Paul opened a bakery. The net value of the bakery (in thousands of dollars) ttt months after its creation is modeled by v(t)=2t^2-12t-14v(t)=2t 2 −12t−14v, left parenthesis, t, right parenthesis, equals, 2, t, squared, minus, 12, t, minus, 14 Paul wants to know what his bakery's lowest net value will be. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

Given:

The net value of the bakery (in thousands of dollars) t months after its creation is modeled by

Paul wants to know what his bakery's lowest net value will be.

To find:

The function in a different form (factored or vertex) where the answer appears as a number in the equation.

Solution:

Factor form is used to find the x-intercepts and vertex form is used to find the extreme values (maximum or minimum). So, here we need to find the vertex form.

We have,

Adding and subtract square of half of 6 in the parenthesis, we get

Vertex form:

where, (h,k) is vertex.

On comparing this equation with vertex form, we get the of the function is (3,-32).

Therefore, the vertex form is and the function has minimum value at (3,-32). It means, minimum net value of the bakery is -32 after 3 months.

v(t) = 2(t - 3)^2 - 32. and -32

Please mark the other one Brainiest.

Hope that this helps!

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step-by-step explanation: