University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2022
Views:

184

Pages:

2
Author:

DrieniHooloki9

Pre-Calculus/Trig 3 UNIT 3: Exponential & Logarithmic Functions – SECTION 2 WORKSHEET Name: _________________________ Date: _________________________ EXPONENTIAL FUNCTIONS & THEIR GRAPHS Directions: Using the parent graph of 𝑓(𝑥) = 4𝑥 , describe the transformations of each function. 1.) 𝑓(𝑥) = −2(4)𝑥+3 − 5 LEFT 3 DOWN 5 Reflect over 𝒙-axis Vertical Stretch 1 4.) 𝑓(𝑥) = 42𝑥−2 + 3 RIGHT 4 UP 3 Horizontal Stretch 2.) 𝑓(𝑥) = 42𝑥+6 + 2 LEFT 3 UP 2 Horizontal Shrink 1 1 5.) 𝑓(𝑥) = 3 (4)3𝑥+3 − 4 LEFT 9 DOWN 4 Vertical Shrink 3.) 𝑓(𝑥) = 4−3𝑥+12 + 1 RIGHT 4 UP 1 Reflect over 𝒚-axis Horizontal Shrink 6.) 𝑓(𝑥) = −4−2𝑥+4 + 7 RIGHT 2 UP 7 Reflect over 𝒙 & 𝒚-axis Horizontal Shrink Directions: Using the parent graph of 𝑓(𝑥) = 𝑒 𝑥 , describe the transformations of each function. 1 2 7.) 𝑓(𝑥) = 𝑒 2𝑥+8 − 9 LEFT 4 DOWN 9 Vertical Shrink Horizontal Shrink 1 10.) 𝑓(𝑥) = 𝑒 4𝑥+1 − 3 LEFT 4 DOWN 3 Horizontal Stretch 1 8.) 𝑓(𝑥) = −𝑒 2𝑥+4 − 1 LEFT 8 DOWN 1 Reflect over 𝒙-axis Horizontal Stretch 11.) 𝑓(𝑥) = 2𝑒 𝑥−5 − 10 RIGHT 5 DOWN 10 Vertical Stretch 9.) 𝑓(𝑥) = 4𝑒 −𝑥+3 − 8 RIGHT 3 DOWN 8 Reflect over 𝒚-axis Vertical Stretch 12.) 𝑓(𝑥) = 𝑒 3𝑥−6 + 4 RIGHT 2 UP 4 Horizontal Shrink Directions: Compare each graph to 𝑓(𝑥) = 2𝑥 . Write the equation as well as a description of each transformation. EQUATION EQUATION EQUATION 𝒇(𝒙) = 𝟐𝒙+𝟐 − 𝟑 𝒇(𝒙) = −𝟐𝒙−𝟐 + 𝟓 𝒇(𝒙) = 𝟐𝒙−𝟏 − 𝟒 DESCRIPTION DESCRIPTION DESCRIPTION LEFT 2 DOWN 3 RIGHT 2 UP 5 Reflect over 𝒙-axis RIGHT 1 DOWN 4 Directions: Compare each graph to 𝑓(𝑥) = 2𝑥 . Write a description of each transformation and graph each function. EQUATION EQUATION EQUATION 𝑓(𝑥) = 2𝑥+2 − 5 𝑓(𝑥) = 2𝑥−2 + 1 𝑓(𝑥) = −2𝑥−3 + 3 DESCRIPTION DESCRIPTION DESCRIPTION LEFT 2 RIGHT 2 DOWN 5 UP 1 RIGHT 3 UP 3 Reflect over 𝒙-axis Directions: Compare each graph to 𝑓(𝑥) = 2𝑥 . Write the equation and graph each function. EQUATION EQUATION EQUATION 𝒇(𝒙) = 𝟐𝒙−𝟑 − 𝟑 𝒇(𝒙) = −𝟐𝒙−𝟑 + 𝟒 𝒇(𝒙) = −𝟐𝒙+𝟏 + 𝟐 DESCRIPTION DESCRIPTION DESCRIPTION An exponential function shifted horizontally to the right 3 units and shifted vertically down 3 units. An exponential function shifted An exponential function shifted horizontally to the right 3 units, horizontally to the left 1 unit, shifted shifted vertically up 4 units and vertically up 2 units, and reflected reflected over the 𝑥-axis. over the 𝑥-axis.