Answer:
(h,k)
Step-by-step explanation:
because of how the h is horizontal that is the x value and the k is vertical making it the y value.
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The vertex gets shifted by h units horizontally and k units vertically.
The parabola is defined by
y = a(x - h)² + k
has its vertex at (h,k).
After a shift by h units right, followed by a shift of k units vertically, the parabola is defined by
y = a(x - 2h)² + 2k
which has its vertex at (2h, 2k).
∴ (h,k).
Vertex Form of the Equation of a Parabola: The equation y=a(x−h)2+k y = a ( x − h ) 2 + k of a parabola is said to be in vertex form because the vertex can be determined by examining the equation: (h,k) is the vertex.
The equation of a parabola can be written in two basic forms: Form 1: y = a( x – h) 2 + k. Form 2: x = a( y – k) 2 + h.
A parabola is nothing but a U-shaped plane curve. Any point on the parabola is equidistant from a fixed point called the focus and a fixed straight line known as the directrix. Terms related to Parabola.
Learn more about the parabola, refer
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