3.3.1 Graph Quadratic Graph Quadratic Functions in Standard Functions in Standard

FormForm

WEDNESDAY JAN 26TH

p. 56p. 56

VocabularyVocabulary

quadratic function: function that can be written in standard form y = _____________

where a __ 0.

The graph is called a _________.

The lowest or highest point is called the ________.

VocabularyVocabulary

axis of symmetry: divides the parabola into mirror images and passes through the vertex

extrema: the minimum(s) & maximum(s) of a function

Ex. 1: Ex. 1: Graph a function of the form Graph a function of the form y = axy = ax22 + c + c

Graph y = -x2 + 2. Identify the domain and range of the function.

Step 1: Vertex is obvious (0, c)

Step 2: Table of values on either side ofvertex

Step 3: Plot the points

Step 4: Connect the dots

Step 5: Identify Domain (x) & Range (y)

x

y

Ex. 1: Ex. 1: Graph a function of the form Graph a function of the form y = axy = ax22 + c + c

Graph y = 2x2. Identify the domain and range of the function.

Step 1: Vertex is obvious (0, c)

Step 2: Table of values on either side ofvertex

Step 3: Plot the points

Step 4: Connect the dots

Step 5: Identify Domain (x) & Range (y)

x

y

Ex. 1: Ex. 1: Graph a function of the form Graph a function of the form y = axy = ax22 + c + c

Graph y = x2 - 3. Identify the domain and range of the function.

Step 1: Vertex is obvious (0, c)

Step 2: Table of values on either side ofvertex

Step 3: Plot the points

Step 4: Connect the dots

Step 5: Identify Domain (x) & Range (y)

x

y

Guided Practice Guided Practice

p. 57 #’s 1, 2, 3

Graph the function, label the vertex and axis of symmetry

Ex. 2: Ex. 2: Graph a function of the form Graph a function of the form y = axy = ax22 + + bxbx + c + c (vertex not obvious)(vertex not obvious)

Graph y = x2 – 6x + 8. (Note! Vertex is NOT (0, 8)!!!)

Step 1: Use ______ from Quad. Form. To find vertex.

x =

y =

Step 2: Draw Axis Of Symmetry ______

Step 3: Table:

x

y

Guided Practice Guided Practice

p. 57 #’s 4, 5, 6

Graph the function, label the vertex and axis of symmetry