Question

define the function of the following graph.

Answer 1

what?

Answer 2

this graph is a parabola - yes ?

Answer 3

ya

Answer 4

of what equation is the graph a parabola ?

Answer 5

This is the vertex form for parabolas:

Answer 6

where (h, k) represents the vertex
and (a) represents any stretch or shrink

in your picture, what is the coordinates for the vertex?
(then plug that into the formula)

Answer 7

-3,-5

Answer 8

good so plug that into the vertex formula,
what would you get?

Answer 9

what numbers would i switch it out for?

Answer 10

h = -3
k = -5
a = 1

Answer 11

y=5
x=-3

Answer 12

hold up
we're not solving for anything

\(y = a(x-h)^2+k\)
plug in
a = 1
h = -3
k = -5

Answer 13

y=1(x--3)²+-5

Answer 14

0.764,0
0,4
-3,-5
-5.236,0

Answer 15

y = (x + 3)^2 - 5
is correct