Mini-Investigation Consider the equation y = x2 9. a. Graph the equation. What are the

Chapter 9, Problem 12

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Mini-Investigation Consider the equation y = x2 9. a. Graph the equation. What are the x-intercepts? b. Write the factored form of the equation. c. How are the x-intercepts related to the original equation? d. Write each equation in factored form. Verify each answer by graphing. i. y = x2 49 ii. y = 16 x2 iii. y = x2 47 iv. y = x2 28 e. An expression in the form a2 b2 is called a difference of two squares. Based on your work in 12ad, make a conjecture about the factored form of a2 b2. f. Graph the equation y = x2 + 4. How many x-intercepts can you see? g. Explain the difficulty in trying to write the equation in 12f in factored form.

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