High School: Functions

Directions: Make a table with three points in the same line with 1) a slope not equal to zero 2) and the y-intercept is not a whole number Write the equation for the line. Source: Lane H. Walker

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create three equations that produce the exact same parabola. Source: Zack Miller

Directions: Complete the table & graph below or here on Desmos to create a linear relation. Find the equation of the linear relation. Fill in the table again and again to create as many different linear relations as you can. What do the graphs have in common? What do the equations have in common? Source: Jon Orr

Directions: Write a quadratic equation that has a y-intercept of 24 and the distance between the x-intercepts is 10. Bonus: find more than 2 quadratic equations. Source: Daniel Luevanos

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, place a digit in each box to create a quadratic equation with the greatest possible maximum value. Source: Robert Kaplinsky