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Consider the parabola ( 3) 82y x= + − . Sketch this parabola. What is the equation of theimage if it is:a translated 8 units up and 3 units to the right?

Question

Consider the parabola ( 3) 82y x= + − . Sketch this parabola. What is the equation of theimage if it is:a translated 8 units up and 3 units to the right?
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Solution 1

Claro, vamos a resolver el problema paso a paso.

Primero, consideremos la parábola dada: y=8x2+3x3 y = 8x^2 + 3x - 3 .

Paso 1: Identificar la forma de la parábola

La ecuación dada está en la forma estándar de una parábola y=ax2+bx+c y = ax^2 + bx + c , donde:

  • a=8 a = 8
  • b=3 b = 3
  • c=3 c = -3

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