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18. 5The parent function = is graphed in light gray. What is the equation of the transformed curve? 19. Consider the logarithmic parent function =log . Suppose the function is shifted 2 units up and 3 units to the right. What is the equation of the transformed function? 20. Consider the even power parent function = 6. Write an equation for a ...

10 Basic Parent Functions Parent Function Graph Graph = Linear, Odd Domain: (−∞,∞) Range: (−∞,∞) End Behavior: x → − ∞, y → − ∞ x → ∞, y → ∞

For problems 10 – 14, given the parent function and a description of the transformation, write the equation of the transformed function, f(x). 10. Absolute value—vertical shift down 5, horizontal shift right 3. _____ 11. Linear—vertical shift up 5. ... Parent Function Worksheet 1 Author:

Given the parent function and a description of the transformation, write the equation of the transformed function, f(x). 5. Absolute value—vertical shift up 5, horizontal shift right 3. _____ 6. Square root — horizontal shift right 2, vertical shift down 1. ... Parent Function Worksheet 1 Author: ggizzi Created Date:

# 7- 14 Draw the basic graph for the parent function. 7. h(x) = 1 5 x 9. g(x) = log2(𝑥+1) 11. h(x) = - x2 + 1 13. (𝑥)=4𝑥−1+2 8. f(x) = 3 4 x 10. h(x) = 6 (x + 9) 2 12. h(x) = x 2 14. ) (𝑥=2𝑥+1 #15 – 22 Given an example of an equation represented by the following family of functions. (Do not use any of the examples from #1 -14!)

The graph of p is the graph of the parent function fl ipped over the x-axis. So, the graph of p(x) = −x2 is a refl ection in the x-axis of the graph of the parent quadratic function. SELF-ASSESSMENT 1 I don’t understand yet. 2 I can do it with help. 3 I can do it on my own. 4 I can teach someone else. Graph the function and its parent function.

Identify the parent function and describe the transformations. Given the parent function and a description of the transformation, write the equation of the transformed function!". Use the graph of parent function to graph each function. Find the domain and the range of the new function. 5. Parent :! "=( +)&! "=& Transformation: Translated 4 ...

WORKSHEET 1.2 – Parent Functions and Transformations Name: _____ Hour: _____ Date: _____ SECTION 1: State which function family ... SECTION 3: Describe the transformation that took place from the parent function to each function listed below. Be specific. 9) f ...

Worksheet P.2—Parent Functions & Transformations Without a calculator, set up the equation for, then sketch the graph of each of the following functions gx() using any (or all) of the functions from the Catalog of Parent Functions. Be sure to show the important information like asymptotes, intercepts, and discontinuities. State the Domain and ...

Translations on Parent Functions Name_____Period_____ Give the name of the parent function and describe the translation made. Graph BOTH the transformed function and the parent function. 1. (𝑥)=𝑥2−6 Parent:_____ ...

Is It Linear, Quadratic, or Neither? 15. 16. 17. 44 Name the Parent Function. List the transformations. Graph each equation. 18. y 2

Parent Function Homework: due next class # 1- 7 Name of the parent function for each of the following equations. 1. 4. – 2. 21x 3. x 2 5. 1 x 6 6. # 7- 12 Name ... Parent Function Worksheet 1 Author: HUMBLE ISD Created Date: 8/20/2013 8:36:40 PM ...

Worksheet 2.4—Parent Functions & Transformations Show all work on a separate sheet of paper. Give simplified, exact values for all answers. No Calculator is Permitted unless specifically stated. I. Multiple Choice _____1. Give a function f, which of the following represents a horizontal stretch by a factor of 3? (A) yf x 3 (B) 1 3 yf x ...

Parent Functions “Cheat Sheet” 20 September 2016 Function Name Parent Function Graph Characteristics Algebra Constant B : T ; L ? Domain: (∞, ∞) Range: [c, c] Inverse Function: Undefined (asymptote) Restrictions: c is a real number Odd/Even: Even General Form: # U E $ L0 Linear or Identity

The Six Parent Functions PART I: Parent Functions and FAMILIES What is a Parent Function: Linear – Relations between….. Quadratic – Vertical Motion, Path of flying objects yx yx 2 Absolute Value - Distance Exponential – Population and Monetary Growth, Decay yx y 2x Square Root – Diameter of a steel cable to support Cubic – Volume ...

Parent Functions and the Graphs Matching Activity Linear Functions Polynomial (QUADRATIC) Functions Radical (SQUARE ROOT) Functions Absolute Value Functions Equation of Parent Function: Graph 1: Graph 2: Real World Example: Polynomial (CUBIC) Functions Radical (CUBIC ROOT) Functions

parents. Well, functions have family bonds too. Functions look a lot like their parent function. Vocabulary family of functions – 8a set of functions whose graphs have basic characteristics in common. parent function – the most basic function in a family; strip away all coefficients, negative signs, constants, etc you get the parent function.

For problems 8 – 12, given the parent function and a description of the transformation, write the equation of the transformed function, f(x). 8. Absolute value—reflect over the x-axis, translate up 5, and right 3. _____ 9. Cube root—vertical stretch/compression by 2 5, reflect over the y-axis._____ 10.

1.3 Parent Functions Copy the parent functions, and then analyze them. 1. The Identity Function f ()xx Domain Range Inc/Dec/Con Positive/Negative/Zero Continuity Boundedness -2 Symmetry Extrema -Asymptotes End Behavior 2. The Squaring Function f ()xx 2 Domain Range Inc/Dec/Con Positive/Negative/Zero