Presentation on theme: "1.6 Using Multiple Transformations to graph quadratic equations"— Presentation transcript:
11.6 Using Multiple Transformations to graph quadratic equations
2When graphing a quadratic function we can apply the transformations to the key points of But after yesterday maybe you noticed that the vertex is easy to move left or right and never gets effected by the stretch or compression factor.Always stretch or compress the parabola first!
3-10-551015-15XY531The “STEP PATTERN” of is “1, 3, 5” and it is the step pattern that changes when the parabola is stretched or compressed!
4Graph This is a vertical stretch by a factor of 3 so we multiply the step pattern by 3 1 , 3 , 5x33 , 9 , 15
6X-2 Graph reflect in the x-axis stretch by a factor of 2 shift the parabola right 5shift the parabola up 3We can graph it by moving the vertex right 5 and up 3 and using the step pattern to draw the other key points1 , 3 , 5X-2-2 , -6 , -10