Find constants a and b so that the minimum for the parabola f left-parenthesis x right-parenthesis equals x squared plus a x plus b is at the point left-parenthesis 6 comma 7 right-parenthesis. [hint: begin by finding the critical point in terms of a.]

and

Step-by-step explanation:

To find the constants, we need to replace the given point into the given quadratic function:

So, from the problem we have and . Then:

However, if we have a minimum at , the first derivate of the function must be zero at 6.

Now, we substitute this value in the previous expression:

Therefore, the values of the constants are and

the real question is why is this guys last name heavyfoot

step-by-step explanation:

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right