goes to ∞ , y goes to ∞. As x goes to -∞ , y goes to -∞.

Horizontal shift left, stretch by 3

Equation: y=x

Parent function

Transformed Graph: 3x+5

Graphs

General form: Ax + By = CReal life application: Cell phone plan; you pay $150 dollars to get the phone, and then pay $40 dollars each month for texting and calling plus data.The slope is the number m in the y = mx + b telling you how much you go up/down and left/right in the line of the graph.A positive slope makes the line start from the left and go to the right. A negative slope makes the line start from the right and go to the left. A zero slope makes the line go straight across.An undefined slope makes the line go straight up.three forms of a linear equation:slope-intercept: mx +bpoint-slope: y - y1 = m(x - x1)intercept form of a quadratic equation: Ax + By = CThey all form the same line but are just different ways to do it.Parallel: both equations have the same slope.Perpendicular: the lines' slopes are recipricals of each other.

Positive slope

Negative slope

Zero slope

Undefined slope

Section 2:

Linear Functions

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