Question

Which of the following accurately depicts the transformation of y=x^2 to the function shown below?

y=5(x-2)^2+1

A. Shift 5 units right, stretch vertically by a factor of 2, then shift up 1 unit.

B. Shift up 1 unit, stretch horizontally by a factor of 5, then shift left 2 units.

C. Shift right 2 units, shrink vertically to 1/5 of the original height, then shift up 1 unit.

D. Shift right 2 units, stretch vertically by a factor of 5, then shift up 1 unit.

***Idk :(

Answer 1

do u understand this? :D

Answer 2

Compare this to

y = a(x-h)^2 + k

Answer 3

what is 'a', h and k?

Answer 4

a=5
h=2
k=1

Answer 5

what does this mean?

Answer 6

the value of h tells you how to shift left/right

Answer 7

the value of k tells you how to shift up/down

Answer 8

'a' tells you how to stretch and compress vertically

Answer 9

so we shift 2 units right, 1 unit up and 5 units vertically?? stretched??

Answer 10

so this is my answer???

D. Shift right 2 units, stretch vertically by a factor of 5, then shift up 1 unit.

Answer 11

looks perfect

Answer 12

awesome! ;) thx :)

Answer 13

yw