Question

Which graph best represents the equation y = the square root of the quantity x plus 8?

Answer 1

Hold on, here are the graphs:

http://learn.flvs.net/webdav/assessment_images/educator_algebra1_v17/05_13_part2/05_13_21.gif

http://learn.flvs.net/webdav/assessment_images/educator_algebra1_v17/05_13_part2/05_13_22.gif

http://learn.flvs.net/webdav/assessment_images/educator_algebra1_v17/05_13_part2/05_13_23.gif

http://learn.flvs.net/webdav/assessment_images/educator_algebra1_v17/05_13_part2/05_13_24.gif

Answer 2

the general formula of every (single-variable) function is f(x - h) + k, where f(x) is the parent function and occurs when h = 0 and k = 0

h < 0: f(x) [parent] is moved |h| units to the left.
h > 0: f(x) [parent] is moved |h| units to the right.

k < 0: f(x) [parent] is moved |k| units to the down.
k > 0: f(x) [parent] is moved |k| units to the up.


the parent function of what you gave is sqrt(x)
the actual function is: sqrt(x+8)

this gives h = -8 in the general form.

meaning your function looks like sqrt(x) moved 8 units to the left.

Answer 3

general form of sqrt(x) is:

sqrt(x - h) + k

Answer 4

Ok, but I don't understand the how to plot that on the graph.

Answer 5

btw i can't see the pictures

Answer 6

I mean, I understand what you're typing-oh. You can't?

Answer 7

Hold on. Let me take them, make a file in Paint tool SAI, and upload it. give me 3 minutes or less.

Answer 8

you can draw any graph by plotting a few points. with time and practice you will know exactly what functions look like and be able to graph it without plotting points by hand like this:

Answer 9

i can't use draw >.<

Answer 10

Ok, here's the file:

Answer 11

https://www.google.com/search?q=sqrt(x)

you will want to have a reference point, so use (0, 0).

this point now becomes (-8, 0) and every other point is translated 8 units to the left

Answer 12

i put that because they show a graph on the google page :P

Answer 13

let me know which one you think it is

Answer 14

UUuuuuhhh....I don't think it's any of the ones I put in the file I sent you.

Answer 15

it is. you could even google sqrt(x+8) to see

Answer 16

Ok. Hold on one second.

Answer 17

It's D. The fourth graph!

Answer 18

Right?

Answer 19

no

Answer 20

Aw.

Answer 21

A.

Answer 22

use the reference point at (0, 0) on the graph sqrt(x).

yes, A

Answer 23

Why? Because instead of it being +8, it's going to be -8?

Answer 24

yes. this applies for every function.

the generel form of sqrt(x) is sqrt(x - h) + k

sqrt(x + 8) has h = -8 and k = 0

Answer 25

general*