- Points (3, 2) and (7, 2) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of gopens upward. Which of these
statements are true?

l. The graphs of fand g have the same axis of symmetry.
II. The graphs of fand g have the same x-intercepts.
II. The graph of Fhas a maximum point, and the graph of g has a minimum point.
IV. The graph of fis the result of a reflection of the graph of g across the x-axis.

A. l only

B. ll only

C. ll and lV

D. l and lll

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music. they were asked how they like three types of music: rock, country western and jazz. the results are summarized below: no one dislikes all three types of music. six like all three types of music. eleven don’t like country western. sixteen like jazz. three like country western and jazz, but not rock. six don’t like rock. eight like rock and country western. seven don’t like jazz. how many students were surveyed?