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Vertical Compression By A Factor Of 1/3. State the order and type of each transformation of the graph of the function 3 2 9. It is also important to note that, unlike horizontal compression, if a function is vertically transformed by a constant c where 0<c<<strong>1</strong>, then that function is said to be compressed by a factor of c.
Algebra II Page 3 eMathInstruction from www.emathinstruction.com
Let g (x) be a function which represents f (x) after the vertical compression by a factor of 2. Multiply all range values by a a. If the constant is between 0 and 1, we get a vertical compression.
(1) A Vertical Compression Of 2/3 Is Achieved By Multiplying The Function By 2/3.
This means that the function g(x) is the result of f(x) being horizontally compressed by a scale factor of 3. There is a vertical stretch by a factor of 1/2, and a horizontal stretch by a factor of 1/2 because you would have to multiply all previous input values by 1/2 to get the same output as f (x). Identify the value of a a.
Vertical Compression By A Factor Of 1/2 Vertical Compression By A Factor Of 1/2.
We will compare each to the graph of y = x2. The vertical compression factor becomes a factor outside the parentheses, as you say. What is a vertical compression by a factor of 1 3?
If The Constant Is Between 0 And 1, We Get A Vertical Compression.
Reflecting a function about the y axis changes x to the opposite of x. For example, if we begin by graphing the. But what you are doing with the reflection about the y axis makes no sense.
The Equation That Has Vertical Compression By A Factor Of 1/3, Vertical Shift Up 5 Units Will Be Y = (1/3)X² + 5.
Since we do vertical compression by the factor 2, we have to replace x2 by (1/2)x2 in f (x) to get g (x). Lsu 2003 national championship 0 comments vertical compression by a factor of 1/2 3 horizontal compression by a factor of 1 3 c 1.
If The Constant Is Greater Than 1, We Get A Vertical Stretch;
Compared to the graph of y = x2, y = x 2, the graph of f(x)= 2x2 f ( x) = 2 x 2 is expanded, or stretched, vertically by a factor of 2. 3 horizontal compression by a factor of 1 3 c 1 vertical translation 1 unit down. Since we do vertical compression by the factor 2, we have to replace x2 by (1/2)x2 in f (x) to get g (x).
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