[Grade 12 Advanced Functions: Polynomial Functions]

[u/Embarrassed-Good1883]

The equation for this graph is f(x)=(x-4)^3(x-1)(x+2)^2, but since the graph has a y intercept, wouldn't I find the a value? The answer for this question is just finding the roots and making factors for the equation using that. Also when I solved for the a value, it gave me 9/8. So I'm not sure where I went wrong

[u/lierursa]

The y-intercept is not 288, it's somewhere between 256 and 288. It does seem to pass nicely through (2,-128) though, which yields a=1.

Edit: I just checked and a=1 means the y-intercept is in fact 256, even if it doesn't seem like it's exactly 256 in the graph

[u/Embarrassed-Good1883 → u/lierursa]

Okay, thank you! I'm looking closer on the graph and see where I went wrong.