October 10 2012
Download
1 / 30

October 10, 2012 - PowerPoint PPT Presentation


  • 81 Views
  • Uploaded on

October 10, 2012. Take out your graphing calculator. If at least 70% of students in the class have their graphing calculator in class today, we will do an activity with the calculator. If not, we will take notes on 5.2. Homework Questions?. PSAT Questions?. Graphing on TI-83/TI-84.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' October 10, 2012' - gitano


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
October 10 2012
October 10, 2012

  • Take out your graphing calculator.

  • If at least 70% of students in the class have their graphing calculator in class today, we will do an activity with the calculator.

  • If not, we will take notes on 5.2.





Graph using your calculator
Graph using your calculator

  • Graph each of the following using your graphing calculator, and sketch the graph on your paper.





Purpose
Purpose x

  • Learn how to graph parabolas


Outcome
Outcome x

  • Graph parabolas


Graphing parabolas method 1
Graphing Parabolas, Method 1 x

  • Solve for the following:

    • Axis of symmetry

    • Vertex

    • y-intercept (c)

    • x-intercepts (also called the zeros or the roots)

  • Draw a dashed line for the axis of symmetry

  • Draw a point for:

    • The vertex

    • The y-intercept

    • The reflection of the y-intercept

    • The x-intercepts

  • Sketch in the rest of the parabola

  • Check that the shape agrees with the shape predicted by the sign of a

    • a>0 (a is positive) opens up

    • a<0 (a is negative) opens down


Example 1 graph
Example 1: Graph x

(-2)

Vertex = (-2, -1)

y-intercept = 3  (0, 3)

Reflection of y-intercept (-4, 3)

Solve for the roots/zeros/x-intercepts


You try graph f x 6 x x 2
You-Try: Graph f(x) = 6 + x – x x2

Axis of symmetry:

Vertex (from Warm-Up) = (.5, 6.25)

y-intercept = 6  (0, 6)

Reflection of y-intercept = (1, 6)

Solve for the roots/zeros/x-intercepts (from Warm-Up)

(-2, 0), (3, 0)


Graphing parabolas method 2
Graphing Parabolas, Method 2 x

  • Solve for the following:

    • Axis of symmetry

    • Vertex

    • y-intercept (c)

  • Draw a dashed line for the axis of symmetry

  • Draw a point for:

    • The vertex

    • The y-intercept

    • The x-intercepts

    • The points with x-values ±1 and ±2 of the vertex

  • Sketch in the rest of the parabola

  • Check that the shape agrees with the shape predicted by the sign of a

    • a>0 (a is positive) opens up

    • a<0 (a is negative) opens down


Vertex form
Vertex Form x

  • If has its vertex at (h, k), then it can be written in vertex form as

  • This is similar to shifting absolute value equations.


Example 3
Example 3 x

  • Given the graph of y = x2, graph the following:

    • y = (x-3)2 + 5

    • y = (x+1)2 + 3

    • y = (x+4)2 – 7


Assignment
Assignment x

  • Parabola Graphing Worksheet



Warm up october 23 2012
Warm-Up: October x23, 2012

  • Solve by factoring:




Essential question
Essential Question x

  • How can we graph quadratic functions?


Vertex
Vertex x

  • The vertex is the minimum or maximum point of a parabola.

  • The x-coordinate of the vertex is

  • To find the y-coordinate, substitute the x value into the original equation.

  • The vertex is a point, expressed as an ordered pair.


Graphing parabolas2
Graphing Parabolas x

  • Find the vertex.

  • Plot the vertex and draw a vertical dashed line to represent the axis of symmetry.

  • Set up a T-table with the vertex in the middle.

  • Choose 3 x-values on each side of the vertex.

  • Find each y-value by substituting the x-value into the original equation.

  • Plot your points.

  • Connect the points with a smooth curve.




Vertex form1
Vertex Form x

  • If has its vertex at (h, k), then it can be written in vertex form as

  • The graph will look like y=x2, but shifted to the right h units and shifted up k units.


Example 31
Example 3 x

  • Given the graph of y = x2, graph the following:

    • y = (x-3)2 + 5

    • y = (x+1)2 + 3

    • y = (x+4)2 – 7


Assignment1
Assignment x

  • Parabola Graphing Worksheet


ad