Use the function f(x)=3x^2-12x+5 locate the axis of symmetry-- list domain-- list range--

we are given function as

Axis of symmetry:

we can use formula to find axis of symmetry

a=3 , b=-12

now, we can solve for x

so, axis of symmetry is .........Answer

Domain:

we know that

domain is all possible values of x for which any function is defined

since, it is quadratic function

so, it is defined for all real values of x

so, we get

Range:

we know that

range is all possible value of y

we can plug vertex x=2 into f(x) and find y

Since, we have leading coefficient is 3

so, parabola will be open upward

so, smallest y-value will be -7

so, range will be

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the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: