A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:
graph of y equals minus 2 times the square of x plus 20 times x plus 400
What does the peak of the graph represent?
The number of larvae is greatest at 450 degrees Celsius.
The number of larvae is greatest at 5 degrees Celsius.
The least number of larvae in the water is 450.
The least number of larvae in the water is 5.
The number of larvae is greatest at 5 degrees Celsius.
This can be determined by finding the vertex of the quadratic equation, which represents the peak of the graph. In this case, the peak occurs at x = 5 degrees Celsius, where the number of larvae is greatest.