What do you notice about 2 and 3? Write out an explanation for what you notice.
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The only difference is that 2 uses "f" and 3 uses "g". You solve them the same way and everything, but the variable is just different

31

each term has a common factor of x. it's 1x because gcf(8,9)=1.

32

g(x) is f(x) reflected in the x axis, y=0

g(x) = - f(x)

choice b

3 is the base for exponentiation; each unit increase in x is a factor of 3 in y.

33.

we need two numbers which add to 12 and multiply to -64. that's 16 and -4.

how do we know it's right? well we could multiply the binomials to check that we get the original quadratic. we could test the implied zeros of x=-16 and x=4, i.e. when x=4, y=4^2+12(4)-64=16+48-64=0, good, so (x-4) is a factor.