1. Do-Now What is the general form of an absolute value function?
Identify the vertex and the axis of symmetry of the function:
Vertex:
Axis of symmetry:

2. 4-1 Quadratic functions and transformations
Ms. Miller

3. Today’s Objective
To identify and graph quadratic functions

4. Quadratic Functions Vertex form of any quadratic function is
Parent function is
Vertex form of any quadratic function is
Reflection over x-axis
Affects horizontal translation
Affects vertical translation
Stretch (Narrower)
Moves left or right
Moves up or down
Compression (Wider)

5. Quadratic Functions Vertex form Parent function is
Axis of symmetry:
Quadratic Functions
Parent function is
Vertex form
Axis of symmetry: line that divides the
parabola into two mirror images
Vertex: intersection of parabola and axis of
symmetry, also the max or min point

6. Quadratic Functions Sketch a graph of x f(x) -2 -1 1 21 2
How was the graph translated?
Vertex:
Axis of symmetry: -2
Reflected over the x-axis, compressed (wider)
-.5
-.5 -2

7. Quadratic Functions Sketch a graph of
How did the graph translate from the parent function?
Vertex:
Axis of symmetry:
Translated the graph to the right 5 units

8. Quadratic Functions Sketch a graph of
How did the graph translate from the parent function?
Vertex:
Axis of symmetry:
Translated the graph to the down 2 units

9. Quadratic Functions
By looking at the function, identify the vertex and axis of symmetry.
Quadratic Function
Vertex
Axis of Symmetry
(0,1)
(7,0)
(-6,0)
(1,9)

10. Interpreting vertex form
Identify the vertex, axis of symmetry, maximum or minimum, the domain and the range for the function:
Vertex: (-1,4)
Axis of symmetry:
Maximum/Minimum: opens downward is the maximum
Domain: all real numbers
Range:

11. Tonight’s Homework
Page 199
#7, 8, 12, 13, 15-18, 22, 21