ANS: a. b. c. d. 6. Consider the function . What are the zeroes of a. f(x)? b. Write in standard polynomial form. f(x) ANS: a. The zeroes of f(x) are x = 0, x = 1, and x = 5. b. Give function rules in the form that have graphs that meet each set of conditions. Explain your reasoning in each case. a. Opens up and has a of 6 y-intercept b. Has a maximum of (3, 8) c. Has of (2, 0) and (8, 0) x-intercepts ANS: Any equation that satisfies where 0 is correct. One example is . a. a b. Any equation of the form where a 0 will have a maximum point at (3, 8). c. If the x-intercepts are (2, 0) and (8, 0), then a function rule must be of the form . Students can then rewrite this rule in vertex form. If a = 1, . In vertex form, this is . Consider the quadratic function . Complete each task by algebraic reasoning alone. Show all of your work to support your answers. a. Rewrite the function rule in vertex form.
ANS: a. b. c. d. 6. Consider the function . a. What are the zeroes of f(x)? b. Write f(x) in standard polynomial form. ANS: a. The zeroes of f(x) are x = 0, x = 1, and x = 5. b. Give function rules in the form that have graphs that meet each set of conditions. Explain your reasoning in each case. a. Opens up and has a y-intercept of 6 b. Has a maximum of (3, 8) c. Has x-intercepts of (2, 0) and (8, 0) ANS: a. Any equation that satisfies where a 0 is correct. One example is . b. Any equation of the form where a 0 will have a maximum point at (3, 8). c. If the x-intercepts are (2, 0) and (8, 0), then a function rule must be of the form . Students can then rewrite this rule in vertex form. If a = 1, . In vertex form, this is . Consider the quadratic function . Complete each task by algebraic reasoning alone. Show all of your work to support your answers. a. Rewrite the function rule in vertex form.
test_review_answers.docx