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

Answer:

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

Step-by-step explanation:

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

Axis of symmetry at $x=\frac{-b}{2a}$, a=2, b=-8

$x=\frac{-b}{2a}$

$x=\frac{-(-8)}{2(2)}=2$

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

$x=\frac{-b}{2a}$

$x=\frac{-(-6)}{2(1)}=3$

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

$x=\frac{-b}{2a}$

$x=\frac{-(0)}{2(-2)}=0$

Now rank the function based on their axis of symmetry

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