What is the vertex of y=-x^2+12x-31

Where the a-term determines how wide, narrow, upward or downward the graph is.

The h-term determines the horizontal shift of graph. (x-axis)

The k-term determines the vertical shift of graph. (y-axis)

The vertex of graph is at (h,k). We can find the vertex by using the given formulas.

From the equation, the coefficients are:

Substitute these values in the formulas.

Find the value of h

Hence, the value of h is 6.

Find the value of k

Hence, the value of k is 5. Then we substitute both value of h and k in the vertex form

Since the vertex is at (h,k). Therefore the value of h is 6 and k is 5. Therefore:

(6,5) is the vertex.