alexgarza2022 alexgarza2022
  • 18-12-2020
  • Mathematics
contestada

Write an equation for the parabola that passes through (1,12) and has vertex (10,-4)

Respuesta :

altavistard
altavistard altavistard
  • 18-12-2020

Answer:

y + 4 = (16/81)(x - 10)

Step-by-step explanation:

The general formula for a parabola passing through (x, y) and with vertex (h, k) is                  y - k = a(x - h)^2.

Here we are told that x = 1, y = 12, h = 10 and k = -4, which gives us:

                         12 + 4 = a(1 - 10)^2, or

                              16  =  81a

Then a = 16/81, and the desired parabola is

                                  y + 4 = (16/81)(x - 10)

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