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QQ: Find the domain and range of the function: f(x) = - |x - 3| - 2.

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Presentation on theme: "QQ: Find the domain and range of the function: f(x) = - |x - 3| - 2."— Presentation transcript:

1 QQ: Find the domain and range of the function: f(x) = - |x - 3| - 2. What would you need to add to the function g(x) = (x-3)2 -3 to move the vertex to (3,4)? Find the vertex of each of these functions: f(x) = -x c) g(x) = 2(x + 3)2 -4 h(x) = (x + 6)2 -4 d) k(x) = (x -4)

2 QQ: Find the domain and range of the function: f(x) = - |x - 3| - 2 Domain: (-∞, ∞) Range: (-∞, -2]

3 What would you need to add to the function
g(x) = (x-3)2 -3 to move the vertex to (3,4)?

4 Find the vertex of each of these functions:
f(x) = -x c) g(x) = (x + 3)2 -4 h(x) = (x + 6)2 -4 d) k(x) = (x - 4)2 + 8 (0, 4) (-3, -4) (-6, -4) (4, 8)

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6

7 The square reflected across line L.
Which is the new position? A B C D

8 The line is reflected across line L.
What is the new position? A B D C

9 A B C D The L-shape A’B’C’D’E’F’ is the image
of the L-shape ABCDEF after reflection in which of the following lines? A The x-axis B The line y = 2 C The line x = 2 D The line y = x

10 A B C D About which line should ABCD be Reflecting to get A’B’C’D’?
The line x = -1 B The line y = -1 C The y-axis D The line y = x

11 A B C D The y-axis The x-axis The line y = x The line y = -x
Rectangle A′B′C′D′ is the image of rectangle ABCD after reflection in which of the following lines? A The y-axis B The x-axis C The line y = x D The line y = -x

12 A B C D The y-axis The x-axis The line x = -3 The line y = -x
The L-shape A′B′C′D′E′F′ is the image of the L-shape ABCDEF after reflection in which of the following lines?. A The y-axis B The x-axis C The line x = -3 D The line y = -x

13 Rectangle ABCD is reflected in the line y = -1
Rectangle ABCD is reflected in the line y = -1. What is the image of the point C?. A (4, -4) B (4, -7) C (4,0) D (-6, 2)

14 Vertex Form

15 Use the graph to write the equation. Use the equation to draw a graph.

16 Goes through the vertex of a graph
Axis of Symmetry: Goes through the vertex of a graph

17 How to find the axis-of- symmetry:
Find vertex    the axis of symmetry is x =

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