Parabola Formulas Parabolas Type 1 Parabolas Type 2
Parabola Formulas Parabolas (Type 1) Parabolas (Type 2) Vertex Form Vertex: (h, k) x=h Axis: Vertex: (h, k) y=k Axis: Rate: a (+ up / –down) Rate: a (+ rt /–left)
![Write each equation in vertex form. State the vertex and aos. [1] Vertex: (-4,](http://slidetodoc.com/presentation_image_h2/abe5d3feb8bb433f17ea3285b79ba988/image-2.jpg "Write each equation in vertex form. State the vertex and aos. [1] Vertex: (-4,")
Write each equation in vertex form. State the vertex and aos. [1] Vertex: (-4, -11) Axis: x = -4
![Write each equation in vertex form. State the vertex and aos. [2] Vertex: (5,](http://slidetodoc.com/presentation_image_h2/abe5d3feb8bb433f17ea3285b79ba988/image-3.jpg "Write each equation in vertex form. State the vertex and aos. [2] Vertex: (5,")
Write each equation in vertex form. State the vertex and aos. [2] Vertex: (5, -24) Axis: x=5
![Write each equation in vertex form. State the vertex and aos. [3] Vertex: (-12,](http://slidetodoc.com/presentation_image_h2/abe5d3feb8bb433f17ea3285b79ba988/image-4.jpg "Write each equation in vertex form. State the vertex and aos. [3] Vertex: (-12,")
Write each equation in vertex form. State the vertex and aos. [3] Vertex: (-12, 3) Axis: y=3
![Write each equation in vertex form. State the vertex and aos. [4] Vertex: Axis:](http://slidetodoc.com/presentation_image_h2/abe5d3feb8bb433f17ea3285b79ba988/image-5.jpg "Write each equation in vertex form. State the vertex and aos. [4] Vertex: Axis:")
Write each equation in vertex form. State the vertex and aos. [4] Vertex: Axis:
Example 1 Type 1 Parabolas Write in vertex form. Identify the vertex and axis of symmetry. [A] [B] Vertex: (2, -1) Axis: x=2
Example 2 Type 2 Parabolas Write in vertex form. Identify the vertex and axis of symmetry. [A] [B] Vertex: (-5, 3) Axis: y=3
![Write each equation in vertex form. State the vertex and aos. [5] Vertex: (-3,](http://slidetodoc.com/presentation_image_h2/abe5d3feb8bb433f17ea3285b79ba988/image-8.jpg "Write each equation in vertex form. State the vertex and aos. [5] Vertex: (-3,")
Write each equation in vertex form. State the vertex and aos. [5] Vertex: (-3, -19) Axis: x = -3
![Write each equation in vertex form. State the vertex and aos. [6] Vertex: (-1,](http://slidetodoc.com/presentation_image_h2/abe5d3feb8bb433f17ea3285b79ba988/image-9.jpg "Write each equation in vertex form. State the vertex and aos. [6] Vertex: (-1,")
Write each equation in vertex form. State the vertex and aos. [6] Vertex: (-1, 5) Axis: x = -1
Example 3 Type 1 Parabolas Write in vertex form. Identify the vertex and axis of symmetry. [A] [B] Vertex: (-1, 4) Axis: x = -1
Example 4 Type 2 Parabolas Write in vertex form. Identify the vertex and axis of symmetry. [A] [B] Vertex: Axis: (13, -2) y = -2
![Write each equation in vertex form. State the vertex and aos. [1] [2] [3]](http://slidetodoc.com/presentation_image_h2/abe5d3feb8bb433f17ea3285b79ba988/image-12.jpg "Write each equation in vertex form. State the vertex and aos. [1] [2] [3]")
Write each equation in vertex form. State the vertex and aos. [1] [2] [3] [4]
Write each equation in vertex CW 8. 2 -8. 3 (Day 1) form. State the vertex and aos. [5] [6]
![Example 3 Equation given Vertex & Point Type I [A] Type II [B] Vertex:](http://slidetodoc.com/presentation_image_h2/abe5d3feb8bb433f17ea3285b79ba988/image-14.jpg "Example 3 Equation given Vertex & Point Type I [A] Type II [B] Vertex:")
Example 3 Equation given Vertex & Point Type I [A] Type II [B] Vertex: (2, 4) Vertex: (- 4, 6) Point: (-6, 8) Point: (2, 8)
Recall: • Midpoint formula: • Distance formula:
Conic Formulas Standard Form Circles Center: (h, k) Radius: r
Practice 1. Identify the center and radius. 2. Write an equation of the circle with a center (-1, 3) and radius of 6.
Practice 3. Write the equation of a circle if the endpoints are (-1, 7) and (5, -1) 4. Write an equation of a circle if the endpoints are (-3, -5) and (6, 2)
Example 5 Equations given the Diameter Write the equation of the circle given the endpoints of a diameter. [A] (5, 4) and (-2, -6) [B] (2, 8) and (2, -2) Center: (2, 3)
Writing in standard form Complete the square for x’s and y’s Center: (-4, 6) Radius: 9
Example 6 Writing Circles in Standard Form Write in standard form, find the radius and center. Graph. [A] [B] Center: Radius: (3, 0) r=4
Example 7 Writing Circles in Standard Form Write in standard form, find the radius and center. Graph. [A] [B] Center: Radius: (3, 0) r=4
Example 8 Equations given the a Tangent Write the equation of the circle given its tangency to an axis. [A] Center: (-4, -3) tangent to x-axis [B] Center: (3, 5) tangent to y-axis
![Write each equation in standard form. State the center and radius. [9] Center: (-3,](http://slidetodoc.com/presentation_image_h2/abe5d3feb8bb433f17ea3285b79ba988/image-24.jpg "Write each equation in standard form. State the center and radius. [9] Center: (-3,")
Write each equation in standard form. State the center and radius. [9] Center: (-3, -4) Radius: r = 4
![Write each equation in vertex form. State the vertex. [10] Center: (4, -8) Radius:](http://slidetodoc.com/presentation_image_h2/abe5d3feb8bb433f17ea3285b79ba988/image-25.jpg "Write each equation in vertex form. State the vertex. [10] Center: (4, -8) Radius:")
Write each equation in vertex form. State the vertex. [10] Center: (4, -8) Radius: r = 4
- Slides: 25