![]() You should use the terminology of your own classroom and textbook, and not worry if others differ. This is an area where it is dangerous to get information online, because different sources use different terminology, which sometimes seems (or actually is) contradictory. compression by a factor of 3, which would have to mean that k = 1/3 because 1/ 1/3 = 3. but the transformation in the question was clearly stated as a hori. compression by a factor of 1/k, which would be 1/3. If what I read online was true then this would be a hori. I am confused about why it would be 1/3x because then that means that k = 3. The answer for the mapping rule if this was the only transformation would be (1/3x, y). ![]() Of course, to do this I would have to take these transformations and create a mapping rule. I am very confused because what I read online contrasts what I have been taught, as I believe that you could call most transformations affecting "a" and "k" a stretch but maybe not a compression.Īlso, on one question I was told to map f(x) = sqrt(x) after I apply multiple transformations. Would this also be a vertical compression by a factor of 1/2 based on what I saw online? In this example, k=2, so if I followed what I saw online then this would be a horizontal compression by a factor of 1/2? I am also confused because when I search online, sources tell me that when a > 1, there is a vertical stretch by a factor of "a", but in my case a < 1 and I believe it is still a vert. What would the vertical and horizontal compression be and why? Would the horizontal compression be by a factor of 2 because you would have to divide all previous input values by 2 to get the same output? But this logic also contrasts what I saw online in which said that it is a hori. 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). For example, pay, whereas it can have an infinite value.If you know what f(x) is and g(x) = 1/2f+4 However, money is continuous because it can have many and any value and be of any amount, considerably. The half of a penny cannot be valued, unless we had a half a penny coin, therefore is discrete. Explicit Definition - A definition of a function by a formula in terms of the variable. Even half sizes are still not really measurement but whole number, because there is nothing between size 8 and 8 1/2.ĭiscrete Function - A function that is defined only for a set of numbers that can be listed, such as the set of whole numbers or the set of integers. Shoe size is whole number ( discrete), but the underlying measure is foot length which is measurement ( continuous) data. In Plain English: A discrete function allows the x-values to be only certain points in the interval, usually only integers or whole numbers. In Plain English: A continuous function allows the x-values to be ANY points in the interval, including fractions, decimals, and irrational values. ![]() In general, a vertical stretch is given by the equation y=bf(x) y = b f ( x ). Key Points When by either f(x) or x is multiplied by a number, functions can “ stretch” or “shrink” vertically or horizontally, respectively, when graphed. ![]() What is a vertical and horizontal stretch? If 0 1 then you have a vertical stretching. When you multiply a function by a positive a you will be performing either a vertical compression or vertical stretching of the graph. If a is between 0 and 1, then the function is vertically compressed by a factor of a.Īlso to know is, how do you know if its a vertical stretch or compression? If a is larger than 1, then the function is vertically stretched by a factor of a. Given a function y=f(x) y = f ( x ), the form y=f(bx) y = f ( b x ) results in a horizontal stretch or compression.Īlso, how do you write vertical compression? Parent functions can be vertically stretched or compressed by multiplying the function by some value a. If the constant is between 0 and 1, we get a horizontal stretch if the constant is greater than 1, we get a horizontal compression of the function.
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