Question

Graph this f(x)=√x+2-3. I actually have an answer but don't know if it is correct.

Answer 1

mine was similar to this but more accurate on a graph

Answer 2

not exactly... do you understand the shifts and such?

Answer 3

Yes

Answer 4

What I don't understand is how to change the equation to see the shifts (a, h, k)

Answer 5

set whatever is inside the sqrt = 0 and solve. that will get you h. the k is whatever is outside is the k

Answer 6

so I should solve √x+2

Answer 7

set x+2 = 0 and solve for x. that will be your h.

Answer 8

how am I supposed to solve if it is 0 I don't understand.

Answer 9

subtract 2 from both sides to solve for x

Answer 10

so f(x)=0-5?

Answer 11

I mean f(x)= √0-5

Answer 12

\[f(x) = \sqrt{x+2} - 3 \text{, yes or no?}\]

Answer 13

yes

Answer 14

so inside the square root, what value of x makes the inside = 0?

Answer 15

-2

Answer 16

great! that is h. in terms of x, is -2 to the left or right of the origin?

Answer 17

left?

Answer 18

correctamundo!

now, that negative 3 is a shift in the y direction. is that going to be up or down?

Answer 19

down I believe

Answer 20

that's right!
so your graph will pellet 2 to the left and down 3.

Answer 21

shift not pellet

Answer 22

How about the stretch and and reflection? (b and a)?

Answer 23

there isn't any of those in this problem.

if f(x) is the parent, then

g(x) = af(x-h) + k is a horizontal shift of h, a vertical shift of k and a stretch of a if |a|>1 or a compression if |a| <1. if a< 0, then it is a reflection.

Answer 24

see that is not what my teacher taught us, she said we have to factor the x+2 out of the equation to give us all of them but thanks.

Answer 25

i'm not sure what your teacher is going for but i'm really not seeing the connection here.
good luck