What is the vertex of the function: f(x) = x² + 12x ? Please explain.

(–6, 0)

(-6, -36)

(6, 0)

(6, –36)

The vertex of the function is (-6,-36).

Step-by-step explanation:

f(x) = x²+ 12x

From the above function, we can find the x- coordinate of the vertex as,

x = -b/2a

Here a = 1, b = 12

Plugin the values as,

x = -12 /(2×1) = -6

Now plug in the x value in the above function, we will get y as,

f(x) = y = x² + 12x = (-6)² + 12(-6)

                           = 36-72 = -36

So the vertex is (-6, -36).

16

Step-by-step explanation:

Median = the interquartile range (IQR) = 16