Use the parabola tool to graph the quadratic function f(x)=2x2+32x+126 . graph the parabola by first plotting its vertex and then plotting a second point on the parabola

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

To find x coordinate of vertex we use formula

From the given equation , a= 2 , b= 32, c= 126

Plug in all the values

= -8

Now plug in 8 for x in f(x)

= -2

So vertex is (-8,-2)

Now we make a table to get some other points for graphing. We assume x value before and after vertex. Plug in -9 and -7 for x in f(x) and find out y .

= 0

= 0

x ------> y

-9 ------> 0

-8 -------> -2

-7 --------> 0

Now we graph all the points.

Graph is attached below.

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step-by-step explanation:

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113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734