What is the equation of the following graph

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The graph provided in the question has two clear points:

The vertex, located at (2,-3)

The y-intercept, located at (0,-7)

Substituting the coordinates of the vertex, the equation of the function is:

The value of a will be determined by using the other point:

Operating:

Solving:

a=-1

The equation of the graph is:

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: