Exploring Transformations of Quadratic Equations in Vertex Form
Vertex Form of Quadratic Equations
Explore Transformations of Quadratics
is the parent function ( the most basic quadratic function)
f(x) is the transformed function.
Spend 5 minutes changing the a, h, & k values (move the colored sliders).
Observe the changes in the graph in order to answer the questions below.The Effect of Changing the "a" Value
a) What happens to the graph when a is greater than 1? b) What happens to the graph when 0 < a < 1 (like .5, .3, or .8) ? c) What happens when a is negative?
The Effect of Changing the "h" Value
a) What happens to the graph when h is positive? b) What happens to the graph when h is negative?
The Effect of Changing the "k" Value
a) What happens to the graph when k is positive? b) What happens to the graph when k is negative?