Question

Which equation best represents the graph shown?
y=-(x+1)^2-1
y=(x-1)^2
y=(x+1)^2
y=-(x-1)^2+1

Answer 1

\(\bf y = A ( Bx + C )^2 + D\)

C = horizontal shift, C > 0, to the left, C < 0, to the right

Answer 2

would it be A?

Answer 3

@Nurali

Answer 4

I am going to pick up from where joe left off

Answer 5

I am going to use a slightly different letters, but they essentially mean the same. It is just something I've been using

Answer 6

the standard form of a parabola is in the equation
\[y=a(x-h)^2 + k\] where a ≠ 0
your vertex - that is the highest or lowest point is (h, k)
your a determines how far apart are your x-intercepts
when a is positive then it looks like a cup or bowl. when it is negative, it looks like a hill

Answer 7

SO, it's C

Answer 8

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

h = -(-1 )
k = 1

your vertex is at (1,1)

Answer 9

sorry vertex is at
(1, 0)

Answer 10

k = 0

Answer 11

you are correct it is
C