The graph of g(x) = (x - 3)² - 1 which has vertex of a parabola (3,-1).
What is graph?
A graph is a "pictorial representation or diagrammatic representation of a collection of data in an organized manner".
What is vertex?
The vertex of a parabola is "the point at the intersection of the parabola and its line of symmetry".
What is parabola?
A parabola is a plane curve generated by "a point moving so that its distance from the moving point is equal to the distance from the fixed point".
According to the question,
In the graph y = x², the point (0,0) is called the vertex and a = 1.The vertex is the minimum point in the parabola that opens upward.
The standard equation of parabola is given by:
y = a(x-h)² + k → (1) where, 'a' is the non zero real number and (h, k) is the vertex of the parabola.
The graph of g(x), shows the vertex (3,-1) it satisfies standard equation of parabola is y = (x-3)² -1. The equation have vertex (3,-1) and non-zero real number 'a' = 1.
Hence, the graph of g(x) = (x - 3)² - 1 which has vertex of a parabola (3,-1).
Learn more about parabola here
https://brainly.com/question/10572747
#SPJ2
