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Which of the following represents a quadratic function written in vertex with a vertex of (3,5) and passes through the point (1, 13)

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MrRoyal

The equation that represents a quadratic function written in vertex with a vertex of (3,5) and passes through the point (1, 13) is y = 2(x - 3)^2 + 5

How to determine the quadratic function?

The given parameters are:

  • Vertex, (h,k) = (3,5)
  • Point, (x,y) = (1,13)

A quadratic equation is represented as:

y = a(x - h)^2 + k

So, we have:

y = a(x - 3)^2 + 5

Substitute (x,y) = (1,13) in the equation

13 = a(1 - 3)^2 + 5

Evaluate the exponent

13 = 4a + 5

Subtract 5 from both sides

4a = 8

Divide both sides by 4

a = 2

Substitute a = 2 in y = a(x - 3)^2 + 5

y = 2(x - 3)^2 + 5

Hence, the equation of the quadratic function is y = 2(x - 3)^2 + 5

Read more about quadratic functions at:

https://brainly.com/question/1497716

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