Question

f(x)=X(squared)+8

Answer 1

and what do we need to do with this?

Answer 2

state the direction and the # of in which the graph of each function is translatedfrom the graph of f(x) = x squared

Answer 3

this is a graph...sorta of what you got

Answer 4

x^2 normally rests on the x-axis, but this one is moved up by 8 units

Answer 5

since the 1st cooeficient is positive, it open up

Answer 6

would it be wide or narrow

Answer 7

If we let g(x) = \(x^2\) and f(x) = \(x^2+8\). We can see that f(x) will always be 8 units higher on the y axis than g(x) is. Thus f(x) is a translation of the graph of \(x^2\) up 8 units.

Answer 8

it is neither wider nor narrower than x^2, since there is no number other than a 1 infront of the x^2 part.

Answer 9

so it would stay same ok thanx

Answer 10

larger than one tends to make the slope steeper... and narrows the graph

a fraction of a slope tends to flatten the slope and widen the graph

Answer 11

what if there is no y intercept like f(x) = 2x squared

Answer 12

the y intercept is there...its just zero :)

Answer 13

2x^2 +0

Answer 14

oh ok sorry im just startin alegebra 2 x.x a little rusty

Answer 15

y intercept just means tha the line of the graph gets intercepted, cuahgt by, crosses over, the y axis at a certain point. another name for the y axis is x=0. so whenever x=o you can find the y intercept

Answer 16

y = 2(0)^2...the y int = 0

Answer 17

y = (0)^2 + 8

the y int = 8

Answer 18

so if x=o there is no direction?

Answer 19

you have to define what you mean by "direction"

Answer 20

like on the first problem u found out the the graph is going 8 units

Answer 21

y = (x + "moves it side to side")^2 + "moves it up or down"

Answer 22

you understand that little "equation" I made?

Answer 23

i think so like if it were to be f(x)=2x sqaured the y will be a zero? so that will mean it has no direction?

Answer 24

correct as far as I am understaning your choice for "direction".. it simply means that the graph itself hasnt moved anywhere....but that "2" there means that the graph did get steeper...narrower

Answer 25

ok thank u :D

Answer 26

ok one more question how would u graph all of this usin y=mx+b or no

Answer 27

id go with no,....

y = mx +b makes a line...not a curve

y = Mx^2 + b makes a curve since it has a "2" on the x. starts to bend the line