Answer suppose that g(x) =f(x)-4. which statement best compares the graph of g(x) with the graph of f(x) ?
a. the graph of g(x) is the graph f(x) shifted 4units down
b. the graph of g(x) is the graph of f(x) shifted 4 units to the left
c. the graph of g(x) is the graph of f(x) shifted 4 to the right
d. the graph of g(x) is the graph of f(x) shifted 4units up

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?