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