The graph (C) Y represents the function g(x) = (x 1`)2.
What is a graph of a function?
- The graph of a function f is the set of ordered pairings where display style f(x) = y in mathematics.
- When x and f(x) are both real values, these pairings represent Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane.
To find which of the graphs below represents the function g(x) = (x 1)2:
Parabola: It's a conic section formed by the intersection of a right circular cone with a plane parallel to one of the cone's elements.
- The equation of parabola: [tex]y =x^{2}[/tex]
- The graph of [tex]y=x^{2}[/tex] is given.
- To draw the graph of [tex]y=(x+1)^{2}[/tex], shift the graph of [tex]y=x^{2}[/tex] one unit left.
- The graph of [tex]y=(x+1)^{2}[/tex] is attached below.
Therefore, the graph (C) Y represents the function g(x) = (x 1)2.
Know more about graphs here:
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