Question

Which function has the smallest minimum?

Answer 1

where are f(x) and h(x)?

Answer 2

what do you mean? they're both there

Answer 3

oh oops I only saw the graph I though the equation table and graph were all g(x)

Answer 4

well g(x) is ruled out right away since it's minimum is 6 and h(x)'s is 5

Answer 5

TRUE

Answer 6

so let me ask you this:
what is the amplitude of sin(x) (how far away does it get from the x axis?)

Answer 7

you mean f(x)?

Answer 8

wouldn't it be 4?

Answer 9

no we're just talking about plain old y=sin(x) right now

Answer 10

or well ok I guess you skipped that step so yea you're right xD

Answer 11

ok so in a vertex form quadratic equation, (which is what f(x) is except is has a sin function in it) the "c" (11) is how far it is raised from the x axis, and we know the amplitude is 4, which means it's minimum is 11-4=7

Answer 12

or sorry not a quadratic but anyway the point is that 11 is how far it is raised

Answer 13

oh ok so the answer is h(x), right?

Answer 14

i see

Answer 15

yes, the answer is h(x)

Answer 16

thank you so much! u did a great job explaining it!

Answer 17

your welcome! :)