Seraphin is comparing the graphs of the parent function y = x2 and the function y = 6(x − 3)2 − 8. He makes the following statements about the new function. • Stretch vertically by a factor of 6.
• Translate 3 units right.
• Translate 8 units up.

Are Seraphin's statements correct? Explain why or why not.

No; Seraphin's first statement is not correct. Because the a-value is positive, the graph should be stretched horizontally by a factor of 6.

No; Seraphin's third statement is not correct. Because the c-value is positive, the graph should be translated 3 units to the left.

No; Seraphin's third statement is not correct. Because the d-value is negative, the graph should be translated 8 units down.

Yes; the statements are all correct.

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.