# Section 6 3 Interpreting Vertex Form And Standard

- Slides: 16

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

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

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 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) 6

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

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. 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. 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 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 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 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 standard form? 15

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

- H and k in vertex form
- Standard to vertex form
- Parts of the parabola
- In vertex form
- How to convert from vertex form to standard form
- Intercept form
- How to find a in vertex form
- Standard form parabola
- General form to vertex form
- Interpreting graphics use with section 16.1 answers
- Simplex standard form
- Circle standard form
- Standard circle equation
- Quadratic equations factored form
- How to turn standard form into slope intercept
- Converting to slope intercept form
- Standard form of a circle