Answer:
If we rant their axis of symmetry from least to greatest, it would be:
f(x),h(x), g(x)
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)