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Write equation or Describe Transformation
Write the effect on the graph of the parent function down 1 unit1 2 3 Stretch by a factor of 2 right 1 unit Compressed by a factor of left 5units up 4 units
Write the effect on the graph of the parent function Reflection over x-axis 4 left 3 units 5 6 Reflection over x-axis left 4 units Up 5 units Compressed by a factor of Down 6 units
Write the equation for the following Start with 1 2 Shift 2 units right and 4 units up Reflect over x-axis, compress by factor of shift down 3 units
Write the equation for the following Start with 1 2 Shift 3 units left and 2 units down Reflect over x-axis, shift up 3 units
Write the equation for the following Start with 1 2 Reflect over x-axis, Stretch by factor of 3 Move right 2 units Shift down 4 units shift up 3 units
Write an equation from the given graph. Identify the Domain and Range. 1 domain range All real numbers
Write an equation from the given graph. Identify the Domain and Range. 2 domain range
Write an equation from the given graph. Identify the Domain and Range. 3 domain range
1.4 – Shifting, Reflecting, and Stretching Graphs
Order of function transformations
Unit 7 – Rational Functions Topic: Transformations of the Rational Parent Function.
Your Transformation Equation y = - a f(-( x ± h)) ± k - a = x-axis reflection a > 1 = vertical stretch 0 < a < 1 = vertical compression -x = y-axis reflection.
Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 6 Quadratics Translating Graphs #2.
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Section 2.5 Transformations of Functions. Overview In this section we study how certain transformations of a function affect its graph. We will specifically.
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With Ms. Fleming $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.
Unit 3 Functions (Linear and Exponentials)
1 Transformations of Functions SECTION Learn the meaning of transformations. Use vertical or horizontal shifts to graph functions. Use reflections.
Transformation of Functions Section 1.6. Objectives Describe a transformed function given by an equation in words. Given a transformed common function,
Transforming reciprocal functions. DO NOW Assignment #59 Pg. 503, #11-17 odd.
Create a table and Graph:. Reflect: Continued x-intercept: y-intercept: Asymptotes: xy -31/3 -21/2 1 -1/22 xy 1/ /2 3-1/3.
Name That Graph…. Parent Graphs or Base Graphs Linear Quadratic Absolute Value Square Root Cubic Exponential Math
Quadratic Functions Unit Objectives: Solve a quadratic equation. Graph/Transform quadratic functions with/without a calculator Identify function attributes:
6.5 - Graphing Square Root and Cube Root
3.6 Warm Up Find the initial point, state the domain & range, and compare to the parent function f(x) = √x. y = 3√x – 1 y = -1/2√x y = - √(x-1) + 2.
3.6 Graph Rational Functions Part II. Remember Rational functions have asymptotes To find the vertical asymptote, set the denominator = 0 and solve for.
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