Parabola - Study guides, Class notes & Summaries

PRECALCULUS Study Questions with Answers Rational Number - Answer--any number that is a real number that can be written ass a terminating or repeating decimal Irrational Number - Answer--real number that cannot be written as a terminating or repeating decimal (square root of 5) Quadratic Formula - Answer--b±[√b²-4ac]/2a Factoring Cubes - Answer-a^3+b^3=(a+b) (a^2-ab+b^2) -if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2) Discriminant - Answer--for quadratic expression, the d...

axis of symmetry A line about which a figure is symmetric; in a parabola, it is perpendicular to the directrix and passes through the focus. center of a circle The point inside the circle that is the same distance from all of the points on the circle. 00:31 01:28 circle The set of points in a plane that are a fixed distance from a given point. conic section A figure that is formed when a plane intersects a double-napped right cone. directrix A specific ...

Algebraic Expression : A mathematical sentence that includes at least one operation and a variable Variable : A letter used to represent one or more numbers Y-intercept : Where the line crosses the y axis X-intercept : The x-coordinate of a point where a graph crosses the x-axis Y=mx+b : Slope-intercept formula Solve using substitution: 3x+2y=8, y=4 : (0,4) 2 | P a g e y-y1=m(x-x1) : Point-Slope Formula y2-y1/x2-x1 : Slope Formula Find the slope: 16-8/6-2 : M=2 Parabola : A p...

Test Bank for Precalculus, 12th Edition by Michael Sullivan. Complete chapters are included with answers. Exam Guide 1. Graphs 1.1 The Distance and Midpoint Formulas 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry 1.3 Lines 1.4 Circles Chapter 1 Review, Test, and Projects 2. Functions and Their Graphs 2.1 Functions 2.2 The Graph of a Function 2.3 Properties of Functions 2.4 Library of Functions; Piecewise-defined Functions 2.5 Graphing Techniques: Transformations 2...

up Which way does this parabola open? x² = 12y down Which way does this parabola open? (x + 1)² = -8(y - 3) 00:04 01:28 right Which way does this parabola open? y² = 8x left Which way does this parabola open? (y - 3)² = -4(x + 1) (1, 2) What is the vertex of this parabola? (x - 1)² = 8(y - 2)² (1, -2) What is the vertex of this parabola? (x - 1)² = -12(y + 2) (-1, 2) What is the vertex of this parabola? (y - 2)² = 4(x + 1)...

Equation of a cricle (x-h)^2 + (y - k)^2 = r^2 Equation of a parabola (vertical) y - k = (1/4p)(x - h)^2 00:01 01:28 Equation of a parabola (horizontal) x - h = (1/4p)(y - k)^2 Focus A fixed point in the parabola DIrectrix A fixed line outside of the parabola Definition of a Circle The set of all points in a plane at a certain positive distance (radius) from a certain point (center) Definition of a Parabola The set of points equidistant ...

MAE 284 Final exam UPDATED ACTUAL Exam Questions and CORRECT Answers The parabolic interpolation method is based on fitting a parabola to three points on the function. - CORRECT ANSWER- True The golden section method helps to minimize computational costs in finding a maximum/minimum. - CORRECT ANSWER- True The key benefit to the golden section method is that we do not have to calculate both x1 and x2 at each iteration. - CORRECT ANSWER- Tru

STEM 307- Pre - Calculus (Midterms) Questions And Answers Conic Sections - ANS-'conics', means taking cross sections of a cone, is formed when a plane intercepts a double - napped right circular cone Generator - ANS-A line on the cone Vertex - ANS-only point where the generators meet Vertical Axis - ANS-vertical line passing through the vertex Directix - ANS-perimeter of the base of the cone Nappe - ANS-lateral surface of a cone Vertical Angle - ANS-angle between the generator and the...

Mid Semester Exam 1. Express the equation of the ellipse 4x2 + y2 – 8x + 4y + 4 = 0 in the standard form. Hence, determine the coordinates of the centre and the vertices on the major axis. (2006/2007) 2. A Circle with centre (5, 8) touches the y-axis and passes through the point (2, y). Find the general equations of the circle. Determine the possible values of y. (2006/2007) 3. Given the circle C1 : x2 + y2 – 10x + 18y + 70 = 0 and C2 : x2 + y2 – 6y – 7 = 0. ...

Multiplication Identify Property - The product of 1 and any number is that number Closure Property of Multiplication - Any two rational numbers' product will be a rational number EX: (3/2) X (2/9) = 1/3 Multiplicative Property of Reciprocals - You multiply a number by its reciprocal, the product will be 1 Associative Property of Multiplication - The product of three or more numbers remains the same regardless of how the numbers are grouped Equation of a Parabola - ...