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

princesssleelee · Answer

f(x) = –4(x − 8)2 + 3	


g(x) = 3x2 + 12x + 15

princesssleelee · Answer

axis of symmetry=vertex :)

mathmale · Answer

Please take care to express "exponentiation" as  (x-8)^2 [not as (x-8)2 ]
and 3x^2 [not as 3x2].

Both f(x) and g(x), if simplified, will appear in the form of a quadratic function.

Please do this first.

Your results should have the form   y=ax^2 + bx + c.

The equation of the axis of symmetry is x=-b/(2a).

princesssleelee · Answer

@mathmale  i dont understand

mathmale · Answer

What part was not clear for you?  Focus on rewriting your two functions first.

Your results should be in the form y=ax^2 + bx + c, or, in other words, in descending order by powers of x.

highest power:  x^2  ("x squared")

next power:  x

Next:   the constant, c