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0. Review of Algebra(0)

Algebraic Expressions
(0)

Exponents
(0)

Polynomials Intro
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Multiplying Polynomials
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Factoring Polynomials
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Radical Expressions
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Simplifying Radical Expressions
(0)

Rationalize Denominator
(0)

Rational Exponents
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1. Equations & Inequalities(0)

Linear Equations
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Rational Equations
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The Imaginary Unit
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Powers of i
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Complex Numbers
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Intro to Quadratic Equations
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The Square Root Property
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Completing the Square
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The Quadratic Formula
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Choosing a Method to Solve Quadratics
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Linear Inequalities
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2. Graphs of Equations(0)

Graphs and Coordinates
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Two-Variable Equations
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Lines
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3. Functions(0)

Intro to Functions & Their Graphs
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Common Functions
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Transformations
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Function Operations
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Function Composition
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4. Polynomial Functions(0)

Quadratic Functions
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Understanding Polynomial Functions
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Graphing Polynomial Functions
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Dividing Polynomials
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Zeros of Polynomial Functions
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5. Rational Functions(0)

Introduction to Rational Functions
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Asymptotes
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Graphing Rational Functions
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6. Exponential & Logarithmic Functions(0)

Introduction to Exponential Functions
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Graphing Exponential Functions
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The Number e
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Introduction to Logarithms
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Graphing Logarithmic Functions
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Properties of Logarithms
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Solving Exponential and Logarithmic Equations
(0)

7. Systems of Equations & Matrices(0)

Two Variable Systems of Linear Equations
(0)

Introduction to Matrices
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Determinants and Cramer's Rule
(0)

Graphing Systems of Inequalities
(0)

8. Conic Sections(0)

Introduction to Conic Sections
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Circles
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Ellipses: Standard Form
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Parabolas
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Hyperbolas at the Origin
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Hyperbolas NOT at the Origin
(0)

9. Sequences, Series, & Induction(0)

Sequences
(0)

Arithmetic Sequences
(0)

Geometric Sequences
(0)

10. Combinatorics & Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

8. Conic Sections

Ellipses: Standard Form

8. Conic Sections

Ellipses: Standard Form: Video e Problemi di Pratica

Videolezioni Pratica Foglio di lavoro

43 problemi

Tipi di problemi che vuoi esercitarti:

Problema 1Scelta multipla

Work out the standard form of the ellipse equation, given the following conditions.

Vertices: (0, - 9) and (0, 9)

Passes through the point: (12, 3)

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Problema 2Scelta multipla

Without completing the square, determine the given equation.

25x² +4y² +150x - 8y +129 = 0

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Problema 3Scelta multipla

Find the equation of the ellipse with the following properties. Express your answer in standard form.

Major axis vertical length = 14; length of minor axis = 6; center: (-1, 2)

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Problema 4Scelta multipla

Find the equation of the ellipse with the following properties. Express your answer in standard form.

Major axis horizontal length = 22; length of minor axis = 18; center: (0, 0)

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Problema 5Scelta multipla

Find the equation of the ellipse with the following properties. Express your answer in standard form.

Foci: (-5, 0), (5, 0); y-intercepts: -6 and 6

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Problema 6Scelta multipla

Find the equation of the ellipse with the following properties. Express your answer in standard form.

Foci: (0, -2), (0, 2); vertices: (0, −8), (0, 8)

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Problema 7Scelta multipla

Find the equation of the ellipse with the following properties. Express your answer in standard form.

Foci: (-3, 0), (3, 0); vertices: (-6, 0), (6,0)

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Problema 8Scelta multipla

An ellipse has a major axis that is vertical with a length of 10. The length of its minor axis is 6 and its center is (2,-4). What is the standard form of its equation?

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Problema 9Scelta multipla

An ellipse has vertices at (-8,0) and (8,0). Its foci are (-3, 0) and (3, 0). What is the standard form of its equation?

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Problema 10Scelta multipla

Sketch the graph of the ellipse defined by x²/49 + y²/16 = 1 and determine its foci.

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Problema 11Scelta multipla

Sketch the graph of the ellipse defined by y²/64 + x²/25 = 1 and determine its foci.

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Problema 12Scelta multipla

Sketch the graph of the ellipse defined by 4x²+ 25y²+ 24x - 50y - 39 = 0 and determine its foci.

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Problema 13Scelta multipla

Graph the following ellipse and determine its foci: x²/36 + y²/9 = 1

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Problema 14Scelta multipla

Graph the following ellipse and determine its foci: x²/4 + y²/64 = 1

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Problema 15Scelta multipla

Graph the following ellipse and determine its foci: x²/16 + y²/49 = 1

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Problema 16Scelta multipla

Graph the following ellipse and determine its foci: x²/36 + y²/100 = 1

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Problema 17Scelta multipla

Graph the following ellipse and determine its foci: x²/(25/4) + y²/(49/4) = 1

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Problema 18Scelta multipla

Graph the following ellipse and determine its foci: y² = 1 - 16x²

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Problema 19Scelta multipla

Graph the following ellipse and determine its foci: 196x² + 16y² = 3136

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Problema 20Scelta multipla

Graph the following ellipse and determine its foci: 25x² + 81y² = 2025

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Problema 21Scelta multipla

Graph the following ellipse and determine its foci: 10y² = 30 - 3x²

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Problema 22Scelta multipla

The graph of the ellipse is given below. Find its standard equation and the coordinates of the foci.

Graph of an ellipse with labeled foci at (5,0) and (-5,0) and vertices at (0,3) and (0,-3).

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Problema 23Scelta multipla

The graph of the ellipse is given below. Find its standard equation and the coordinates of the foci.

Graph of an ellipse with labeled foci and axes, illustrating standard form.

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Problema 24Scelta multipla

The graph of the ellipse is given below. Find its standard equation and the coordinates of the foci.

Graph of an ellipse with labeled foci and coordinates in a Cartesian plane.