Chapter 8.6, Problem 25E

To determine

To determine if the given data represents a linear, an exponential or a quadratic function and then write the function.

Answer to Problem 25E

  $y=-3x^2$

Explanation of Solution

Given information :

  

We can observe the points on the graph. The points are of a parabola hence the function is a quadratic function.

Now we shall determine the function.

First we shall take any point on the function. We can observe the point (1, -3).

Now we know the equation of the parabola is in the form $y=a{x}^2$

Put the values we get, $-3=a$

Now put the value of a we get,

  $y=-3x^2$