Respuesta :

If the function is symmetrical about the line x=0, it is an even function, so cannot have any odd-degree terms. The only viable choice is the 3rd one:

... y = x² + 2

Answer:

y = x^2 + 2

Step-by-step explanation:

find the equation below whose axis of symmetry is x = 0

to find axis of symmetry we use formula x= -b/2a

WE compare the equation with the form y =ax^2 + bx+c

y = x^2 + 2x

a= 1  and b = 2 so [tex]x= \frac{-b}{2a} = \frac{-2}{2} =1[/tex]

y = x^2 − 16x + 58

a= 1  and b = -16 so [tex]x= \frac{-b}{2a} = \frac{16}{2} =8[/tex]

y = x^2 + 2

a= 1  and b = 0 so [tex]x= \frac{-b}{2a} = \frac{0}{2} =0[/tex]

y = x^2 − 4x + 2

a= 1  and b = -4 so [tex]x= \frac{-b}{2a} = \frac{4}{2} =2[/tex]