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Algebra II Chapter 10 Section 3
Circle The set of all points a given distance from some center point
Find the center and radius given an Equation 25 = (x – 7) 2 + (x + 4) 2 64 = (x – 3) 2 + (x - 6) 2 22 = (x + 7) 2 + (x + 11) 2 -3 = (x – 4) 2 + (x + 5) 2
Transformations on a circle Translation Rotation Reflection Dilation
Given the Equation and Translation of the following circles give the equation of the image circle x 2 + y 2 = 25 Up 2 units x 2 + y 2 = 25 Left 4 units x 2 + y 2 = 25 Down 3 and right 5 units
Write the equation of the circle that passes through the given point and has a center at the origin ( 9, 12) (12, -5) (2, -3)
Do Now Page 553 Problems 4-64 (multiples of 4)
12-5 Circles in the Coordinate Plane. Theorem An equation of a circle with center (h,k) and radius r is (x - h) 2 + (y - k) 2 = r 2 standard form.
WARM UP Conic Sections CA ST #16. Standard 16 Equation of a circle with center at the origin. The equation, in standard form of the circle centered in.
Graphs and Equations of Circles Book: Math 3 (Green Book) Section: 5.2.
Course: Alg. 2 & Trig. Aim: Equation and Graph of Circle Do Now: What is the locus of points 4 units from a given point? The locus is a circle whose center.
THE EQUATION OF A CIRCLE ON A GRAPH CAN BE DEFINED AS ( x - h )² + ( y – k )² = r² ( h, k ) = center r = radius.
Parabola Conic section. Warm-up Graph the following parabola using: I Finding the solution of the equations (Factoring) II Finding the VERTEX (Using formula)
Write equations and graph circles in the coordinate plane. Objectives.
Chapter 10 Quadratic Relations. In this chapter you should … Learn to write and graph the equation of a circle. Learn to find the center and radius of.
Objectives: 1.To find the intercepts of a graph 2.To use symmetry as an aid to graphing 3.To write the equation of a circle and graph it 4.To write equations.
Algebra II Chapter 10 Section 5 Hyperbola. The set of all points that have the difference of the distance to 2 focus points is a given constant.
Section 10.1 – The Circle Write the standard form of each equation. Then graph the equation. center (0, 3) and radius 2 h = 0, k = 3, r = 2.
Write equation or Describe Transformation. Write the effect on the graph of the parent function down 1 unit1 2 3 Stretch by a factor of 2 right 1 unit.
MA.912.G.6.6: Given the center and the radius, find the equation of a circle in the coordinate plane or given the equation of a circle in center-radius.
Parallel & Perpendicular Slopes II Unit 6. Warm Up Which of these lines are parallel? Why? Which are perpendicular? Why? a) y = 2x + 3 b) y = 2x + 3 c)
Do Now 1) Draw a coordinate grid (like below) and label the axes 2)Graph the point (2,1) 3) Translate (2,1) 4 units up and 1 unit left 4)Write the translation.
MATHPOWER TM 12, WESTERN EDITION Chapter 3 Conics.
Circles Sheila Roby April 22, What is a circle? A circle is the set of all points in a plane equidistant from a fixed point. Equi means same, so.
The Three-Dimensional Coordinate System 11.1 JMerrill, 2010.
Circles Graphing and Writing Equations What is a circle? A conic formed when …. A second degree equation… A locus of points…
1 6.6 Analyzing Graphs of Quadratic Functions. Graphing the parabola y = f (x) = ax 2 Consider the equation y = x (–1, 1)(0, 0)(1, 1)(2, 4)
Lesson B.1 The Cartesian Plane Objective Students will: Plot points on the Cartesian plane and sketch scatter plots Use the distance formula to determine.
Algebra II Chapter 2 Section 3 Direct that Variation.
Holt Algebra Ellipses Write the standard equation for an ellipse. Graph an ellipse, and identify its center, vertices, co-vertices, and foci. Objectives.
Do Now. 2.3 Linear Functions and Slope-Intercept Form Learning Target: I can Graph linear equations I can write equations of lines.
TRANSFORMATIONS SPI SPI TYPES OF TRANSFORMATIONS Reflection Reflection – The flip of a figure over a line to produce a mirror image.
MATHPOWER TM 12, WESTERN EDITION Chapter 10 Analytic Geometry.
In this section, you will learn to: identify unit graphs of various functions transform a unit graph by stretching, shifting and reflecting write the.
Holt Algebra Identifying Conic Sections Identify and transform conic functions. Use the method of completing the square to identify and graph conic.
Horizontal Lines Vertical Lines Lines, Lines, Lines!!! ~
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