The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1) ⇒ answer A
Step-by-step explanation:
Any quadratic function represented graphically by a parabola
1. If the coefficient of x² is positive, then the parabola open upward
and its vertex is a minimum point
2. If the coefficient of x² is negative, then the parabola open
downward and its vertex is a maximum point
3. The standard form of the quadratic function is: f(x) = ax² + bx + c
where a, b , c are constants
4. The vertex form of the quadratic function is: f(x) = a(x - h)² + k,
where h , k are the coordinates of its vertex point
∵ The function f(x) = 3(x - 2)² + 1
∵ The f(x) = a(x - h)² + k in the vertex form
∴ a = 3 , h = 2 , k = 1
∵ h , k are the coordinates of the vertex point
∴ The coordinates of the vertex point are (2 , 1)
The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1)
Learn more:
You can learn more about quadratic function in brainly.com/question/1357167
#LearnwithBrainly
