Answer:
Function f is symmetric around point (4, -1). This point is the minimum of the function f
Step-by-step explanation:
The vertex-form of the quadratic function is y = a(x - h)² + k, where
- a is the coefficient of x²
- (h, k) are the coordinates of its vertex point
- The graph of the quadratic function is a parabola symmetric at the vertex point (h, k), which is the lowest or the highest on the graph
- If the vertex is the lowest point then, it is minimum, if it is the highest point, then it is maximum
Let us solve the question
→ From the given graph
∵ The graph represents a quadratic function f(x)
∵ It has the lowest vertex
∴ The vertex is minimum
∵ The coordinates of the vertex are (4, -1)
∵ The is symmetric around the vertex point
∴ The function is symmetric around point (4, -1)
Function f is symmetric around point (4, -1). This point is the minimum of the function f
