Respuesta :
Answer:
The equation of the parabola with vertex (3, 4) and focus (6, 4) is x = (1/12)(y - 4)2 + 3.
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Comparing to the standard equation, the equation of the parabola with vertex (3,4) and focus (6,4) is given by:
y = 12(x - 3)² + 4.
What is the equation of a parabola given it’s vertex?
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient, considering that the focus is at (h + p, k), with a = 4p.
In this problem, the parabola has vertex at (3,4), hence h = 3 and k = 4. The focus means that p = 3, hence a = 4p = 12. Hence the equation is given by:
y = 12(x - 3)² + 4.
More can be learned about the equation of a parabola at https://brainly.com/question/24042425
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