Question

g(x)=12x2+5x−9 Which function has the lesser minimum? Show all your work.

Answer 1

Answer:

Lesser minimum value of this function  $g(x) = 12x^{2} + 5x-9$  is   $-9.520$

Step-by-step explanation:

Given that,

It is a Quadratic function    $g(x) = 12x^{2} + 5x-9$    .

To find :- Which function has lesser minimum ?

From the Question,

The General form of quadratic function is

              $y = ax^{2} + bx + c$

Now comparing the given function we get

           a = 12,         b = 5,         c = -9

So, finding the lesser minimum using the above quadratic function we have

Equation of lesser minimum = $c - \frac{b^{2} }{4a}$

                                               = $-9 - \frac{5^{2} }{4\times 12}$

                                               = $-9-\frac{25}{48}$

                                               = $-9.520$

Hence,

We get the lesser minimum value of this function  $g(x) = 12x^{2} + 5x-9$ is   $-9.520$