Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

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Vertex Form Algebra 2

Transcript of Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

Page 1: Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

Vertex Form

Algebra 2

Page 2: Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

Vertex Form of a Parabola

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y= (a x− )h 2 +k

Vertex (h,k)

Page 3: Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

Vertex Form of a Parabola

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y= (a x− )h 2 +k

Skinnier if… a>1Wider if… 0<a<1

Horizontal Shift

Vertical Shift

Opens Up if… a is positive / Opens Down if… a is negative

Page 4: Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

Example

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y=4(x−2)2 +7

skinny

Shift Right 2

Shift Up 7

Vertex (2,7)

Page 5: Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

Example

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y=−12

x+1( )2- 3

Opens Down Wider

Shift Left 1

Shift Down 3

Vertex (-1,-3)

Page 6: Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

Example

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y=−x- 17( )2

Opens Down

Shift Right 17

No Up/Down Shift

Vertex (17,0)

Page 7: Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

Example

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y= x+9( )2+14

No change

Shift Left 9

Shift Up 14

Vertex (-9,14)

Page 8: Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

Example

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y=−6x2 +11

Opens Down&

No Left/Right Shift

Shift Up 11

Vertex (0,11)Skinnier

Page 9: Vertex Form Algebra 2. Vertex Form of a Parabola Vertex (h,k)

Example

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y=x2

Opens Up

No Left/Right Shift

No Up/Down Shift

Vertex (0,0)

PARENT

FUNCTION!


Parabola Formulas Parabolas (Type 2)Parabolas (Type 1) Vertex Form Vertex: (h, k) Axis: x = h Vertex: (h, k) Axis: y = k Rate: a (+ up / –down) Rate: a.

Parabola Formulas Parabolas (Type 2)Parabolas (Type 1) Vertex Form Vertex: (h, k) Axis: x = h Vertex: (h, k) Axis: y = k Rate: a (+ up / –down) Rate: a.

Special Dpp on Conic Section (Parabola, Ellipse and Hyperbola) … · 2018-10-04 · Dpp's on Conic Section (Parabola, Ellipse, Hyperbola) [2] Q.4 The vertex A of the parabola y 2

Special Dpp on Conic Section (Parabola, Ellipse and Hyperbola) … · 2018-10-04 · Dpp's on Conic Section (Parabola, Ellipse, Hyperbola) [2] Q.4 The vertex A of the parabola y 2

[PPT]The PROBLEM and its BACKGROUND · Web viewEQUATION of a PARABOLA 𝑃(𝑥, 𝑦) 𝐷(𝑥, −𝑐) 𝐹(0, 𝑐) The standard form of the equation of a parabola with vertex

[PPT]The PROBLEM and its BACKGROUND · Web viewEQUATION of a PARABOLA 𝑃(𝑥, 𝑦) 𝐷(𝑥, −𝑐) 𝐹(0, 𝑐) The standard form of the equation of a parabola with vertex

1. Write the parabola in vertex form:. October 7 th.

1. Write the parabola in vertex form:. October 7 th.

mrharrisalgebra2dhs.weebly.com · Mid Unit Test Review Day 1: Vertex Form Identify key characteristics of the parabola given the following quadratic functions in vertex form. 1) f(x)

mrharrisalgebra2dhs.weebly.com · Mid Unit Test Review Day 1: Vertex Form Identify key characteristics of the parabola given the following quadratic functions in vertex form. 1) f(x)

 · Name Write the equation of the parabola in vertex form. Write each function in standard form. Hour p(lJ3) 5. y=—2(x+ -53 6.

 · Name Write the equation of the parabola in vertex form. Write each function in standard form. Hour p(lJ3) 5. y=—2(x+ -53 6.

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

RadfordMathematics.com Vertex Form of the Parabola...RadfordMathematics.com Vertex Form of the Parabola Finding the Equation of a Parabola Worksheet 1 Click on the link in the header

RadfordMathematics.com Vertex Form of the Parabola...RadfordMathematics.com Vertex Form of the Parabola Finding the Equation of a Parabola Worksheet 1 Click on the link in the header

Parabola - massimomarlettablog.files.wordpress.com file-Definition of parabola and related loci (focus, directrix, vertex, etc.)-Classification of parabolas (open upward, open downward)-Equation

Parabola - massimomarlettablog.files.wordpress.com file-Definition of parabola and related loci (focus, directrix, vertex, etc.)-Classification of parabolas (open upward, open downward)-Equation

Parabola and its Vertex Remember, parabolas have equations : The Standard Form for a parabola :

Parabola and its Vertex Remember, parabolas have equations : The Standard Form for a parabola :

3.1 vertex graphing form

3.1 vertex graphing form

Vertex Form Quadratics - Toothpics

Vertex Form Quadratics - Toothpics

A QUADRATIC FUNCTION is a function that can be...(1) Graphing Quadratic Function in Standard form.notebook February 09, 2015 vertex vertex The vertex is the lowest point of a parabola

A QUADRATIC FUNCTION is a function that can be...(1) Graphing Quadratic Function in Standard form.notebook February 09, 2015 vertex vertex The vertex is the lowest point of a parabola

TOPIC 4.2: ANALYTIC GEOMETRY - Multimedia …...Standard form of the equations of a parabola The standard form of the equation of a parabola with vertex at the origin is or The latus

TOPIC 4.2: ANALYTIC GEOMETRY - Multimedia …...Standard form of the equations of a parabola The standard form of the equation of a parabola with vertex at the origin is or The latus

What you’ll learn To graph quadratic functions of the form To identify the axis of symmetry, vertex, domain. range and intercept(s) for a given parabola.

What you’ll learn To graph quadratic functions of the form To identify the axis of symmetry, vertex, domain. range and intercept(s) for a given parabola.

Parabola. Examples Give four examples of equations of parabola all having the vertex (2,3), but one is facing upward, one downward, one to the right.

Parabola. Examples Give four examples of equations of parabola all having the vertex (2,3), but one is facing upward, one downward, one to the right.

alg2excr · A parabola is the U-shaped graph of a quadratic function. DATE The vertex of a parabola is the lowest point of a parabola that opens up, and the highest point of a parabola

alg2excr · A parabola is the U-shaped graph of a quadratic function. DATE The vertex of a parabola is the lowest point of a parabola that opens up, and the highest point of a parabola

The vertex of the parabola is at ( h , k ).

The vertex of the parabola is at ( h , k ).

And the Quadratic Equation……. Parabola - The shape of the graph of y = a(x - h) 2 + k Vertex - The minimum point in a parabola that opens upward or.

And the Quadratic Equation……. Parabola - The shape of the graph of y = a(x - h) 2 + k Vertex - The minimum point in a parabola that opens upward or.

Section 6.4: Vertex Form of a Quadratic Functionholyspiritmath2201.weebly.com/uploads/3/8/6/9/38690503/6... · 2018. 10. 17. · A parabola has vertex at (2, –6) and passes through

Section 6.4: Vertex Form of a Quadratic Functionholyspiritmath2201.weebly.com/uploads/3/8/6/9/38690503/6... · 2018. 10. 17. · A parabola has vertex at (2, –6) and passes through