Stretch and shrink math
WebWhen the graph gets wider, it is either a vertical shrink or a horizontal stretch: essentially, shrinking TO the x-axis or stretching AWAY from the y-axis. So, in conclusion: if the graph … Weba stretch or shrink and a refl ection in the x- or y-axis of the graph of y = f(x). Writing Stretches and Shrinks of Functions Let f(x) = ∣ x − 3 ∣ − 5. Write (a) a function g whose graph is a horizontal shrink of the graph of f by a factor of 1— 3, and (b) a function h whose graph is a vertical stretch of the graph of f by a factor ...
Stretch and shrink math
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WebJul 29, 2024 · So to get the graph of h on, say, the interval [ 0, 1] you find the values of f on [ 0, 2] and slide them halfway to the vertical axis. That shrinks the graph of f horizontally. The same kind of analysis explains why g ( x) = f ( x) + 2 shifts the graph up (positive direction) while h ( x) = f ( x + 2) shifts the graph left (negative direction). WebDec 14, 2024 · The provided answer states that g ( x) = 2 x + 3 can be re-written as g ( x) = 2 f ( x) + 3 and is therefore a vertical stretch by a factor of 2 (plus a vertical translation up by 3 units). Well and good. However, g ( x) = 2 x + 3 can also be re-written as g ( x) = f ( 2 x) + 3 and be described as a horizontal shrink by a factor of 1/2.
Weba stretch or shrink and a refl ection in the x- or y-axis of the graph of y = f(x). Writing Stretches and Shrinks of Functions Let f(x) = ∣ x − 3 ∣ − 5. Write (a) a function g whose … WebJan 7, 2024 · For example, to stretch y = f (x) vertically by a factor of 2 we just use y = 2*f (x), but to stretch it horizontally by a factor of 2 we use y = f (x/2). Why isn't it y = f (2x)? Here is an example, based on our function …
WebWe look at vertical stretching and shrinking (compressing), horizontal stretching and shrinking (compressing), reflections (flips) about the x-axis, and reflections (flips) about the y-axis.... Webstretched vertically by a factor of c if c > 1. Similarly, if f is a function and d is a positive constant, then the graph of y = f ( dx) is the graph of y = f ( x ) stretched horizontally by a factor of 1/ d if d < 1 , or. compressed (shrunk) horizontally by a factor of 1/ d if d > 1. y-max:
WebThis is a vertical stretch. In the case of y = f(3x), y = f ( 3 x), the 3 3 is ‘on the inside’; we're multiplying x x by 3 3 before dropping it into the f f box. This is a horizontal shrink. …
WebFeb 13, 2012 · Since math makes sense, you can easily find the answers to all of the questions on that page, and everywhere else in the book, by using the math you've learned since you got the book. What are the answers to test 14 6th grade saxon math book? richard newsome nflWebOct 25, 2016 · Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Sign up to join this community ... (Stretch or shrink) Vertical or horizontal order do not matter. Reflect Vertical or horizontal order do not matter. Shift Vertical or horizontal ... richard newman humber archaeology partnershipWebTo stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ). Here are the graphs of y = f (x), y = 2f (x), and y = x. SparkNotes Plus subscription is $4.99/month or $24.99/year as selected … The second section explains how to stretch and shrink a function--to increase or … red lobster queen street