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Magazine Problem 1
Use your graphing calculator to sketch the graphs of \(f(x)=x^{2}, g(x)=2 x^{2}\), and \(h(x)=4 x^{2}\) on one screen. Write a short sentence explaining what you learned in this exercise.
Problem 2
Use your graphing calculator to sketch the graphs of \(f(x)=-x^{2}, g(x)=-2 x^{2}\), and \(h(x)=-4 x^{2}\) on one screen. Write a short sentence explaining what you learned in this exercise.
Problem 3
Use your graphing calculator to sketch the graphs of \(f(x)=x^{2}, g(x)=(x-2)^{2}\), and \(h(x)=(x-4)^{2}\) on one screen. Write a short sentence explaining what you learned in this exercise.
Problem 4
Use your graphing calculator to sketch the graphs of \(f(x)=x^{2}, g(x)=(x+2)^{2}\), and \(h(x)=(x+4)^{2}\) on one screen. Write a short sentence explaining what you learned in this exercise.
Problem 5
Use your graphing calculator to sketch the graphs of \(f(x)=x^{2}, g(x)=x^{2}+2\), and \(h(x)=x^{2}+4\) on one screen. Write a short sentence explaining what you learned in this exercise.
Problem 6
Use your graphing calculator to sketch the graphs of \(f(x)=x^{2}, g(x)=x^{2}-2\), and \(h(x)=x^{2}-4\) on one screen. Write a short sentence explaining what you learned in this exercise.
Problem 7
Write down the given quadratic function on your homework paper, then state the coordinates of the vertex. $$f(x)=-5(x-4)^{2}-5$$
Problem 8
Write down the given quadratic function on your homework paper, then state the coordinates of the vertex. $$f(x)=5(x+3)^{2}-7$$
Problem 9
Write down the given quadratic function on your homework paper, then state the coordinates of the vertex. $$f(x)=3(x+1)^{2}$$
Problem 10
Write down the given quadratic function on your homework paper, then state the coordinates of the vertex. $$f(x)=\frac{7}{5}\left(x+\frac{5}{9}\right)^{2}-\frac{3}{4}$$
