Exam 60: Introduction to Conics Parabolas

Find the equation of the parabola with vertex at (1,5)and focus at (-5,5).

(Multiple Choice)

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Question 121

Find the standard form of the equation of the parabola with the given characteristics. Vertex: $( 1,2 )$ ;directrix: $y = - 2$

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Question 122

The equations of a parabola and a tangent line to the parabola are given.Select the correct graph of both equations in the same viewing window. Parabola: $y ^ { 2 } - 24 x = 0$ Tangent Line: $x - y + 6 = 0$

(Multiple Choice)

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Question 123

Sketch the graph of the ellipse,using the lateral recta. $16 x ^ { 2 } + 4 y ^ { 2 } = 64$

(Multiple Choice)

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Question 124

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Exam 60: Introduction to Conics Parabolas

Find the equation of the parabola with vertex at (1,5)and focus at (-5,5). ​

Find the standard form of the equation of the parabola with the given characteristics. ​ Vertex: (1,2)( 1,2 )(1,2) ;directrix: y=−2y = - 2y=−2 ​

The equations of a parabola and a tangent line to the parabola are given.Select the correct graph of both equations in the same viewing window. ​ Parabola: y2−24x=0y ^ { 2 } - 24 x = 0y2−24x=0 Tangent Line: x−y+6=0x - y + 6 = 0x−y+6=0 ​

Sketch the graph of the ellipse,using the lateral recta.​ 16x2+4y2=6416 x ^ { 2 } + 4 y ^ { 2 } = 6416x2+4y2=64 ​

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Ellipses

Hyperbolas

Rotation of Conics

Parametric Equations

Polar Coordinates

Polar Equations of Conics

Graphs of Polar Equations

Filters

Find the equation of the parabola with vertex at (1,5)and focus at (-5,5).

Find the standard form of the equation of the parabola with the given characteristics. Vertex: $( 1,2 )$ ;directrix: $y = - 2$

The equations of a parabola and a tangent line to the parabola are given.Select the correct graph of both equations in the same viewing window. Parabola: $y ^ { 2 } - 24 x = 0$ Tangent Line: $x - y + 6 = 0$

Sketch the graph of the ellipse,using the lateral recta. $16 x ^ { 2 } + 4 y ^ { 2 } = 64$