Can someone help me understand these types of questions?

[lusty lion]

The equation of the function has four coefficients and you're given four points it passes through.
By substituting those points into the equation you get a system of four linear equations, from whcih you can find the coefficients.

[white condor]

alternatively if you’re given the roots i’d write it in root form and expand

dyk what that is

[lusty lion]

Oh yeah! That works even better in this case, a lot faster.

[shy monolith]

yup but idk how to write it

i got the a(x+1)(x-2)(x-3)

i think it is?

idk this is the first time im doing this lol my teacher has an accent that i cant understand for the life of me

[white condor]

yup

do you know how to solve for a?

[shy monolith]

no idea haha

[lusty lion]

Note that you're given a point (0, 2) that the function also passes through.

[shy monolith]

idk what that would mean tho in the terms of the equations

[lusty lion]

Well, since your function is f(x) = a(x + 1)(x - 2)(x - 3), that means that f(0) = 2.

[shy monolith]

mhm

[lusty lion]

Well, try substituting the given point.

You can find a that way.

[shy monolith]

ah

okayt

thank you 😄

[lusty lion]

Try it, let's check the value first.

[tacit harbor]

@shy monolith

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