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Question

 Use your knowledge of quadratic

functions to answer the following questions.



a.

Explain the effect of c on the graph of y = f(x) for the function y = f(x) + c.



b.

Explain the effect of c on the graph of y = f(x) for the function y = f(x + c).




c.

Compare the graphs of y = f(x) and y = -f(x).



d.

Compare the graphs of y = f(x) and y = f(-x).



e.

Explain the effect of c on the graph of y = f(x) for the function y = cf(x).



f.

Explain the effect of c on the graph of y = f(x) for the function y = f(cx).





9. Explain how the graph of each given function is a transformation of the graph of y = x2. (2 points)



a.

y = x^2 - 5



b.

y = -2x^2



c.

y = (x - 5)^2



d.

y = (-3x)^2



10. Write a function for each graph described as a transformation of y = x2.


a.

y = x^2 undergoes a shift left of 2 units, then a reflection through the x-axis.


1 pt

b

y = x^2 undergoes a horizontal stretch by a factor of , then a shift up of 4 units.

Top Answer

a. Explain the effect of c on the graph of y = f ( x ) for the function y = f ( x ) + c . We have y = f ( x ) if we add c to... View the full answer

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