Question

Which of the following equations will produce the graph shown below?

(will attach graph and answer choices in a sec!)

Answer 1

GRAPH

Answer 2

answer choices A,B,C,D from top to bottom

Answer 3

what is the vertex of that given graph?

Answer 4

(-2,-2)
???

Answer 5

so you had to do what to the vertex to get it there?

Answer 6

the vertex of y = x^2

Answer 7

idk

Answer 8

the vertex of y = x^2 is what?

Answer 9

(-2,-2) ?

Answer 10

no, that's the vertex of this unknown graph

Answer 11

not y = x^2

Answer 12

oh then idk haha :/

Answer 13

the vertex of y = x^2 is (0,0)

sound familiar?

Answer 14

ohhh okay haha i see :) so what do i do next?

Answer 15

so how do we go from (0,0) to (-2,-2)?

Answer 16

subtract 2 i mean

Answer 17

left or right?

Answer 18

left

Answer 19

i think...

Answer 20

how many units to the left?

Answer 21

2 units to the left

Answer 22

and how many units down?

Answer 23

2 units down right?

Answer 24

so h = -2 and k = -2

the only thing left to do is find the value of 'a'

Answer 25

howdo i do that?

Answer 26

what's another point that's on the graph (other than the vertex)?

Answer 27

(-1,1)
and there is also
(-3,1)

Answer 28

what do i do now? :D

Answer 29

so plug that into

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

along with h = -2 and k = -2 to get

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

y = a(x-(-2))^2 + (-2) ... Plug in h = -2 and k = -2

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

1 = a(-1+2)^2 - 2 ... Then plug in x = -1 and y = 1

1 = a(1)^2 - 2

1 = a - 2

Keep going to solve for 'a'

Answer 30

a=3
?

Answer 31

good