Y=-x^2+6x-5
1. what is the vertex?
2. does it open up or down?
3. what is the y-intercept?

1. Vertex: (3,4)

2. It opens down.

3. The y-intercept is -5

Step-by-step explanation:

1. For a quadratic function in the form , you can calculate the x-coordinate of the vertex with:

Then, given the function , you can identify that:

Substituting, you get:

Substitute into   to find the y-coordinate of the vertex:

Then the vertex is at (3,4)

2. You identified above the value of "a". This is:

Then, since , the parabola opens down.

3. Substitute into the function and solve for "y":

Therefore, the y-intercept is -5