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Firdavs [7]
2 years ago
13

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

Mathematics
1 answer:
Arada [10]2 years ago
5 0

Answer:

<em>Axis of symmetry line  is parallel to y- axis</em>

Equation of the parabola <em> ( x - ( -2 ))² =  (y - 12 )   </em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

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

                        <em> ( x - ( -2 ))² =  (y - 12 )   </em>

                         ( x- h)² = 4 a ( y - k)

            <em> Center (h ,k) = ( -2 , 12)</em>

<em>              Here   4 a  = 1 </em>

                          <em>  a = 1/4</em>

<em>Focus  S = ( h , K +a) = ( -2 , 12 + 0.25) = ( -2 , 12.25)</em>

<em>Axis of symmetry line  is parallel to y- axis</em>

                           

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