Question

Select the correct answer.

Answer 1

Using the vertex of the equation, it is found that the correct option regarding the minimum number is given by:

C. n = 2(t - 2)² + 7.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering a standard equation, given by:

y = ax² + bx + c.

The vertex is given by:

$(h,k) = \left(-\frac{b}{2a}, -\frac{b^2 - 4ac}{4a}\right)$.

If a is positive, the vertex is a minimum value.

In this problem, the equation is given by:

n = 2t² - 8t + 15.

The coefficients are: a = 2, b = -8, c = 15.

Hence:

$h = -\frac{b}{2a} = \frac{8}{4} = 2$.

$k = -\frac{(-8)^2 - 4(2)(15)}{4(2)}\right) = 7$

The minimum is 2 hours after 10 a.m., hence 12 p.m, and the function is:

C. n = 2(t - 2)² + 7.

More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967

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