MCF3M1
Date: _____________
Lesson 4: Graphing Quadratics by Using Transformations
Recall: Quadratic functions can be graphed by using the properties given to us by the vertex form:
2
y  ax  h  k
We can use the different transformations to graph quadratic functions.
Complete the chart below and graph each equation on the same grid.
Equation
2
y  x2
y  x2  3
3
y  x  52
4
y  0.1x 2
1
Notes:
1.
2.
3.
Vertex
Axis of
symmetry
Maximum/
Minimum value
Direction
of opening
Transformations starting from
y  x2
MCF3M1
Complete the following table and graph each equation.
Axis of
Max/Min
Equation
Vertex
symmetry
value
1
Direction
of opening
Transformations starting from
y  x2
y  5x  32  4
2
y  0.5x  32
Remember, you can graph any function in vertex form by
applying any/all transformations to the key points of the
graph y  x 2 .
Summary
Horizontal translations:
Vertical translations:
Vertical stretches/compressions:
Vertical reflections: