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.

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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answer: 7 x 2/5 = 2.8 hours, is your answer. your welcome! : 3

step-by-step explanation: first work out how long it took to hose 1/7 of the lawn which is 2/5 hours. times that by 7 to get the whole lawn.

sorry i don't know the other answer. i didn't learn what a proportional relationship is.