Question

HELPP!

how do you write n equation for the quedratic function whose grpah contains the given vertex (-3,2) and point (-1, 3)

Answer 1

Do you know the Vertex form of a quadratic function?

Answer 2

it was like h and k right?

Answer 3

(h,k) is the vertex. Using this I can write the quadratic function. as \[y = a(x-h)^{2} + k\] This is called the vertex form of a quadratic function.

Answer 4

Now you are given (h,k) which is the vertex. So plug in those values in this form.

Answer 5

Now you still have to find what 'a' is. That is where the other point comes into play.

Answer 6

The point (-1,3) means for x = -1 my , y = 3. So after you plug in h and k. plug in these values for x and y and solve for a. Now rewrite the function with all a, h and k in place with y and x as y and x

Answer 7

ok so you just plug int he values? do we have to solve for "a"?

Answer 8

yes

Answer 9

see my last comment

Answer 10

lol thanks!

Answer 11

what did you get?

Answer 12

i got 1/2 = a

becxuase i had 3=a(-1+3)^2 + 2

Answer 13

My bad you are right