Lesson 4-10 Transforming Linear Function

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Lesson 4-10 Transforming Linear Function Obj: The student will be able to describe how changing slope and y-intercept affect the graph of a linear function HWK Vocab: 1) family of functions 2) parent function 3) transformation 4) translation 5) rotation 6) reflection

Vertical Translations of a Linear Function When the y-intercept b is changed in the function y = mx + b, the graph is translated vertically. * if b increases, the graph is translated up * if b decreases, the graph is translated down

Rotation of a Linear Function When the slope m is changed in the function f(x) = mx + b it causes a rotation of the graph about the point (0, b) which changes the line’s steepness.

Reflection of a Linear Function When the slope m is multiplied by -1 in f(x) = mx + b the graph is reflected across the y-axis