1/3 x - 1/2 = 18 1/2
1/3 x = 19 (add 1/2 on the right side to 18 1/2)
x = 57 (multiply the reciprocal of 1/3 and that will be 3/1 or 3 to 19 to get x by itself)
So, the answer is x = 57 (d. 57)
The correct axis of symmetry is x = -1.
Explanation:
Our equation is
![y=\frac{1}{3}(x+1)^2-3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%28x%2B1%29%5E2-3)
.
This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.
In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).
The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
Can't see the photo fully! Sorry!