The new equation is
Y = (x-8)² .
The other way to write it is like this: (you might not recognize it in this form)
Y = x² - 16x + 64
The vertex of parabola [tex]y=x^{2}[/tex] is [tex](0,0)[/tex]
After shifting [tex]8[/tex] units towards the right, it will become [tex](8,0)[/tex].
Therefore, the equation of the new parabola will be [tex]y=(x-8)^{2}[/tex].
Hence, the answer is [tex]y=(x-8)^{2}[/tex].
The equation to the new parabola is [tex]y=(x-8)^{2}[/tex].
What is the equation of a parabola?
The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 4ax.
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 Parabola, refer to:
https://brainly.com/question/12722131
#SPJ2
