Compare and contrast the two quadratic equations below. In order to receive full credit, use complete sentences to describe the following:

The direction each parabola opens
The vertex of each parabola

y = x2 − 4x
y = −2x2 + 8x − 12

My Answer:
y = x^2 − 4x

Well, for this first equation, the direction the parabola opens is upward, and the vertex would be (2, -4).

y = −2x2 + 8x − 12

For the second equation, the direction the parabola opens is downward, and the vertex is (2, -4) as well.

Does this sound okay? Does it make sense, do I have everything correct?

Question

Compare and contrast the two quadratic equations below. In order to receive full credit, use complete sentences to describe the following:

The direction each parabola opens
The vertex of each parabola

y = x2 − 4x
y = −2x2 + 8x − 12 

My Answer:
y = x^2 − 4x

Well, for this first equation, the direction the parabola opens is upward, and the vertex would be (2, -4). 

y = −2x2 + 8x − 12 

For the second equation, the direction the parabola opens is downward, and the vertex is (2, -4) as well. 

Does this sound okay? Does it make sense, do I have everything correct?