Question

PLEASE HELP Write the equation in vertex form? (working with parabolas).
21.) vertex (-3,7) point (-2,-5)
22.) vertex (4,0) point (-6,-3)
23.) vertex (-2,-5) point (-6,0)
24.) vertex (1,3) point (2,5)

Answer 1

Lets see the equation for Standard form is. \[y = a(x-h)^{2} + k, \\ \text{Your h is the x coordinate, k is the y coordinate (of the vertex)}\\ \text{plug in your points given for 21. x = -2 , y =-5, h =-3, k = 7. }\\ \text{enjoy!}\]

Answer 2

that is actually vertex form

Answer 3

hold on im thinking.

Answer 4

20.) OPEN-ENDED write a quadratic function that has a maximum value?

Answer 5

vertex is (-3,7)
plug that into y=a(x-h)^2+k
you get: y=a(x-(-3))^2+7
now time to find a.
plug the rest in. (-2-5)
-5=a((-2)-(-3))^2+7
Simplify.
-5=a(-2+3)^2+7
-5=a(1)^2+7
-5=8a
Divide both sides by 8
-5/8=a put into original equation
y=-5/8(x+3)^2+7

pretty sure thats right. not 100%

Answer 6

thanks I have 2 last questions numbers 11,12 then im done.. Thanks!! (=

Answer 7

np! do you mind taking a look at my last question? maybe you read the poetry im tested on.