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By using transformations sketch the graph of the given functions.
h ( x ) = ( x + 2)3
Solution
With these we have to first identify the "base" function. i.e. the function that's being shifted. In this case it seem like we are shifting f ( x ) = x3 . Then we can see that,
h ( x ) = ( x + 2)3 = f (x + 2)
In this case c = 2 and thus we're going to shift the graph of f ( x ) = x3 (the dotted line on the graph below) & move it 2 units to the left. It will mean subtracting two from the x coordinates of all the points on f ( x ) = x3 .
Following is the graph for this problem.
Ask questionteachme how to graph points convert fractions to deciams #Minimum 100 words accepted#
Properties of f( x ) = b x 1. The graph of f( x ) will always have the point (0,1). Or put another way, f(0) = 1 in spite of of the value of b. 2. For every possible b b x
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Sketch the graph of function. f ( x ) =3x + 6 /x -1 Solution Thus, we'll start off with the intercepts. The y-intercept is, f (0) =6/-1=-6⇒ (0, -6)
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