Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function and rank the functions based on their axis of symmetry (from smallest to largest).

Question

anonymous · Answer

Functions:

f(x) = −2(x − 4)^2 + 2

g(x) = 5x^2 − 10x + 7

Function 3 is attached

anonymous · Answer

@phi

anonymous · Answer

axis of symmetry on Function 3 h(x) is -2...
axis of symmetry on f(x) is 4
Idk about g(x)

phi · Answer

an axis of symmetry should be the equation of a line, not just a number.

anonymous · Answer

isn't the axis of symmetry always equal to the x value of the equation?

phi · Answer

yes, but I would say x= 4  not just 4

anonymous · Answer

yeah thats what I have wrote down :)

anonymous · Answer

x = -2 and for the other one x = 4

phi · Answer

for g(x) you need to find the x-coordinate of its vertex see http://hotmath.com/hotmath_help/topics/vertex-of-a-parabola.html

phi · Answer

or http://www.mathwarehouse.com/geometry/parabola/standard-and-vertex-form.php

anonymous · Answer

so 10x / 2(5)?

so the acix of symmetry would be x = 1?

phi · Answer

the formula is -b/2a

there is no x in it.
it is 
- (-10)/(2*5)

anonymous · Answer

so 10/10 which is 1?

phi · Answer

yes

anonymous · Answer

so the axis of symmetry is x =  1 for g(x)?

anonymous · Answer

1 more part @phi
rank the functions based on their axis of symmetry (from smallest to largest).
brb for 10min...  Lunch time

anonymous · Answer

@ganeshie8