The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown.

f(x) = 4(x2 + 12x) + 10

12/2^2 = 36

what is the function written in vertex form?

Keywords:

Quadratic equation, vertex shape, parabola

For this case we have to rewrite the given quadratic equation, in the form of vertex, for this, we must take into account that a quadratic equation of the form , can be rewritten in the form of vertex as: Vertice is the lowest or highest point of the parabola. The vertex is given by: . So, let: , to find the equation in the form of vertex, we follow the steps below:

Step 1:

We take the common factor to the first two terms of the equation:

Step 2:

We work square:

We divide the coefficient of the term by 2 and its result is squared, that is:

So, we have:

Step 3:

We simplify:

Step 4:

We factor:

Thus,

The equation in the form of vertex is: , and the vertex is

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

boxplot e is the answer