Answer:

Step-by-step explanation:
For
, we have two cases:

Therefore, for
, we have the following cases:

Solving, we have:
.
Therefore,

Answer:
g(x) is shifted 3 units to the left and reflected over the x-axis.
Step-by-step explanation:
Answer:
Step-by-step explanation:
You need to add $6.50 and $11.75 and you get $18.25.
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).