Question

Use transformations and the zeros of the polynomial function f(x) = x(x+3)(x-6) to determine the zeros of each of the following functions.

Answer 1

c) y = f(1/2 x) and d) y=f(2x)

Answer 2

Just replace the x in the factors w/ 1/2 and 2x respectively and equate each to 0
you'll find the zeroes

Answer 3

ohh, i see. alright, thank you!

Answer 4

c.
(1/2)x +3 = 0
Solve for x
(1/2)x -6 = 0
Solve for x
d.
2x+3=0
Solve for x
2x-6=0
Solve for x

Answer 5

by why is the answer for c) 0, -6, 12? D:

Answer 6

there should only be 2 values of x....
1/2x =-3
x=-6

1/2x = 6
x=12

Answer 7

but the answer from the back of my text also has 0..

Answer 8

oh i forgot there's an x haha right

Answer 9

so 0 (0+3)(0-6) =0

Answer 10

what do you mean? o.o

Answer 11

the given equation is x(x+3)(x-6) right?
you are going to look for values of x that would make the resulting value of those =0

Answer 12

yes.
ohh, yup.

Answer 13

so for letter c, y(1/2x)

(1/2)x)((1/2x)+3)((1/2)x-6)
when we make x=0
1/2(0)
Judging by the first factor ....we can already say that the resulting value is 0 because anything multiplied to zero would be zero :D

Answer 14

ohh, okay. thank you!