Question

PLEASEEE HELP !! in two the three sentences, explain how you would find the line of symmetry for the parabola whose equation is

y=x2+4x+16

Answer 1

Axis of symmetry line is parallel to y- axis

Equation of the parabola ( x - ( -2 ))² = (y - 12 )

Explanation:

Explanation:-

Given equation is y = x²+4 x+16

y = x²+2 (2 ) x + (2)² - (2)² + 16

y = ( x + 2 )² + 12

( x + 2 )² = y - 12

( x - ( -2 ))² = (y - 12 )

( x- h)² = 4 a ( y - k)

Center (h ,k) = ( -2 , 12)

Here 4 a = 1

a = 1/4

Focus S = ( h , K +a) = ( -2 , 12 + 0.25) = ( -2 , 12.25)

Axis of symmetry line is parallel to y- axis