Question

Which equation represents the parabola shown in the accompanying graph?



(1 point)
Responses

f(x)=(x+1)^2−3
f of x is equal to open paren x plus 1 close paren squared minus 3

f(x)=−(x−3)^2+1
f of x is equal to negative open paren x minus 3 close paren squared plus 1

f(x)=−(x+3)^2+1
f of x is equal to negative open paren x plus 3 close paren squared plus 1

f(x)=−(x−3)^2−3

Answer 1

I don't see the graph — could you upload it or describe it (vertex coordinates and whether it opens up or down, or one other point on the parabola)?

To pick among the four choices, use vertex form f(x)=a(x−h)^2+k:
- f(x) = (x+1)^2 − 3 has vertex (−1, −3) and opens up (a = +1).
- f(x) = −(x−3)^2 + 1 has vertex (3, 1) and opens down (a = −1).
- f(x) = −(x+3)^2 + 1 has vertex (−3, 1) and opens down (a = −1).
- f(x) = −(x−3)^2 − 3 has vertex (3, −3) and opens down (a = −1).

Tell me which vertex and direction match the graph and I’ll confirm the correct choice.