chapter 7 conic sections and parametric … 7 “conic sections and parametric equations ... section...

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CHAPTER 7 CONIC SECTIONS AND PARAMETRIC EQUATIONSSection 7.1 Parabolas Graph and write equations of parabolas (vertex, focus and directrix) Section 7.2 Ellipses and Circles Graph and write equations of ellipses (center, vertices, co-vertices and foci) Graph and write equations of circles (center and 4 key points) Midpoint Formula Distance Formula Section 7.3 Hyperbolas Graph and write equations of hyperbolas (center, vertices, foci and asymptotes) CHAPTER 1 “FUNCTIONS FROM A CALCULUS PERSPECTIVE” Section 1.1 “Functions” Set Builder and Interval Notations Relations, Domain, Range, Functions, Vertical Line Test Function Notation, Evaluating Functions including Piecewise, Difference Quotient Find domain of functions and express using interval notation Section 1.2 “Analyzing Graphs of Functions and Relations” Domain and Range y-intercept and zeros Symmetry Tests (x-axis, y-axis and origin) Type of Function (even, odd or neither) Section 1.3 “Continuity, End Behavior, and Limits” Continuous vs. Discontinuous End Behavior Section 1.4 “Extrema and Average Rates of Change” Describe intervals in which a function is increasing, decreasing and/or constant Extrema (Absolute Minimum/Maximum and Relative Minimum/Maximum) Solving word problems involving Quadratic Functions Average Rate of Change Section 1.5 “Parent Functions and Transformations” Identify, graph and describe parent functions Greatest Integer Function Horizontal and Vertical Translations Reflections over x- and y- axes Horizontal and Vertical Dilations Absolute value of x or f(x) Piecewise Functions

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Page 1: CHAPTER 7 CONIC SECTIONS AND PARAMETRIC … 7 “CONIC SECTIONS AND PARAMETRIC EQUATIONS ... Section 7.3 “Hyperbolas” ... Symmetry Tests (x-axis,

CHAPTER 7 “CONIC SECTIONS AND PARAMETRIC EQUATIONS”

Section 7.1 “Parabolas”

Graph and write equations of parabolas (vertex, focus and directrix)

Section 7.2 “Ellipses and Circles”

Graph and write equations of ellipses (center, vertices, co-vertices and foci)

Graph and write equations of circles (center and 4 key points)

Midpoint Formula

Distance Formula

Section 7.3 “Hyperbolas”

Graph and write equations of hyperbolas (center, vertices, foci and asymptotes)

CHAPTER 1 “FUNCTIONS FROM A CALCULUS PERSPECTIVE”

Section 1.1 “Functions”

Set Builder and Interval Notations

Relations, Domain, Range, Functions, Vertical Line Test

Function Notation, Evaluating Functions including Piecewise, Difference Quotient

Find domain of functions and express using interval notation

Section 1.2 “Analyzing Graphs of Functions and Relations”

Domain and Range

y-intercept and zeros

Symmetry Tests (x-axis, y-axis and origin)

Type of Function (even, odd or neither)

Section 1.3 “Continuity, End Behavior, and Limits”

Continuous vs. Discontinuous

End Behavior

Section 1.4 “Extrema and Average Rates of Change”

Describe intervals in which a function is increasing, decreasing and/or constant

Extrema (Absolute Minimum/Maximum and Relative Minimum/Maximum)

Solving word problems involving Quadratic Functions

Average Rate of Change

Section 1.5 “Parent Functions and Transformations”

Identify, graph and describe parent functions

Greatest Integer Function

Horizontal and Vertical Translations

Reflections over x- and y- axes

Horizontal and Vertical Dilations

Absolute value of x or f(x)

Piecewise Functions