1. 4.2 Standard Form of a Quadratic Function
Learning Goal
Graph quadratic functions written in standard form

2. Quadratic Function in Standard Form
property
characteristic
positive a
opens up
negative a
opens down
axis of symmetry
vertex
y-intercept

3. Finding the vertex of a parabola
equation
vertex
standard form
vertex form

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

5. Ex 2
Find the axis of symmetry, vertex, y-intercept, min/max value, domain, and range, and graph.
aos
vertex
y-intercept
max/min
domain
range

6. Ex 3
Find the axis of symmetry, vertex, y-intercept, min/max value, domain, and range, and graph.
aos
vertex
y-intercept
max/min
domain
range

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

8. Converting from standard form to vertex form
Find the vertex
Find a (same for both forms)
Plug values into the vertex form
Simplify

9. Ex 5: Write the function in vertex form

10. Ex 6: Sketch the parabola using the given information
vertex(-1,-4) y-intercept 3
vertex (2,3), point (6,9)

11. 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?

12. USE SHOWDOWN STRATEGY TO COMPLETE THE WORKSHEET…

13. Exit Slip HOMEWORK: Page 206 #26, 27, 32, 33, 35
Write the function in vertex form:
HOMEWORK: Page 206 #26, 27, 32, 33, 35