The graph of a function is a parabola that has a minimum at (-1,-2) and goes through the point (0,1).
what is the equation of the function in standard form?
substitute numerical values for a, b, and c.

Step-by-step explanation:

Since they give us the coordinates of the minimum of the parabola (the parabola's vertex), we start by writing the function in vertex form:

Now we use the fact that the point (0,1) is on the graph of the parabola, which means that when x=0, the value of the function (y) must be equal to 1.

We apply this to the expression we found above:

which gives us:    therefore,

Now we write the function using the value of the constant a we just found:

and next we find the square of the binomial (x+1) to express the function in standard form:

whatever you can spend with $11.53 or under.

step-by-step explanation:

20 - 8.47 = 11.53. take away the money he used for lunch from the starting amount of 20.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)