Section 6 3 Interpreting Vertex Form And Standard

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Section 6. 3: Interpreting Vertex Form And Standard Form 1

Section 6. 3: Interpreting Vertex Form And Standard Form 1

Objective: By following instructions, students will be able to: 1. Change the vertex form

Objective: By following instructions, students will be able to: 1. Change the vertex form of a quadratic function to standard form. 2

Vertex Form: Vertex: (h, k) Standard Form: Vertex: 3

Vertex Form: Vertex: (h, k) Standard Form: Vertex: 3

explain 1 A Determine whether the function represented is quadratic. If so, give the

explain 1 A Determine whether the function represented is quadratic. If so, give the axis of symmetry and the coordinates of the vertex. 4

explain 1 A Determine whether the function represented is quadratic. If so, give the

explain 1 A Determine whether the function represented is quadratic. If so, give the axis of symmetry and the coordinates of the vertex. 5

Your-Turn #1 Determine whether the function represented by each equation is quadratic. a) b)

Your-Turn #1 Determine whether the function represented by each equation is quadratic. a) b) 6

explain 2 A Rewrite the quadratic function from vertex form to standard form. 7

explain 2 A Rewrite the quadratic function from vertex form to standard form. 7

explain 2 B Rewrite the quadratic function from vertex form to standard form. 8

explain 2 B Rewrite the quadratic function from vertex form to standard form. 8

Your-Turn #2 Rewrite a quadratic function from vertex form to standard form. a) b)

Your-Turn #2 Rewrite a quadratic function from vertex form to standard form. a) b) 9

explain 3 A Use the table to write a quadratic function in vertex form.

explain 3 A Use the table to write a quadratic function in vertex form. Then rewrite the function in standard form. X Y -6 9 -4 1 -3 0 -2 1 0 9 10

explain 3 B Use the table to write a quadratic function in vertex form.

explain 3 B Use the table to write a quadratic function in vertex form. Then rewrite the function in standard form. X Y 0 13 -1 1 -2 -3 -3 1 -4 13 11

Your-Turn #3 Use the table to write a quadratic function in vertex form. Then

Your-Turn #3 Use the table to write a quadratic function in vertex form. Then rewrite the function in standard form. X Y -1 59 1 11 2 5 3 11 5 59 12

explain 4 A Use the graph to find an equation for f(t). A house

explain 4 A Use the graph to find an equation for f(t). A house painter standing on a ladder drops a paintbrush, which falls to the ground. The paintbrush’s height above the ground (in feet) is given by a function of the form Where t is the time (in seconds) after the paintbrush is dropped. 13

explain 4 B Use the graph to find an equation for f(t). A rock

explain 4 B Use the graph to find an equation for f(t). A rock is knocked off a cliff into the water far below. The falling rock’s height above the water (in feet) is given by a function of the form Where t is the time (in seconds) after the rock begins to fall. 14

Revisit Objective: Did we… 1. Change the vertex form of a quadratic function to

Revisit Objective: Did we… 1. Change the vertex form of a quadratic function to standard form? 15

HW: Sec 6. 3 pg 185 #s 1 -23 ODD 16

HW: Sec 6. 3 pg 185 #s 1 -23 ODD 16

VERTEX FORM Vertex Form Vertex form is anotherVERTEX FORM Vertex Form Vertex form is another
STANDARD FORM STANDARD FORM For standard form equationsSTANDARD FORM STANDARD FORM For standard form equations
Vertex Form Quadratic Function in Vertex Form yVertex Form Quadratic Function in Vertex Form y
Distributed Vertex Coloring 1 Vertex Coloring each vertexDistributed Vertex Coloring 1 Vertex Coloring each vertex
Distributed Vertex Coloring 1 Vertex Coloring each vertexDistributed Vertex Coloring 1 Vertex Coloring each vertex
Vertex Form Reflection Match the graph vertex equationVertex Form Reflection Match the graph vertex equation
Intercept Standard and Vertex Form Unit 1 SolvingIntercept Standard and Vertex Form Unit 1 Solving
Vertex and Intercept Form of Quadratic Function StandardVertex and Intercept Form of Quadratic Function Standard
Standard Form The standard form of any quadraticStandard Form The standard form of any quadratic
Grade B Standard Form Understand use standard formGrade B Standard Form Understand use standard form
Numeracy in Science Standard Form Standard form isNumeracy in Science Standard Form Standard form is
Standard Form The standard form of any quadraticStandard Form The standard form of any quadratic
EQUATIONS OF LINES IN STANDARD FORM Standard FormEQUATIONS OF LINES IN STANDARD FORM Standard Form
Standard Form A number expressed in standard formStandard Form A number expressed in standard form
Standard Form Multiplying Dividing Standard Form NonCalculator BingoStandard Form Multiplying Dividing Standard Form NonCalculator Bingo