Given the functions f(x) = 3x2, g(x) = x2 - 4x + 5, and h(x) = -2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.

f(x), g(x), h(x)

f(x), h(x), g(x)

g(x), h(x), f(x)

g(x), f(x), h(x)

If we rant their axis of symmetry from least to greatest, it would be:

f(x),h(x), g(x)

Step-by-step explanation:

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror like reflection of either side of the object.

We can find axis of symmetry with the help of formula:

x = -b/2a

We know that the quadratic equation is written like:

ax^2+bx+c

where a,b are coefficients: c is constant term and x is variable

Now look at the function f(x)= 3x^2

For this function we have a= 3, b =0 , c=0

Put the values in the above mentioned formula:

x = -b/2a

x = - (0)/2(3)

x = 0/6 = 0

Thus the axis of symmetry for f(x) = 0

Now  g(x) = x2 - 4x + 5

a = 1 , b = -4 , c =5

x = -b/2a

x = -(-4)/2(1)

x = 4/2

x = 2

Axis of symmetry for g(x) = 2

h(x) = -2x2 + 4x + 1

a = -2 , b =4 , c=1

x = -b/2a

x = -(4)/2 (-2)

x = -4 /-4

x = 1

Axis of symmetry for h(x) = 1

So if we rant their axis of symmetry from least to greatest, it would be:

f(x),h(x), g(x)

ans789

step-by-step explanation: