Unit 1 – Conic Sections Section 1.3 – The Parabola Calculator Required Vertex: (h, k) Opens Left/RightOpens Up/Down Vertex: (h, k) Focus: Directrix: Axis.

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Presentation transcript:

Unit 1 – Conic Sections Section 1.3 – The Parabola Calculator Required Vertex: (h, k) Opens Left/RightOpens Up/Down Vertex: (h, k) Focus: Directrix: Axis of Sym:

V p 2p F p Directrix

V p 2p F p Directrix

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

Given the equation a) Write the equation in standard form

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

Given the equation a) Write the equation in standard form

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