Parabolas - Study guides, Class notes & Summaries

what is the equation for a circle in standard form? (x-h)^2 + (y-k)^2 = r^2 how do you find the center of a circle when the question is given to you in standard form? change the signs of the x and the y and put it in parentheses Ex: Q: (x+3)^2 + (y-1)^2 = 81 A: (-3, 1) 00:01 01:28 how do you find the radius of a circle when the question is given to you in standard form? take the number after the = and square root it how do you put an equation in standard for...

1. Whole Numbers 1.1 Introduction to Whole Numbers 1.2 Adding and Subtracting Whole Numbers; Perimeter 1.3 Multiplying and Dividing Whole Numbers; Area 1.4 Exponents, Variables, and Algebraic Expressions 1.5 Rounding and Estimating; Square Roots 1.6 Order of Operations 1.7 More with Equations and Problem Solving 2. Integers 2.1 Integers and the Number Line 2.2 Adding Integers 2.3 Subtracting Integers 2.4 Multiplying and Dividing Integers 2.5 Order of Operations; Averages 2.6 So...

2 What is p in this equation? (x-2)²=8(y+4) -4 What is p in this equation? (y+1)²= -16(x+3) 00:22 01:28 3 What is p in this equation? y²=12(x-1) (2, -4) What is the vertex of this parabola? (x-2)²=8(y+4) (-3,-1) What is the vertex of this parabola? (y+1)²= -16(x+3) (1,0) What is the vertex of this parabola? y²=12(x-1) parabola What shape does this equation represent? y² - 10x + 8y + 46 = 0 circle What shape does this equat...

What is the equation for a circle? (x - h)^2 + (y - k)^2 = r^2 What is the midpoint formula? x1+x2/2 ; y1+y2/2 00:03 01:28 How do you know you are going to Graph a circle? If addition and if the coefficients are the same. How do you get the equation of a circle if it is not in standard form? Group the x and y's together then complete the square. How do you complete the square? Divide the middle coefficient by 2 and square it. Then add it to both sides ...

Circle A set of all points in a plane equidistant from a given point on a plane Center The given point that is equidistant from all points on a circle 00:02 01:28 Radius Any segment whose endpoints are the center and a point on the circle (x−h)²+(y−k)²=r² Standard form equation for a circle Group the same variables together and complete the square If given a circle equation, such as x²+y²−4x−16y+64, how would you get it to standard form? ...

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 ...

Circle A defined as a set of points that are equidistant (the same distance) from a certain point Hyperbola the set of points in a plane whose distances to two fixed points in the plane have a constant difference; a curve consisting of two distinct and similar branches, formed by the intersection of a plane with a right circular cone when the plane makes a greater angle with the base than does the generator of the cone. 00:01 01:28 Ellipse a plane curve such that the s...

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 ...

equation for parabola going through horizontal twice x²=4py equation for parabola going through vertical twice y²=4px 00:01 01:28 directrix of x²=4py y=-p directrix of y²=4px x=-p what is the symbol for focus? p the coordinates for the foci in x²=4py? (vertex,vertex±c) the coordinates for the foci in y²=4px? (vertex±c,vertex) what is p? the distance from the vertex to the focus what is the equation for a circle (x...