If a>1, then the graph of the function will be shrunk compared to the graph of y=x3. If a<1, then the graph of the function will be stretched compared to the graph of y=x3. In the given function, make note of the value of a and determine whether it will result in the ...
Note: the entire parent graph of cosine is shifted to the right π2 units (because the phase shift is a positive value of π2). Also, |B|=|2|=2>1, so the function is horizontally compressed. Example problem 2 - horizontally stretched Graph the function y=32cos(π4x+π2) ...
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Answer to: Explain how the graph of the given function is a transformation of the graph of y= x^2. y= (-3x)^2 By signing up, you'll get thousands...
To put this another way, every function in a family is a transformation of a parent function. For example, the function f(x) = 2x is the linear parent function vertically stretched by a factor of 2; Instead of the function passing through (1, 1) the graph passes through (2, 1): Co...
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Overview of a Logarithmic Scale In the figure below, you can see that the population is increasing at a steeper rate from 1900-to 2000 in the world. The graph is more stretched vertically and makes it difficult to get insights. We created a logarithmic scale version of the above graph ...
A concave up graph has the “U” or bowl right-side up. Note though, that it doesn’t have to look like a perfect “U”: it can be a flattened, scrunched, or stretched. It might even be more like a half of a U, like this: ...
An optical path difference plot is a graph used to represent the phase difference between the light rays that pass through the lens. This plot is important to evaluate the performance of lenses and to correct for aberrations in the optical design. ...
Then we can recognize this as an even degree polynomial, and we reduce to a parent function to get: Parent function:y=x2 Graph the result on agraphing calculator, and this is the parent function. The other parent functions include the simple forms of the trigonometric, cubic, linear, absol...