4 2 STANDARD FORM OF A QUADRATIC FUNCTION

4. 2 STANDARD FORM OF A QUADRATIC FUNCTION Learning Goal Graph quadratic functions written in standard form

QUADRATIC FUNCTION IN STANDARD FORM standard property positive a negative a axis of symmetry vertex y-intercept f o r m : characteristic opens up opens down

FINDING THE VERTEX OF A PARABOLA equation standard form vertex

EX 1 Find the axis of symmetry, vertex, y-intercept, min/max value, domain, and range. aos vertex yintercept max/min domain range

EX 2 aos vertex yintercept max/min domain range Find the axis of symmetry, vertex, yintercept, min/max value, domain, and range, and graph.

EX 3 aos vertex yintercept max/min domain range Find the axis of symmetry, vertex, yintercept, min/max value, domain, and range, and graph.

EXIT SLIP Identify the vertex, the axis of symmetry, the maximum or minimum value, and the range for the parabola. Homework: Page 206 #8, 11, 19, 21

CONVERTING FROM EX STANDARD FORM TO 4 VERTEX FORM 1. 2. 3. 4. Find the vertex Find a (same for both forms) Plug values into the vertex form Simplify

EX 5: WRITE THE FUNCTION IN VERTEX FORM

EX 6: SKETCH THE PARABOLA USING THE GIVEN INFORMATION a) vertex(-1, -4) y-intercept 3 b) vertex (2, 3), point (6, 9)

EX 5 The New River Gorge Bridge in West Virginia is the world’s largest steel single arch bridge. It can be modeled with the function shown, where x and y are in feet. How high above the river is the arch? How long is the section of bridge above the arch?

USE SHOWDOWN STRATEGY TO COMPLETE THE WORKSHEET…

EXIT SLIP Write the function in vertex form: HOMEWORK: Page 206 #26, 27, 32, 33, 35