Warm Up Find the distance between the points 1. (3,4)(6,7) 2. (-3,7)(-7,3)

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Presentation transcript:

Warm Up Find the distance between the points 1. (3,4)(6,7) 2. (-3,7)(-7,3)

Algebra 3 Chapter 10:Quadratic Relations and Conic Sections Lesson 2: Parabolas

VOCAB Parabola - The set of all points equidistant from the focus and directrix – Focus lies on the axis of symmetry – Directrix is perpendicular to the axis of symmetry

Today Today we will focus on learning how to write the equation of a parabola when we know the focus and the vertex Tomorrow we will look at the graphs

Types Standard Form with vertex (0,0) EquationFocusDirectrixAxis Of Symmetry (0,p)y = -px = 0 (p,0)x = -py = 0

Directions Look at the focus or find the focus – This determines which formula to use Plug p into the equation Solve

I DO (Parabola Equations) Write an equation of the parabola with the given focus/directrix and vertex at (0,0) 1. (4,0)5. y = 2 2. (-2,0)6. x = (-1/4, 0)7. x = -1/2 4. (0,1)8. y = -3

WE DO (Parabola Equations) Write an equation of the parabola with the given focus/directrix and vertex at (0,0) 1. (0,4)5. y = (0,-3)6. x = 3/4 3. (0,-4)7. x = (5/12,0)8. x = 2

YOU DO (Parabola Equations) Write an equation of the parabola with the given focus/directrix and vertex at (0,0) 1. (-3, 0)5. y = 5/8 2. (-5,0) 6. x = 6 3. (0, 1/2)7. y = 4 4. (0,-3/8)8. y = -1/12

Review Today you learned how to write the standard form of a parabola when you know the vertex and focus.

Homework Worksheet – 10.2B (13-20)

Warm Up

Algebra 3 Chapter 10:Quadratic Relations and Conic Sections Lesson 2: Parabolas

Today Today we will look at the graphs of parabolas

Types Standard Form with vertex (0,0) EquationFocusDirectrixAxis Of Symmetry (0,p)y = -px = 0 (p,0)x = -py = 0

Graphing Knowledge

Directions Solve the equation for the squared Look at the equation – This determines which formula to use Solve for p Find the focus Find the directrix Draw the graph

I DO (Graphing Parabolas)

WE DO (Graphing Parabolas)

YOU DO (Graphing Parabolas)

Review Today you learned…

Homework Worksheet – 10.2 (1 – 12)