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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.
Solve x 2 -10 Solution There is a quite simple procedure to solving these. If you can memorize it you'll always be able to solve these kinds of inequalities. Step 1:
2(5+6csquared)-30divided by 3 c=2 d=4
y^2+3y+2=0
Ask question #15/16 to the percentage
7 ?(2+N)2 N=0
Veronica''s family ordered 2 pizzas that cost $13.75 each and 2 pitchers of soda that cost $3.95 each. The total cost included a sales tax of 5.5%. They left 20% of the total cost
I have 10 apples and my friend has 100 apples.How many apples do we have ?
(x-y+z)2=
Sketch the graph of P ( x ) = 5x 5 - 20x 4 + 5x 3 + 50x2 - 20x - 40 . Solution We set up the zeroes & multiplicities of this polynomial in the previous section hence
is force applied to the brakes on a car, and stopping distance a direct variation?
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