Shifting Reflecting and Sketching Graphs Pre Calculus 1

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Shifting, Reflecting and Sketching Graphs Pre. Calculus 1 -4

Shifting, Reflecting and Sketching Graphs Pre. Calculus 1 -4

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

• Find the direction and the value of the horizontal and vertical shirts

• Find the direction and the value of the horizontal and vertical shirts of the graph of the function to obtain the function Left 5, Down 4 Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

• Find the axis of reflection needed to obtain the graph of the

• Find the axis of reflection needed to obtain the graph of the function from the graph of the function x-axis Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

• Sketch the graph of the function Transformation of Functions

• Sketch the graph of the function Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Transformation of Functions

Below are five graphs. One is the graph of a function f(x) and the

Below are five graphs. One is the graph of a function f(x) and the others include the graphs of 2 f(x), f(2 x), f(x+2), and 2 f(x+2). Determine which is the graph of f(x) and match the other functions with their graphs. 2 f(x+2) 2 f(x) f(x+2) Exploration f(2 x) f(x)

Below are five graphs. One is the graph of a function f(x) and the

Below are five graphs. One is the graph of a function f(x) and the others include the graphs of 2 f(x), f(2 x), f(x+2), and 2 f(x+2). Determine which is the graph of f(x) and match the other functions with their graphs. 2 f(x) f(x+2) f(x) f(2 x) Exploration 2 f(x+2)

• Homework • 1 -4 Shifting, Reflecting, and Sketching Graphs • pg. 48

• Homework • 1 -4 Shifting, Reflecting, and Sketching Graphs • pg. 48 – 50 6, 13, 19 -26, 32, 48, 70 Transformation of Functions

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