Answer:
Step-by-step explanation:
The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry. These features are illustrated in (Figure).
Graph of a parabola showing where the x and y intercepts, vertex, and axis of symmetry are.
The y-intercept is the point at which the parabola crosses the y-axis. The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of x
at which
y = 0
We have been given that on a coordinate plane a line with negative slope passes through points and
. We are asked to find the rate of the change of the function.
We know that slope represents rate of change of function.
We will use slope formula to solve our given problem.
Let and
.
Therefore, the rate of change of the given function is .
We have to use the following formula which is
Given values of F and m are 7.92 Newtons and 3.6 kilograms .
Substituting these values in the formula, we will get
To solve for a, we have to divide both sides by 3.6 that is
And that's the required answer .