Answer:
ok I know the answer just mark me the brainliest for it
g(x) = (1/4)x^2 . correct option C) .
<u>Step-by-step explanation:</u>
Here we have , and we need to find g(x) from the graph . Let's find out:
We have , . From the graph we can see that g(x) is passing through point (2,1 ) . Let's substitute this point in all of the four options !
A . g(x) = (1/4x)^2
Putting (2,1) in equation g(x) = (x/4)^2 , we get :
⇒
⇒
Hence , wrong equation !
B . g(x) = 4x^2
Putting (2,1) in equation g(x) = 4x^2 , we get :
⇒
⇒
Hence , wrong equation !
C . g(x) = (1/4)x^2
Putting (2,1) in equation g(x) = (1/4)x^2 , we get :
⇒
⇒
Hence , right equation !
D . g(x) = (1/2)x^2
Putting (2,1) in equation g(x) = (1/2)x^2 , we get :
⇒
⇒
Hence , wrong equation !
Therefore , g(x) = (1/4)x^2 . correct option C) .
Answer:
Vertex = (-4,-5)
P-value = -2
Opens Downward
Step-by-step explanation:
Given:
- Focus = (-4,-7)
- Directrix = -3
Since focus is less than directrix, the parabola obviously opens downward.
To find vertex (h,k), for downward parabola, focus is (h, k + p) and directrix is y = k - p
We have:
First equation being focus and second being directrix, solve the simultaneous equation:
Substitute k = -5 in any equation - I’ll choose (1) for this:
Therefore vertex is at (h,k) = (-4,-5) with p-value being -2 since p < 0 then the parabola opens downward.
Attachment added for visual reference
Answer:
b
Step-by-step explanation: