Question

What is the vertical shift for the graph of f(x) = (x + 5)3 - 7?
A. Down 5
B. Up 5
C. Down 7
D. Up 7
@jim_thompson5910 I found C, is that correct? I'm not so familiar with this formula equation.

Answer 1

Can I help?

Answer 2

This is awesome. Helping YOU!

Answer 3

So....

Parent function: f'(x)

Answer 4

f prime

Answer 5

SO is it C?

Answer 6

Yes

Answer 7

Vertical shift works that way

Answer 8

awesome sauce. you're sure? :D

Answer 9

Ex: f(x)=1

f(x)+1=1+

Answer 10

f(x)=1+1

Answer 11

so the outside number affects the whole equation.

Answer 12

The inside number, 5, shifts it vertically.
The multplier is a scalaar multiplier, 3,

Answer 13

Do you want to think about it for it to make sense more?

Answer 14

Imagine this:
f(x)=x

Answer 15

Bad example sorry

Answer 16

So you see:
Since the -7 is outside, it affects the final number, which makes it move vertically.

Answer 17

So f(x)=whatever
f(x)-7=always7 lower

Answer 18

The reason why the inside number does a horizontal shift:
ex: f(1)

the inside number will do this:
f(1+b)

which gives it a new x value which means, applied to the whole equation, the whole thing will be forced to "shift"

Answer 19

Is this making sense?

Answer 20

yes

Answer 21

ok Do you need more explanation?