Question

The graph of f is called a _____ whose vertex is the point (h, k).

Answer 1

The graph of function f described is called a parabola, with its vertex at the point (h, k).

Step-by-step explanation:

The graph of a function f described by the student is known as a parabola, whose vertex is the point (h, k). In a parabolic graph, the vertex represents the maximum or minimum point of the parabola. When graphing linear functions, we use the formula y = mx + b, where m stands for the slope of the line and b represents the y-intercept. However, for a quadratic function, which produces a parabola, the graph takes the general form y = a(x - h)^2 + k, where (h, k) identifies the vertex of the parabola, and a determines the opening direction and the width of the parabola.

Answer 2

parabola

Therefore, when the graph of a function is called a parabola whose vertex is the point (h, k), it means that the function can be represented by a quadratic equation of the form mentioned above, and the vertex of the parabola is located at the point (h, k).