Quadratic equation graph analysis, comparing the general form, factored form and completed square form.

1) Looking at the General equation, answer fully:[br][br]a. What’s the effect of changing the coefficient “a”?[br]b. What’s the effect of changing the coefficient “c”? [br]c. What can you notice about the effect of changing the coefficient “b”? [br][br]2) Looking at the Completed Square equation, answer fully:[br][br]a. Is the effect of changing “a” different or the same as in the General form? [br]b. What does the coefficients “h” and “k” represent in this equation form?[br]c. What are the effects of changing “h” and “k” on the graph?[br]d. What can you tell about the effects of changing “h” and “k” on the Y-intercept’s value? [br]e. Can you figure a mathematical relation between “c”, “h” and “k”? [br][br]3) Looking at the Factored equation, answer fully:[br][br]a. Is the effect of changing “a” different or the same as in the General form?[br]b. What does the coefficients “x1” and “x2” represent in this equation form?[br]c. What happens when “x1” and “x2” are the same?[br]d. What happens when “x1” and “x2” are the same but with opposite signs?[br]e. Can you figure a mathematical relation between “x1”, “x2” and the vertex? [br]f. Can you figure a mathematical relation between “x1”, “x2” and “c”?