Download presentation

Published byGeorgia Fitton Modified over 3 years ago

1
**Algebra II w/ trig 4.1 Quadratic Functions and Transformations**

4.2 Standard Form of the Quadratic Function

2
A parabola is the graph of a quadratic function, which you can write in the form f(x) = ax² + bx + c, where a å 0. The vertex form of the quadratic is f(x) = a(x-h)2+k, where a å 0. The axis of symmetry is a line that divides the parabola into two mirror images. The equation of the axis of symmetry is x = h. The vertex of the parabola is (h, k), the intersection of the parabola and its axis of symmetry.

3
II.The parent quadratic function is f(x) = x². Its graph is a parabola. What is its axis of symmetry? Vertex? Graph and describe. F(x) = -x² B. F(x) = 5x² C. F(x) = ¼x²

4
III. The vertex form, f(x) = a(x-h)² + k , gives you information about the graph of f without drawing the graph. If a>0, k is the minimum value of the function. If a<0, K is the maximum value of the function. Y = 3(x-4)²-2 The vertex is ( , ) The axis of symmetry is Since a ____ 0, the parabola opens _____, and k = ___ is the ___________ value. Domain:__________ Range:_________

5
**IV. Graphing using vertex form. A. B.**

C. f(x) = -3 (x+2)² -1

6
**V. Write the equation of the parabola with the given info. A**

V. Write the equation of the parabola with the given info. A. Vertex (2, 3) AND (0,1) B. Vertex (1,3) and (-2, -15)

7
**VI. Given the parabola, write the equation.**

8
Pre-Ap Homework P. 199 # 7-51odd, and 55

Similar presentations

Presentation is loading. Please wait....

OK

Graphing Quadratic Functions (2.1.1) October 1st, 2015.

Graphing Quadratic Functions (2.1.1) October 1st, 2015.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on basic etiquettes Ppt on cross docking disadvantages Convert pdf ppt to ppt online templates Download ppt on rise of hitler Projector view ppt on android Ppt on any one mathematician john Ppt online training Ppt on issue of shares and debentures Ppt on cross-sectional study in research Ppt on asymptotic notation of algorithms define