9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a...

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§ 9.2 The Parabola

Transcript of 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a...

Page 1: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

§ 9.2

The Parabola

Page 2: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

OBJECTIVE 1

Page 3: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

§ 9.2

The Parabola

Page 4: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con
Page 5: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

Find an equation of the parabola with vertex at (0, 0) and focus at

(4, 0). Graph the equation.

Page 6: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

2Graph the parabola 16 .y x

Page 7: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con
Page 8: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con
Page 9: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con
Page 10: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

2Analyze the equation 8 .x y

Page 11: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

Find the equation of the parabola with focus at (0, – 12) and

directrix the line y = 12. Graph the equation.

Page 12: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

Find the equaton of a parabola with vertex at (0, 0) if its axis of

symmetry is the y-axis and its graph contains the point 1, 4 .

Find its focus and directrix, and graph the equation.

Page 13: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

OBJECTIVE 2

Page 14: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con
Page 15: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con
Page 16: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con
Page 17: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

Find an equation of the parabola with vertex at (5, – 1)

and focus at (2, – 1). Graph the equation.

Page 18: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

2Analyze the equation: 4 4 0y x y

Page 19: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

OBJECTIVE 3

Page 20: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con
Page 21: 9.2 The Parabola - spot.pcc.eduspot.pcc.edu/~kkidoguc/m112/m112_c09.2.pdfFind the equaton of a parabola with vert ex at (0, 0) if its axis of symmetry is the y-axis and its graph con

pARABOLA STRAIGHT 57 PARABOLA PARABOLA 53 STRAIGHT …

pARABOLA STRAIGHT 57 PARABOLA PARABOLA 53 STRAIGHT …

The four types of conic sections are parabolas, ellipse ...Equation of a Vertical Parabola The standard form of the equation of a parabola with vertex (h,k) and an axis of symmetry

The four types of conic sections are parabolas, ellipse ...Equation of a Vertical Parabola The standard form of the equation of a parabola with vertex (h,k) and an axis of symmetry

PARABOLA · (a) Parabola (b) Hyperbola (c)Ellipse (d) None of these 6. If the vertex of the parabola y =x 2 −8x +c lies on x-axis, then the value of c is (a) –16 (b) –4 (c)

PARABOLA · (a) Parabola (b) Hyperbola (c)Ellipse (d) None of these 6. If the vertex of the parabola y =x 2 −8x +c lies on x-axis, then the value of c is (a) –16 (b) –4 (c)

La parabola

La parabola

CONIC SECTION ASSIGNMENT -6 (DATE:- 20.04.2020)...x 3 meets the y-axis at E(0,3) and the arc of the parabola y2 d6, at the point y 00,. The tangent to the parabola at y 00, intersects

CONIC SECTION ASSIGNMENT -6 (DATE:- 20.04.2020)...x 3 meets the y-axis at E(0,3) and the arc of the parabola y2 d6, at the point y 00,. The tangent to the parabola at y 00, intersects

Testing an off-axis parabola with a CGH and a spherical ......off-axis parabola. 1. Introduction: The Steward Observatory Mirror Laboratory at the University of Arizona is currently

Testing an off-axis parabola with a CGH and a spherical ......off-axis parabola. 1. Introduction: The Steward Observatory Mirror Laboratory at the University of Arizona is currently

Parabola complete

Parabola complete

What is the difference between a parabola and a hyperbola?repository.ias.ac.in/172/1/172.pdf · What Is the Difference between a Parabola ... Parabola and Hyperbola The parabola is

What is the difference between a parabola and a hyperbola?repository.ias.ac.in/172/1/172.pdf · What Is the Difference between a Parabola ... Parabola and Hyperbola The parabola is

L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Central Bucks School District / Homepage · Standard form of a parabola with vertex at origin opening Axis of symmetry: X Directrix: Standard form of a parabola with vertex at origin

Central Bucks School District / Homepage · Standard form of a parabola with vertex at origin opening Axis of symmetry: X Directrix: Standard form of a parabola with vertex at origin

Quad Functions.notebook March 13, 2017 - Wikispaces Form Quadratic... · Quad Functions.notebook March 13, 2017 ... parabola minimum point maximum point axis of symmetry zeros of

Quad Functions.notebook March 13, 2017 - Wikispaces Form Quadratic... · Quad Functions.notebook March 13, 2017 ... parabola minimum point maximum point axis of symmetry zeros of

4 Parabola

4 Parabola

Example 2) Identify the parts of the graph. Axis of ...€¦ · point(s) where the parabola crosses the x axis. Also known as the point where KeyConcept Solutions of a Quadratic Equation

Example 2) Identify the parts of the graph. Axis of ...€¦ · point(s) where the parabola crosses the x axis. Also known as the point where KeyConcept Solutions of a Quadratic Equation

cara setting dan program receiver parabola _ Protech Parabola ™.pdf

cara setting dan program receiver parabola _ Protech Parabola ™.pdf

HIGHER SCHOOL CERTIFICATE - Harder HSC Maths...SET 1 Difference quotients Question 1 The tangent to 2the parabola y=4x−x touches the parabola at (1,3) and intersects the x axis at

HIGHER SCHOOL CERTIFICATE - Harder HSC Maths...SET 1 Difference quotients Question 1 The tangent to 2the parabola y=4x−x touches the parabola at (1,3) and intersects the x axis at

Testing an off-axis parabola with a CGH and a spherical ... · Steward Observatory Mirror Lab is currently polishing an off-axis parabola which will be the primary mirror of the New

Testing an off-axis parabola with a CGH and a spherical ... · Steward Observatory Mirror Lab is currently polishing an off-axis parabola which will be the primary mirror of the New

pARaBOlA SeLFiE - Jackson School District · Use Desmos (online graphing calculator) to graph your parabola: • Insert your parabola into a Desmos graph. Move the parabola so it

pARaBOlA SeLFiE - Jackson School District · Use Desmos (online graphing calculator) to graph your parabola: • Insert your parabola into a Desmos graph. Move the parabola so it

Write the standard equation of a parabola and its axis of symmetry.

Write the standard equation of a parabola and its axis of symmetry.

Quadratic Equations Algebra I. Vocabulary Solutions – Called roots, zeros or x intercepts. The point(s) where the parabola crosses the x axis. Minimum.

Quadratic Equations Algebra I. Vocabulary Solutions – Called roots, zeros or x intercepts. The point(s) where the parabola crosses the x axis. Minimum.

Problem Number. Proposer, Volume .Issue …...Topic: Finding the locus of a point on a line from the x-axis to a parabola Solution: Line segments cut by a parabola 6.1(1975)33 18.

Problem Number. Proposer, Volume .Issue …...Topic: Finding the locus of a point on a line from the x-axis to a parabola Solution: Line segments cut by a parabola 6.1(1975)33 18.