High School: Functions

Directions: Create three equations for quadratics in standard form that have roots at 3 and 5. Source: Robert Kaplinsky

Directions: Create three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values. Source: Robert Kaplinsky

Directions: The measures of the angles of a convex polygon form an arithmetic sequence. The smallest angle has a measurement of 129 degrees. The largest angle has a measurement of 159 degrees. Find the number of sides in this polygon. Source: Ricardo Navarro

Directions: What are the maximum and minimum values for c if x^2 + 12x + 32 = (x+a) (x+b) + c? Source: Jedidiah Butler

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create a quadratic equation with the greatest possible maximum value. Source: Robert Kaplinsky

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to create a quadratic equation with the greatest possible maximum value. Source: Robert Kaplinsky

Directions: Which is bigger? The common ratio, r, in a geometric sequence with OR the common difference, d, in an arithmetic sequence with Source: Nanette Johnson