Question

Graph the function. How is the graph a translation of f(x) = x2?
( I will attach pictures . ) *

y = (x –1)2 + 3


f(x)
translated down 3 unit(s) and translated to the right 1 unit(s)

f(x)
translated down 3 unit(s) and translated to the left 1 unit(s)

f(x)
translated up 3 unit(s) and translated to the left 1 unit(s)

f(x)
translated up 3 unit(s) and translated to the right 1 unit(s)

Answer 1

what the +3 does to the graph ?

Answer 2

Moves it up 3 times ?

Answer 3

good !
what does subtracting 1 from the x does ?

Answer 4

Moves it to the left 1 unit ?

Answer 5

no.. it moves it to the right! (it might be confusing since for the y
if you add you move the graph up but for the x its the opposite)

Answer 6

now the reason is if you subtract from x
now you need higher values of x to get the same result

Answer 7

if we started with x^2 in order to get 0 we had to plug x = 0
now if we have (x-1)^2 in order to get 0 we need to plug x =1
we shifted it to the right!

Answer 8

Oh , I see . . . So , negative to the right . Positive to the left ?

Answer 9

yes

Answer 10

So , its graph four ? (:

Answer 11

yes !
you can verify it by choosing a point on the graph and see if it agrees with the equation

Answer 12

Yeah . (: . Thank you sooo much .

Answer 13

yw