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

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Presentation on theme: "Bellwork: 2/6/18 2) Factor: x2-x-6 (x-6) (2x+5)"— Presentation transcript:

1 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

2 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}

3 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.

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

7 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.

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9 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

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

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13 Domain and Range

14 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.

15 zero of a function

16 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

17 Find the axis of symmetry of each parabola.

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19 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

20 axis of symmetry

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22 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.

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

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

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