Question

A?

Answer 1

re-write the equation in this form and find h,k

Answer 2

where (h,k) is the vertex of the graph :)

Answer 3

C

Answer 4

hint: take the original equation and add 3 to both sides

y = -(x+2)^2 + 3

now compare this side by side with the formula I provided to you above and identify your h and k values

Answer 5

y = a(x-h)^2 + k
y = -(x+2)^2 + 3

identify h and k based on these two equations

Answer 6

Hope you can easily figure out what's the value of h and k respectively.

One additional thing,don't confuse with the sign of `a` as this signify whether the graph is concave up or concave down.
if a<0,then concave down otherwise concave up.
In this question,graph is conace down and it neither affects on the vaue of h and k

Answer 7

Hope it helps :)

Answer 8

if (x-h)^2 = (x+2)^2

then h = ?

Answer 9

-2

Answer 10

good, now find k

y = a(x-h)^2 + k
y = -(x+2)^2 + 3

Answer 11

you might be overthinking this a little ^_^

Answer 12

k = 3

Answer 13

making (-2,3) the vertex