Question

What is the vertex of the parabola: y=2(x-3)2^+4

Answer 1

Vertex: (3,4)

Explanation:

Vertex form of the quadratic equation

The vertex form of the quadratic function has the following equation:

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

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The parabola is given as:

`y=2(x-3)^2+4`

Comparing with the equation:

a=2, Vertex: (3,4)

The graph of the parabola is shown in the image below