The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown.
2 answers:
To convert the given quadratic equation into vertex form, one must recognize that a quadratic equation structured as 
can be expressed in vertex form as: 
. The vertex represents the peak or the lowest point of the parabola, which is given by: 
. Let’s denote: 
, and then we will proceed with the following steps to obtain the vertex form:
Step 1:
We extract the common factor from the first two terms of the equation:
Step 2:
Next, we will complete the square:
We take half of the coefficient of the term 
, square it, which gives:
At this stage, we have:
Step 3:
Now we simplify:
Step 4:
Finally, we factor:
Thus, 
The vertex form of the equation is: , and the vertex is
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