L2 Graphing Starters Parabola Drawing Parabola Drawing Soln

Slides:



Advertisements
Similar presentations
L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.
Advertisements

Starter Activity Write the equation of a circle with a center of
Intro to Conic Sections. It all depends on how you slice it! Start with a cone:
Circles and Parabolas Review
L1 Graphing Starters Links Graphing Starter 1Graphing Starter 1 Graphing Starter 1 SolnsGraphing Starter 1 Solns Graphing Starter 2Graphing Starter 2 Graphing.
Overview of MAC1105 College Algebra. 1. Graph Circles 2. Find Equations of Circles.
10.3 Hyperbolas. Circle Ellipse Parabola Hyperbola Conic Sections See video!
Whiteboardmaths.com © 2004 All rights reserved
8.6 Conic Sections Write equations of conic sections in standard form Identify conic sections from their equations.
What is the standard form of a parabola who has a focus of ( 1,5) and a directrix of y=11.
Section 2 Chapter Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives The Circle and the Ellipse Find an equation of a circle.
EXAMPLE 1 Graph the equation of a translated circle Graph (x – 2) 2 + (y + 3) 2 = 9. SOLUTION STEP 1 Compare the given equation to the standard form of.
Circles – An Introduction SPI Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the.
Section 9.3 Logarithmic Functions  Graphs of Logarithmic Functions Log 2 x  Equivalent Equations  Solving Certain Logarithmic Equations 9.31.
An Introduction to Straight Line Graphs Drawing straight line graphs from their equations. Investigating different straight line graphs.
Quadratics Questions.
Algebra Conic Section Review. Review Conic Section 1. Why is this section called conic section? 2. Review equation of each conic section A summary of.
Jeopardy CirclesParabolasEllipsesHyperbolas Mixed Conics Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.
QUESTION Identify the following conic section: AB CD CircleParabola EllipseHyperbola.
Section 8.5. In fact, all of the equations can be converted into one standard equation.
An Introduction to Conics
Conics Conics Review. Graph It! Write the Equation?
Conics Review Study Hard!. Name the Conic without graphing and write it in standard form X 2 + Y 2 -4Y-12=0.
What am I?. x 2 + y 2 – 6x + 4y + 9 = 0 Circle.
Warm Up. EQUATION OF A CIRCLE Geometry How can we make a circle? What are the most important aspects when drawing a circle?
9.6 Circles in the Coordinate Plane Date: ____________.
Unit 5: Conics Feb. 3, What is Conics? This is the short term for conic sections. -Conic Sections include circles, parabolas, ellipses, and hyperbolas.
9.4 Solving Quadratic Systems Precalculus Precalculus HWQ 3/21/13 Find the standard form of the equation of the hyperbola with vertices ( 2,3) and.
Equations of Circles. You can write an equation of a circle in a coordinate plane, if you know: Its radius The coordinates of its center.
Exponential and log graphs Logarithms Identify all the graphs in the diagrams below. (2,16) (0,1) 0 y x  (3,125) 0 y x (0,1)  0 y 1 (4,16) x  0 y.
Chapter 10 – Conic Sections 1) Circles 2) Parabolas 3) Ellipses 4) Hyperbolas.
On your graph paper, draw the graphs y = 2 x and y = 3 x These are both types of exponential functions Extension: Sketch these graphs and comment on their.
10.1 Identifying the Conics. Ex 1) Graph xy = 4 Solve for y: Make a table: xy ½ ½ Doesn’t touch y -axis Doesn’t touch x -axis.
10.0 Conic Sections. Conic Section – a curve formed by the intersection of a plane and a double cone. By changing the plane, you can create a circle,
Equations of Circles.
13.4 Graphing Lines in Slope-Intercept Form
Systems: Identifying Equations, Points of Intersections of Equations
Intercepts.
Equations of Circles.
Logarithmic Functions and Their Graphs
EXAMPLE 1 Graph the equation of a translated circle
FUNCTIONS: A REVIEW ASSESSMENT QUESTIONS.
Function Transformations
Systems of Nonlinear Equations
Y Label each of the components of the parabola A: ________________ B: ________________ C: ________________ C B B 1 2.
Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.
Systems: Identifying Equations, Points of Intersections of Equations
Writing Equations of Conics
Graphs.
Parabolas Mystery Circles & Ellipses Hyperbolas What am I? $100 $100
Equations of Circles.
Multiplying Like Bunnies
USING GRAPHS TO SOLVE EQUATIONS
Systems: Identifying Equations, Points of Intersections of Equations
Circles in the Coordinate Plane
9.8/9 Quadratic, cubic, and exponentia l Functions
Count the number of black dots you see in the following slide.
Drawing Quadratic Graphs
Systems: Identifying Equations, Points of Intersections of Equations
that ordered pair is the one solution.
has one solution, it is the point where the lines intersect
Systems: Identifying Equations, Points of Intersections of Equations
Drawing Graphs The parabola x Example y
3.5 Solving Nonlinear Systems
Warmup Write the equation in standard form. State whether the graph of 3y2 – 18y – 11 = –x is a parabola, circle, ellipse, or hyperbola. A. x2 + (y – 3)2.
Systems of Nonlinear Equations
Conics Review.
Effect of the Real Numbers h and k of a
L10-2 Obj: Students will be able to find equations for parabolas
Presentation transcript:

L2 Graphing Starters Parabola Drawing Parabola Drawing Soln Parabola Equations Parabola Equations Soln Cubic Drawing Cubic Drawing Soln Cubic Equations Cubic Equations Soln Hyperbola Drawing Hyperbola Drawing Soln Hyperbola Equations Hyperbola Equations Soln Circles Circles Soln Exponential Drawing Exponential Drawing Soln Exponential Equations Exponential Equations Soln Log Drawing Log Drawing Soln Log Equations Log Equations Solns Graph Intersections Graph Intersections Solns Mixed Drawing Mixed Drawing Soln Mixed Equations Mixed Equations Soln Excellence A Excellence A Soln 1 Excellence B Excellence B Soln 1

Parabola Drawing Draw these graphs 1st Slide

Parabola Drawing Soln 1st Slide

Parabola Equations 1st Slide Write the equations for these graphs

Parabola Equations Soln 1st Slide

Cubic Drawing Draw these graphs 1st Slide

Cubic Drawing Soln Draw these graphs 1st Slide

Cubic Equations 1st Slide Write the equations for these graphs

Cubic Equations Soln 1st Slide Write the equations for these graphs

Hyperbola Drawing Draw these graphs 1st Slide

Hyperbola Drawing Soln 1st Slide

Hyperbola Equations 1st Slide Write the equations for these graphs

Hyperbola Equations Soln 1st Slide Write the equations for these graphs

Circles Draw these graphs Write the equations for these graphs 1st Slide Write the equations for these graphs

Circles Soln Draw these graphs 1st Slide

Exponential Drawing Draw these graphs 1st Slide

Exponential Drawing Soln 1st Slide

Exponential Equations 1st Slide Write the equations for these graphs

Exponential Equations Soln 1st Slide Write the equations for these graphs

Log Drawing Draw these graphs 1st Slide

Log Drawing Soln Draw these graphs 1st Slide

Log Equations 1st Slide Write the equations for these graphs

Log Equations Solns 1st Slide Write the equations for these graphs

Graph Intersections 1st Slide Find the intersection points between

Graph Intersections Solns 1st Slide Find the intersection points between Coordinates are (1,0) &(-2,-3)

Draw these graphs Mixed Drawing 1st Slide

Draw these graphs Mixed Drawing Soln 1st Slide

Mixed Equations 1st Slide Write the equations for these graphs

Mixed Equations Soln 1st Slide Write the equations for these graphs

Excellence A 1st Slide The temperature in a heated glasshouse can be modelled using a hyperbola. The form of the equation is given below. t = temp in centigrade & h = hours after the heating is turned on 1) Find an equation to model the temperature 2) Use your equation to find the temperature after 8 hr

Excellence A Soln 1 1st Slide The temperature in a heated glasshouse can be modelled using a hyperbola. The form of the equation is given below. t = temp in centigrade & h = hours after the heating is turned on 1) Find an equation to model the temperature

Excellence A Soln 2 1st Slide The temperature in a heated glasshouse can be modelled using a hyperbola. The form of the equation is given below. t = temp in centigrade & h = hours after the heating is turned on 1) Find an equation to model the temperature 2) Use your equation to find the temperature after 8 hr

Excellence B 1st Slide A population of hamsters decreases according to an exponential model. In this form: P = population & m = months 1) Find an equation to model the population 2) Use your equation to find the population after 7 months

Excellence B Soln 1 1st Slide A population of hamsters decreases according to an exponential model. P = population & m = months 1) Find an equation to model the population

Excellence B Soln 2 1st Slide A population of hamsters decreases according to an exponential model. P = population & m = months 2) Use your equation to find the population after 7 months