Bellwork: 2/6/18 2) Factor: x2-x-6 (x-6) (2x+5)

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Objectives Identify quadratic functions and determine whether they have a minimum or maximum. Graph a quadratic function and give its domain and range.
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Presentation transcript:

Bellwork: 2/6/18 2) Factor: x2-x-6 (x-6) (2x+5) 1) Find the area of the figure: (x-6) (2x+5) 2) Factor: x2-x-6

Bellwork: 2/5/18 1. Evaluate x2 + 5x for x = 4 and x = –3. 2. Generate ordered pairs for the function f(x) = x2 + 2 with the given domain. D: {–2, –1, 0, 1, 2}

Quadratic Functions We will... Identify quadratic functions and determine whether they have a minimum or maximum. Graph a quadratic function and give its domain and range.

x-intercepts: zeros of the function quadratic function Parabola x-intercepts: zeros of the function axis of symmetry

Identify the vertex and axis of symmetry of each parabola Identify the vertex and axis of symmetry of each parabola. Write if vertex is a minimum or maximum.

Tell whether the function is quadratic. Explain. y = 7x + 3 y + x = 2x2 y – 10x2 = 9 {(–2, 4), (–1, 1), (0, 0), (1, 1), (2, 4)} y + x = 2x2

Graph Identify vertex, axis of symmetry, domain and range y = x2 + 2 y = –4x2 y = –3x2 + 1

Domain and Range

Quadratic Functions We will... Find the zeros of a quadratic function from its 
graph. Find the axis of symmetry and the vertex of a 
parabola.

zero of a function

Identify the zeros, the vertex, and the axis of symmetry. f(x) = x2 + 8x + 16 f(x) = x2 – 2x – 3 y = –2x2 – 2 y = –4x2 – 2

Find the axis of symmetry of each parabola.

Find the zeros of the quadratic function from its graph Find the zeros of the quadratic function from its graph. 
Check your answer. y = x2 – 6x + 9

axis of symmetry

Find the axis of symmetry of the graph of y = –3x2 + 10x + 9. Find the axis of symmetry of the graph of y = 2x2 + x + 3.

y = –3x2 + 6x – 7 Find the a.o.s, vertex, opens up/down, y-intercept. y = 0.25x2 + 2x + 3 y = x2 – 4x – 10

The height of a small rise in a roller coaster track is 
modeled by f(x) = –0.07x2 + 0.42x + 6.37, where x is the 
distance in feet from a supported pole at ground level. 
Find the greatest height of the rise.