# Tag Archives: quadratic function

## Triangular Array of Numbers

If you continue the triangular array of numbers shown in the figure, what number would be directly below ? Source: NCTM Mathematics Teacher, February 2008 Solution Note that the leading numbers increase by , etc. If we follow this pattern, … Continue reading

## Spring Garden

Each spring, a meter by meter garden has its length increased by meters but its with decreased by centimeters. What will be the maximum attainable area of the garden? Source: NCTM Mathematics Teacher, October 2006 Solution Area in square meters … Continue reading

## Complicated Quadratic Root

What is the (simplified) value for which the larger root of is ? Source: NCTM Mathematics Teacher, October 2006 Solution We are going to take advantage of the formulas and repeatedly in the process of simplifying the complicated root. First, we multiply the … Continue reading

## Largest Value

The equilateral triangle has side length , and is a point on the line segment . Denote by the area of triangle and by the area of triangle . What is the largest value of the product ? Source: NCTM … Continue reading

## Mysterious Function

Observe the table of domains and ranges for a mysterious function. Given the table of values, what is the range for a domain of ? Domain Range -13 -352 … Continue reading