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

i think it's b

step-by-step explanation:

because the graph is 2 above (0,0)