DO NOW WRITE THE EQUATION FOR THE FOLLOWING

DO NOW WRITE THE EQUATION FOR THE FOLLOWING GRAPHS BASED ON THEIR PARENT FUNCTION. Red is the parent function y=|x| Blue is the parent function y=x

APPENDIX D GRAPHING TECHNIQUES DAY 2 OBJECTIVE: SWBAT REVIEW GRAPHING TECHNIQUES OF STRETCHING & SHRINKING, REFLECTING, SYMMETRY AND TRANSLATIONS.

REFLECTION, STRETCHES AND SHRINKS THE GRAPH OF G(X) = A * F(X) HAS THE SAME GENERAL SHAPE AS THE GRAPH OF F(X). IF A > 1, THE RESULT IS A VERTICAL STRETCH (NARROWER) COMPARED TO THE GRAPH OF F(X). STRETCH=TALLER=SKINNIER IF 0 < A < 1, THE RESULT IS A VERTICAL SHRINK (WIDER) COMPARED TO THE GRAPH OF F(X). SHRINK=SHORTER=WIDER IF A = – 1, THE RESULT IS A REFLECTION IN THE X AXIS.

GRAPH Y = 2|X|. DESCRIBE THE TRANSFORMATION FROM Y=|X|.

GRAPH Y = 0. 5|X|. DESCRIBE THE TRANSFORMATION FROM Y=|X|.

GRAPH Y = – 2|X|. DESCRIBE THE TRANSFORMATION FROM Y=|X|.

REFLECTIONS • H(X)= - F(X) REFLECTS ACROSS THE X AXIS. • MULTIPLY TO ENTIRE FUNCTION • H(X)= F(-X) REFLECTS ACROSS THE Y AXIS. • CHANGE CURRENT X TO –X ONLY IF IT HAPPENS OUTSIDE THE FUNCTION, REFLECTS ACROSS THE X AXIS. IF IT HAPPENS INSIDE THE FUNCTION, REFLECTS ACROSS THE Y AXIS.

WRITE A NEW FUNCTION WITH THE FOLLOWING: •

DESCRIBE THE FOLLOWING TRANSFORMATIONS FROM THEIR PARENT • FUNCTIONS

Homework: Stretches and Shrinks Worksheet # 13, 15, 23, 25, 26