Transformations of a Parabola
Parabolas have the form y=ax^2. Use the slider to investigate how changing the value of 'a' affects the graph of the parabola. The parent parabola is shown in black.
How does changing the value of a in affect the graph of the parabola? Select all that apply.
Parabolas can also be written as y=(x+h)^2. Use the slider to investigate how changing the value of h affects the graph of the parabola. The parent parabola is shown in black.
How does changing the value of h in affect the graph of the parabola?
Parabolas can also be written as y=x^2+k. Use the slider to investigate how changing the value of k affects the graph of the parabola. The parent parabola is shown in black.
How does changing the value of k affect the graph of ? Select all that apply.
Putting It All Together - These transformations can all be combined to construct parabolas that are moved around the Cartesian Plane. The video below demonstrates how to graph a quadratic function (parabola). Note that the video makes an error at the star
Use the sliders to investigate how changing the values in the vertex form of a parabola changes the graph. The parent parabola is shown in black.
Where is the vertex of ? Place your answer in parentheses.
Where is the vertex of y=2(x+5)^2 - 3? Place your answer in parentheses.