Question

Consider the following function.

Answer 1

Is there more to the question?

Answer 2

yes

Answer 3

alright so whats the parent function

Answer 4

(X + 5)^3

Answer 5

basic function is \[f(x)=\frac{1}{x^2}\]

Answer 6

ok , which ones are right ?

Answer 7

@snowflake0531

Answer 8

@tranquility

Answer 9

https://www.desmos.com/calculator/6badskjjr2

Answer 10

@vocaloid

Answer 11

@snowflake

Answer 12

Parent function is y=1/x^2. To look at whether they shifted up or down (vertically) or across (horizontally) it is important to know how this graph works.
When a graph has any number outside of the actual variable such as the 2 in 6x-2, or the 5 in x^2+5, it means that it is performing a vertical shift. All it simply is doing is, it is shifting up and down. if negative, it shifts down vertically, and positive will shift up vertically.
When a number such as (x-2)^2, the 2 WITH the x variable that is being added or subtracted is the horizontal stretch.
let's consider an equation: \[1/(x+5)^2\]
This is a horizontal stretch. However, it says (x+5), so you would move left 5 times. if it had said (x-5) it would move right 5 times.
Lastly, if there is a negative or positive sign behind the whole equation, it is a reflectional change. Negative will flip the whole equation beside the x axis, and you would keep it standard if positive.

Answer 13

really

Answer 14

Huh?

Answer 15

for what you said

Answer 16

yes. lol.

Answer 17

ok can you check if my answers right

Answer 18

Yep

Answer 19

Horizontal Shift

Left and 5 units

correct ?

Answer 20

Yes

Answer 21

Vertical Stretch/Compress

Stretch 4 units

Answer 22

is that correct

Answer 23

Where did you get four from

Answer 24

in the graph , i saw the wrong place

Answer 25

i think

Answer 26

it was a compress i believe

Answer 27

There is no four in this post you posted a pic of.

Answer 28

oh i'm sorry , i had the answer wrong on there ... could you point it out to me to know what it is

Answer 29

What number is in that equation other than the 5

Answer 30

3

Answer 31

What is done to that 3?

Answer 32

-

Answer 33

subtracted

Answer 34

So what would that mean

Answer 35

it's -3

Answer 36

yes, so what does that do to the graph?

Answer 37

ummm

Answer 38

It would shift the graph vertically down by 3

Answer 39

okay , i got that

x axis is no

y axis is yes

correct ?

Answer 40

No, the negative out front is a reflection on the x axis

Answer 41

oh my mistake

Answer 42

is it right

Answer 43

Yes

Answer 44

ok i need help on something else

Answer 45

I'm doing homework atm. But feel free to make a new post.

Answer 46

okay i understand