Graphing Quadratic Functions

... Caitlin Holford 30/03/09 Math Investigation GRAPHING QUADRATIC FUNCTIONS: INVESTIGATION In all of the following questions, we will investigate the equations as y = x2 and see what happens to their graphs when we add, subtract or multiply by different constants. Firstly, we will add k to the equation, where k is a constant, giving us y = x2 + k I chose 5 different values for k giving us: y1 = x2 + 6 y2 = x2 + 5 y3 = x2 - 8 y4 = x2 + 22 y5 = x2 - 15 After having used these values and calculated them against x equaling -3, -2, -1, 0, 1, 2 and 3, I was able to obtain the following table: x y1 y2 y3 y4 y5 -3 15 14 1 31 -6 -2 10 9 -4 26 -11 -1 7 6 -7 23 -14 0 6 5 -8 22 -15 1 7 6 -7 23 -14 2 10 9 -4 26 -11 3 15 14 1 31 -6 Graph of y = x2 + k Using these values I was able to make a graph using them and y = x2 to show the difference between the two equations: As we can see in the above graph, the vertex (turning point of a

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