 # 3. Graph Quadratic Functions in Standard Form 3.1 Graph Quadratic Functions in Standard Form WEDNESDAY JAN 26 TH p. 56.

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3. Graph Quadratic Functions in Standard Form 3.1 Graph Quadratic Functions in Standard Form WEDNESDAY JAN 26 TH p. 56

Vocabulary  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 ________.

Vocabulary  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: Graph a function of the form y = ax 2 + c  Graph y = -x 2 + 2. Identify the domain and range of the function. Step 1:Vertex is obvious (0, c) Step 2:Table of values on either side of vertex Step 3:Plot the points Step 4:Connect the dots Step 5: Identify Domain (x) & Range (y) x y

Ex. 1: Graph a function of the form y = ax 2 + c  Graph y = 2x 2. Identify the domain and range of the function. Step 1:Vertex is obvious (0, c) Step 2:Table of values on either side of vertex Step 3:Plot the points Step 4:Connect the dots Step 5: Identify Domain (x) & Range (y) x y

Ex. 1: Graph a function of the form y = ax 2 + c  Graph y = x 2 - 3. Identify the domain and range of the function. Step 1:Vertex is obvious (0, c) Step 2:Table of values on either side of vertex Step 3:Plot the points Step 4:Connect the dots Step 5: Identify Domain (x) & Range (y) x y

Guided Practice p. 57 #’s 1, 2, 3 Graph the function, label the vertex and axis of symmetry

Ex. 2: Graph a function of the form y = ax 2 + bx + c (vertex not obvious)  Graph y = x 2 – 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 p. 57 #’s 4, 5, 6 Graph the function, label the vertex and axis of symmetry