Section 10.2 – The Parabola Opens Left/Right Opens Up/Down

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Presentation transcript:

Section 10.2 – The Parabola Opens Left/Right Opens Up/Down Vertex: (h, k) Vertex: (h, k) Focus: Focus: Directrix: Directrix: Axis of Sym: Axis of Sym:

F 2p p 2p V p Directrix

Directrix 2p F p V p 2p

Given the equation a) Write the equation in standard form b) Provide the appropriate information. Focus: (0, 2) Vertex: (0, 0) Directrix: y = -2 Axis of Sym: x = 0 F c) Graph the equation V

Given the equation a) Write the equation in standard form

Given the equation a) Write the equation in standard form b) Provide the appropriate information. Focus: (4, 2) Vertex: (2, 2) Directrix: x = 0 Axis of Sym: y = 2 F V c) Graph the equation

Given the equation a) Write the equation in standard form

Given the equation a) Write the equation in standard form b) Provide the appropriate information. V Focus: (3, 0) Vertex: (3, 2) Directrix: y = 4 Axis of Sym: x = 3 F c) Graph the equation

Write the equation of the parabola with focus at (2, 2) and directrix x = 4 F V

Write the equation of the parabola with V(-1, -3) and F(-1, -6)

Write the equation of the parabola with axis of symmetry y = 2, directrix x = 4, and p = -3 F V