Which graph represents the function f(x) = (x – 3)2?
The function f(x) = (x – 3)^2 represents a parabola with the vertex at (3, 0) and opening upwards
The function f(x) = (x – 3)^2 represents a parabola with the vertex at (3, 0) and opening upwards. To determine which graph represents this function, let’s consider the key characteristics of the function.
1. Vertex: The vertex of the parabola is located at point (3, 0). This means that the graph will have a minimum point at (3, 0).
2. Axis of Symmetry: The axis of symmetry is a vertical line passing through the vertex. In this case, the axis of symmetry is x = 3.
3. Opening Direction: The function has a squared term with a positive coefficient (1), indicating that the parabola will open upwards.
Based on these characteristics, you can identify the graph that matches the given function. It will be a U-shaped curve with the vertex at (3, 0), opening upwards, and the axis of symmetry at x = 3.
More Answers:
[next_post_link]