Question

Really Need Help Here, Clueless: Describe how the graph of y= x^2 can be transformed to the graph of the given equation.

y = x^2 - 14

Answer 1

@phi

Answer 2

You shouldn't be clueless; you must have some notes related to this or something.

Eg. y = x^2 + 3 can be obtained by shifting the graph of y = x^2 up 3 units.

Answer 3

well i am, I started learning it but I still don't get it. So I am thinking it would be: Shift the graph of y = x^2 down 14 units ??

Answer 4

?

Answer 5

Yes

Answer 6

and I am confused on one more. It is: Describe how the graph of y= x^2 can be transformed to the graph of the given equation.

y = (x-14)^2 - 9.

I am confused to if it would be: A. Shift the graph of y = x^2 down 14 units and then left 9 units or B. Shift the graph of y = x^2 left 14 units and then down 9 units.

how would I figure out which one? I can't decide

Answer 7

What if it just said y= x^2 - 9?

Answer 8

Neither of those are right btw

Answer 9

if you start with
y= x^2

you "put in an x" and "get out a y"
if you added -14 to the equation:
y= x^2 -14
the "new y" is less than the old y (by 14)
if you plotted the "old y" and the new y, the new y is 14 steps below the old y

Answer 10

for your problem, where the new y is
y = (x-14)^2 - 9.

which shows -9 being added. that shifts the graph which way compared to y=(x-14)^2 ?

Answer 11

when you "add -14" to the x (i.e. change x^2 to (x-14)^2 )
that shifts the graph sideways (by 14). The only problem is it's "backwards" (so very confusing) x-14 shifts the graph 14 to the right (and x+14 would shift 14 to the left)

Answer 12

@phi @agent0smith oh wow and I forgot it was a horizontal translation. I figured out that it would shift to the right actually and not left since it is a horizontal translation. SO, my answer is (what I think, anyways): Shift the graph of y = x^2 right 14 units and then down 9 units.

Answer 13

@agent0smith

Answer 14

@agent0smith hello?

Answer 15

@agent0smith

Answer 16

@mathstudent55 @imqwerty