Question

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).

I think I know one of them but not the other two, Ill post a picture of the stuff in the comments

Answer 1

@Nnesha

Answer 2

I believe the axis of symmetry for f(x) is 4, but I dont know about the others

Answer 3

the x-coordinate of the vertex = axis of symmetry
\[\rm y=a(x-h)^2+k\]
vertex form equation where (h,k) is the vertex
h= axis of symmetry
if the given equation in standard form then use the formula \[\rm x=\frac{-b}{2a}\]
to find x-coordinate of vertex (axis of symm.)

Answer 4

so -b is the second term right? so that would be\[X=\frac{ -10 }{ 2\times5 }\]

Answer 5

looks good

Answer 6

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

Answer 7

correcto

Answer 8

How would I find the axis with a parabola

Answer 9

just an equation because I dont want to get the answer easily

Answer 10

on the previous post we discussed max/min = vertex
so what's the vertex point of that parabola ?

Answer 11

I believe it is -2 Im not too sure how to find the vertex

Answer 12

what is x and y value at red dot ?