A parabola with its vertex at (24,10) and its axis of symmetry parallel to the y-axis passes through point (4,290). Write an equation of the
parabola. Then find the value of y when x = 34.

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Answer:

               Not executable

Step-by-step explanation:

f(x) = a(x - h)² + k      - vertex form of the equation of the parabola with vertex (h, k)

so the equation of parabola with the vertex (24, 10) is  :

f(x) = a(x - 24)² + 10  

the parabola's axis of symmetry parallel to the y-axis and passing through point (4,290) means:  h = 4

4 ≠ 24

That  means you write something wrong in your question.