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Transformations 100 Points n What and where would a symbol or number exist to make parabola be skinnier than normal.
Transformations 200 Points n What types of transformations are linear and what type ore geometric?
Transformations 300 Points n f(x+c) would move the function f(x) where?
Transformations 400 Points n Give the equation for the following graph
Transformations 500 Points n Describe the changes to the parent graph with the equation y=-2[x-3]+4
Symmetry 100 Points n Is the following graph symmetrical about the origin?
Symmetry 200 Points n Algebraically, how can you tell if a function is symmetrical about y-axis
Symmetry 300 Points n Show a complete graph for all five symmetries for the following graph
Symmetry 400 Points n Name five capital letters (block style) of the alphabet have line symmetry
Symmetry 500 Points n Name five regular polygons with eight or less sides that have point symmetry.
Asymptotes 100 Points n Where do you look to determine the vertical asymptotes?
Asymptotes 200 Points n A hole occurs when the equation of a function has ……………...
Asymptotes 300 Points n Name the horizontal asymptotes of the equation y=x 2 +3x-2 n x 2 +4
Asymptotes 400 Points n If a graph has asymptotes at x=-5 and x=1 with a hole at x=-1 write an equation that satisfies that
Asymptotes 500 Points n Sketch all (vertical, horizontal, and slant) asymptotes and holes for the equation y= x 2 -6x+8 n x(x-3) 2 (x-4)
Functions 100 Points n Find the inverse of y=(x+3) 4 -5
Functions 200 Points n Is the following function even, odd, or neither. n Y=5x 2 +6x-9
Functions 300 Points n Give the equation, name and sketch five parent functions
Functions 400 Points n Name the function shown below. Tell whether it is symmetrical about the origin, x-axis, y-axis, y=x, or y=-x
Functions 500 Points n Sketch y= 2 (x+3) -6 and its inverse n Is it and/or its inverse a function?
Sketching 100 Points n If f(x)= x 2, sketch f(x+3)
Sketching 200 Points n If f(x)=lxl, sketch -flxl+4
Sketching 300 Points n If f(x)=[x], sketch - 3f(x)+2i9u
Sketching 400 Points n If f(x)= x, sketch f(5x)+3
Sketching 500 Points n If f(x)=1/x, sketch f(x+5)+1
Final Jeopardy n The sine and cosine curves are functions. Tell whether each is even, odd, or neither.
1 To find the x-intercepts of y = f (x), set y = 0 and solve for x. INTERCEPTS AND ZEROS To find the y-intercepts of y = f (x), set x = 0; the y-intercept.
Polynomial Graphs. Key Points End Behavior: what the tails are doing Domain: set of all xs Range: set of all ys Roots/Zeros: where it crosses the x axis.
3.1 Symmetry & Coordinate Graphs. Point symmetry – two distinct points P and P are symmetric with respect to point M if and only is M is the midpoint.
Jeopardy What the Function?! Dome, Dome, Domain & the Range.
Advance Mathematics Objectives: Define Even and Odd functions algebraically and graphically Sketch graphs of functions using shifting, and reflection Section.
Pre-Calculus Flash Drill. See if you can identify the function that probably goes with each of these simple graphs….
Find the zeros of the following function F(x) = x 2 -1 Factor the following function X 2 + x – 2 Simplify the expression: X 2 + x – 2 x 2 – x – 6.
Inverses of Functions Part 2 Lesson 2.9. Reminder from yesterday.
INTRODUCTORY MATHEMATICAL ANALYSIS For Business, Economics, and the Life and Social Sciences 2007 Pearson Education Asia Chapter 2 Functions and Graphs.
Holt Algebra Properties of Quadratic Functions in Standard Form axis of symmetry standard form minimum value maximum value Vocabulary.
Even & Odd Functions Depending on a functions symmetry, it may be classified as even, or as odd. Depending on a functions symmetry, it may be classified.
Copyright © Cengage Learning. All rights reserved. 1.3 Graphs of Functions.
P.3: Part 2 Functions and their Graphs. Transformations on Parent Functions: y = f(x): Parent Functions y = f(x – c) y = f(x + c) y = f(x) – c y = f(x)
DirectInverseJointVariations Radical Review
Zeros: Domain: Range: Relative Maximum: Relative Minimum: Intervals of Increase: Intervals of Decrease: WARM UP.
GDC Set up Ensure that your calculator is in degree mode and that you know how to adjust the v-window of your graphs before doing these trigonometry graphs.
3.1 Derivative of a Function What youll learn Definition of a derivative Notation Relationships between the graphs of f and f Graphing the derivative from.
If you have not watched the PowerPoint on the unit circle you should watch it first. After youve watched that PowerPoint you are ready for this one. If.
Position-Time graphs. WHY GRAPH? What is the best way to describe motion of an object to somebody that did not witness it? With accuracy Can be understood.
Copyright © Cengage Learning. All rights reserved. 2.2 Polynomial Functions of Higher Degree.
Objectives: 1.To find the intercepts of a graph 2.To use symmetry as an aid to graphing 3.To write the equation of a circle and graph it 4.To write equations.
Sketching a Parabola if the x- Intercepts Exist. What do you Need to Sketch a Parabola? Can you sketch a parabola if you only know where its y- intercept.
Look at the two graphs. Determine the following: A.The equation of each line. B.How the graphs are similar. C.How the graphs are different. A.The equation.
Polynomial Functions 2.1 (M3) Make sure you have book and working calculator EVERY day!!!
2.2 Limits Involving Infinity Finite Limits as – The symbol for infinity does not represent a real number. – We use infinity to describe the behavior of.
A.A parabola is the graph of a quadratic function, which you can write in the form f(x) = ax² + bx + c, where a å 0. B.The vertex form of the quadratic.
5.3 Inverse Function. After this lesson, you should be able to: Verify that one function is the inverse function of another function. Determine whether.
Holt McDougal Algebra Using Transformations to Graph Quadratic Functions 5-1 Using Transformations to Graph Quadratic Functions Holt Algebra 2 Warm.
Graphical Transformations Vertical and Horizontal Translations Vertical and Horizontal Stretches and Shrinks.
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