TMUA Yotta Paper 1 · Question 6

$f(x)$ is a polynomial function defined for all real $x$ . Given that $f(x^2-12x+45)$ has two roots at $x=-3$ and $x=15$ , and has a minimum value of $-20$ , which row correctly describes $f(9x^2-30x+34)$ ?

ARoots:

x=-1

and

x=5

; minimum value:

-20

BRoots:

x=-\frac43

and

x=\frac{14}3

; minimum value:

-20

CRoots:

x=-\frac23

and

x=\frac{16}3

; minimum value:

-20

DRoots:

x=-1

and

x=42

; minimum value:

-20

ERoots:

x=-12

and

x=5

; minimum value:

-60

FRoots:

x=-1

and

x=42

; minimum value:

-180

examday

Yotta Paper 1 · Q6