### Present Remotely

Send the link below via email or IM

CopyPresent to your audience

Start remote presentation- Invited audience members
**will follow you**as you navigate and present - People invited to a presentation
**do not need a Prezi account** - This link expires
**10 minutes**after you close the presentation - A maximum of
**30 users**can follow your presentation - Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

### Make your likes visible on Facebook?

Connect your Facebook account to Prezi and let your likes appear on your timeline.

You can change this under Settings & Account at any time.

# Graphing Quadratic Functions (Complete)

No description

by

Tweet## Math Algebra

on 4 January 2013#### Transcript of Graphing Quadratic Functions (Complete)

Get Ready for the lesson A band's manager figures that the up coming performance will be... f(x) = ax^2 + bx + c Where "x" is the price of one ticket Example Graph a Quadratic Graph f(x) = 2x^2 - 8x +9 x 2x^2 - 8x + 9 f(x) (x, f(x)) 0 1 2 3 4 2(0)^2 - 8(0) + 9 2(3)^2 - 8(3) + 9 2(4)^2 - 8(4) + 9 2(2)^2 - 8(2) + 9 2(1)^2 - 8(1) + 9 9 3 1 3 9 (0,9) (1,3) (2,1) (3,3) (4,9) parabola Quadratic stuff y = ax^2 + bx + c Axis of Symmetry: Middle of the "valley" Vertex: y = x^2 -- very bottom y = -x^2 -- very top Concept y x y = ax^2 + bx + c Quadratic term { { Linear term Constant term { o Axis of Symm. Y - intercept, Vertex, Roots AoS = -(b/2a) y = x^2 + 9 + 8x AoS = -(8/2(1)) AoS = -4 (x,y) x = -(b/2a) Vertex y - intercept x x^2 + 8x + 9 f(x) (x, f(x)) -6 -5 -4 -3 -2 (-6)^2 + 8(-6) + 9 (-5)^2 + 8(-5) + 9 (-3)^2 + 8(-3) + 9 (-2)^2 + 8(-2) + 9 (-4)^2 + 8(-4) + 9 -3 -6 -7 -6 -3 (-6,-3) (-5,-6) (-4,-7) (-3,-6) (-2,-3) (-4,-7) vertex Minimum value is "y" AoS = -(b/2a) f(x) = x^2 - 4x +9 (+)x means min AoS = -(-4/2(1)) AoS = 2 f(x) = x^2 - 4x + 9 f(2) = (2)^2 - 4(2) + 9 f(2) = 5 Domain and range Domain is all real numbers Range is all real numbers greater than or equal to the minimum value {f(x) | f(x) > 5} 5- 1 Graphing Quadratic Functions

Full transcript