THE PARABOLA.

Slides:



Advertisements
Similar presentations
Algebra II w/ trig 4.1 Quadratic Functions and Transformations
Advertisements

Reflection, Mirror, or Line Symmetry Rotational Symmetry TWO The butterfly and fan below illustrate the two kinds of symmetry.
Chapter 5 – Quadratic Functions and Factoring
Lesson 1 (Parent Functions) Linear Functions: How do you find slope of a line? Slope-intercept form y=mx + b m is your slope, b is your y-intercept. Slope.
EXAMPLE 1 Graph an equation of a parabola SOLUTION STEP 1 Rewrite the equation in standard form x = – Write original equation Graph x = – y.
Quadratic Functions Unit Objectives: Solve a quadratic equation. Graph/Transform quadratic functions with/without a calculator Identify function attributes:
Topic: U2 L1 Parts of a Quadratic Function & Graphing Quadratics y = ax 2 + bx + c EQ: Can I identify the vertex, axis of symmetry, x- and y-intercepts,
Copyright © Cengage Learning. All rights reserved. Conic Sections.
Warm-Up: you should be able to answer the following without the use of a calculator 2) Graph the following function and state the domain, range and axis.
Goal: Graph quadratic functions in different forms.
Lesson 11.4 Translations and Reflections
EXAMPLE 1 Graph the equation of a translated circle
Warm-Up Exercises Find the x -intercept and y -intercept x3x 5y5y = – 5 ; 3 – ANSWER y 2x2x = ANSWER ; 7 – 2 7.
Objective: To us the vertex form of a quadratic equation 5-3 TRANSFORMING PARABOLAS.
PARABOLAS GOAL: GRAPH AND EQUATIONS OF PARABOLAS.
4-1 Quadratic Functions Unit Objectives: Solve a quadratic equation. Graph/Transform quadratic functions with/without a calculator Identify function.
 Parabola: set of all points in a plane that are the same distance from a fixed line & a fixed point not on the line  Focus: that fixed point; lies.
4.3 Reflecting Graphs; Symmetry
Chapter 4.2 Graphs of Quadratics in Vertex or Intercept Form.
10.1 & 10.2: Exploring Quadratic Graphs and Functions Objective: To graph quadratic functions.
Coordinate Grids Ms. Cuervo.
Label all points on the object Always construct projection lines at 90 degrees to the axis of symmetry form points on the object.
An image has Reflective Symmetry if there is at least one line which splits the image in half so that one side is the mirror image of the other.
10-2 Quadratic Functions Graphing y = ax² + bx + c Step 1 Find the equation of the axis of symmetry and the coordinates of the vertex. Step 2 Find.
Advanced Geometry Conic Sections Lesson 3
Vertex form Form: Just like absolute value graphs, you will translate the parent function h is positive, shift right; h is negative, shift left K is positive,
Parabola  The set of all points that are equidistant from a given point (focus) and a given line (directrix).
PRE-ALGEBRA “Symmetry and Reflections” (9-9) A figure has symmetry when one half is a mirror image of the other half (in other words, both halves are congruent).
Standard Normal Distribution
Unit 8 – Curved Mirrors. Unit 8 – Concave Spherical Mirror Concave spherical mirror: a mirror whose reflecting surface is a segment of the inside of a.
Algebra 2. Lesson 5-3 Graph y = (x + 1) 2 – Step 1:Graph the vertex (–1, –2). Draw the axis of symmetry x = –1. Step 2:Find another point. When.
Key Words quadratic function parabola vertex axis of symmetry monomial binomial.
Mathematics 2 Ms. Meek Symmetry. A figure is said to be symmetric if you can draw a line down the middle, and split the figure into two pieces that are.
An Explanation of the Different Forms of Quadratic Functions By Katie Johnson Gee, I’m puzzled!
Vertex Form of A Quadratic Function. y = a(x – h) 2 + k The vertex form of a quadratic function is given by f (x) = a(x - h) 2 + k where (h, k) is the.
Transformation of Functions Lesson 2.5. Operation: Subtract 2 from DV. Transformation: Vertical translation Example #1.
Task 9 Describe the types of drawings that may be produced by the modelling software.
Writing Equations of Parabolas
10.5 Parabolas Objective: Use and determine the standard and general forms of the equations of a parabolas. Graph parabolas.
Quadratic Functions Unit Objectives: Solve a quadratic equation.
3B Reflections 9-2 in textbook
Asymptotes are drawn thru the box corners
Warm Up Tell whether the shaded figure is a translation of the non-shaded figure. If it is a translation, use an arrow to represent the direction of the.
Warm-up.
Graph Quadratic Functions in Standard Form
lesson 9.1 I CAN identify parts of a parabola.
Graphing Quadratic Functions
Finding Lengths of Horizontal Lines on a Coordinate Plane
Graph Quadratic Functions in Standard Form
Graph and Solve Quadratic Inequalities
9.2 Parabolas Emerald Seing.
Transformations of curves
Warm Up Graph:
Transformations Geometry
12.4 Conic Sections and Parabolas.
Graphs of Quadratic Functions Day 1
Graphing Quadratic Functions
Bellringer Find the equation of the parabola given the following points, then find the axis of symmetry and the minimum value. (-3,-2), (-4,1), (0,1)
GRAPHING PARABOLAS To graph a parabola you need : a) the vertex
Graphs of Quadratic Functions Part 1
Graphs of Quadratic Functions
Warm-up.
Write an equation of a parabola with a vertex at the origin and a focus at (–2, 0). [Default] [MC Any] [MC All]
4-2 Parabolas.
5.1 Parabolas a set of points whose distance to a fixed point (focus) equals it’s distance to a fixed line (directrix) A Parabola is -
5.1 Parabolas a set of points whose distance to a fixed point (focus) equals it’s distance to a fixed line (directrix) A Parabola is -
The graph below is a transformation of which parent function?
Conics Review.
U5D2 Assignment, pencil, red pen, highlighter, calculator, notebook
M3CSD2 Have out: Bellwork:
Presentation transcript:

THE PARABOLA

PARABOLA / LAMP DOWN 185 IN 60 DOWN 155 IN 260 40 100 100 125 75 15 5 NAME: DATE: 40 100 100 125 75 DOWN 185 IN 60 DOWN 155 IN 260 15 5 70 5

MC DONALDS NAME: DATE: DOWN 205 IN 100

MC DONALDS DOWN 205 IN 100 10 140 10 20 35 35 20 35 35 20 NAME: DATE: Curve on opposite side found by using axial symmetry using a series of horizontal lines form the points. Ensure distances are the sam e both sides of the axis line TO DRAW SECOND PARABOLA Copy first curve drawn, by drawing a serious of horizontal lines in red, across from the points on the paraboa. Points can be obtained by measuring distance from the axis. 10 140 10 DOWN 205 IN 100 20 35 35 20 35 35 20

PARABOLA WORKSHEET NAME: DATE: DRAW THE THREE PARABOLAS BELOW, SLOWLY AND CAREFULLY. DRAW A PARABOLA IN THE THREE FOLLOWING BOXES

PARABOLA WORKSHEET NAME: DATE: DRAW THE THREE PARABOLAS BELOW, SLOWLY AND CAREFULLY. DRAW A PARABOLA IN THE THREE FOLLOWING BOXES

100 125,63

NAME: DATE: PARENT MEETING TEST IN 105 UP 28

MOTOROLLA NAME: DATE: 100 20 16 100 IN 105 UP 28 60 36 36 60

VODAFONE NAME: DATE: Down 130 In 200

VODAFONE Down 13o In 200 COPY CURVE CB ACROSS USING MIRROR METHOD. 30 NAME: DATE: COPY CURVE CB ACROSS USING MIRROR METHOD. 30 A B 45° D C 92 50 Down 13o In 200

NAME: VODAFONE DATE: COPY CURVE CB ACROSS USING MIRROR METHOD.