Question

Describe how the transformed function below is obtained from its parent function.
y=(x-10)^3

a.The parent function y=x^3 is shifted 10 units to the right
b.The parent function y=x^3 is shifted 10 units to the left.
c.The parent function y=(-x)^3 is strectched vertically by a factor of 10.
d.The parent function y=x^3 is shifted 10 units down.

Answer 1

you can prolly narrow it down to 2 options right away

Answer 2

nothing is being added to y to move it up or down

nothing is multiplying y to stretch it

the only thing that is modified is the x values .. which determine right and left positions

Answer 3

we love parent functions: since they exist at the origin, 0,0

y = x^3: 0 = 0^3

for what value of x, in the modified version, do we acheive this 0,0 format?

Answer 4

ok, so what would that make it?

Answer 5

again .... for what value of x, in the modified version, do we acheive this 0,0 format?

Answer 6

0,0 is the orign

Answer 7

yes

y = x^3 has a nice 0,0 format

the modified version

y = (x-10)^3 has been moved by x units left or right; so y=0 hasnt changed. just (x-10)^3 = 0 is altered.

when does (x-10)^3 = 0 ?