Question

Given the functions f(x) = 2x2 - 8x, g(x) = x2 - 6x + 1, and h(x) = -2x2, rank them from least to greatest based on their axis of symmetry. (2 points)

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

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

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

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

Answer 1

axis of symmetry of h(x) is x = 0

for f(x) its x = 2
and for g(x) its x = 3

so its
option 3

Answer 2

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

Explanation:

`f(x) = 2x^2 - 8x`

Axis of symmetry at
`x=(-b)/(2a)`, a=2, b=-8

`x=(-b)/(2a)`

`x=(-(-8))/(2(2))=2`

`g(x) = x^2 - 6x + 1`, a= 1, b=-6

`x=(-b)/(2a)`

`x=(-(-6))/(2(1))=3`

`h(x) = -2x^2`, a=-2, b=0

`x=(-b)/(2a)`

`x=(-(0))/(2(-2))=0`

Now rank the function based on their axis of symmetry

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