Question

Which statement describes the translation of the graph of y = -2(x - 3)2 + 5 from standard position?

A) Moved up and to the right.
B) Moved up and to the left.
C) Moved down and to the right.
D) Moved down and to the left.

Answer 1

y = (x-h)^2 + k

(h,k) is vertex relative to origin
determine your h and k and that will tell you where the graph moves
positive h moves right
positive k moves up

Answer 2

how do i determine my h and my k? @dumbcow

Answer 3

just look at the equation...it has to match the form y = (x-h)^2 +k
what numbers are in the place for h and k

Answer 4

3 and 5?

Answer 5

correct

Answer 6

so up and right?

Answer 7

yep..easy right

Answer 8

very easy aha thank you!... do you mind helping me with one more?

Answer 9

sure

Answer 10

What is the range of the graph of y = -3(x - 4)2 + 1?

Answer 11

range has to do with possible y values

if parabola is negative or opens down then range is everything less than or equal to vertex (k value)

if parabola is positive or opens up then range is everything greater than or equal to vertex (k value)

find "k" just like last one

Answer 12

k = 1

Answer 13

correct, now does this parabola open up or down?

Answer 14

up?

Answer 15

nope ok you have to look at the sign of number in front of the "(x-h)^2" part
positive --> up
negative--> down

Answer 16

so it would open down

Answer 17

so it would be y > or equal to 1?

Answer 18

read over my post above...what is it when it opens down?

also just imagine what the graph of parabola opening down would look like
what are possible y values

Answer 19

well when it opens down it is a negative...