M.A18.71
Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
Example Problems
The parabola is shifted down by .
What is the equation of the new parabola?
What is the equation of the new parabola?
The parabola is shifted up by 9 units.
What is the equation of the new parabola?
What is the equation of the new parabola?
The parabola is shifted down by 3 units and to the right by 1 unit.
What is the equation of the new parabola?
What is the equation of the new parabola?

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