Quadratic Functions Unit Day 1 Graph In Standard Form Completed Notes
Quadratic Unit: Graph in Standard Form
Objective
State the minimum or maximum of quadratic functions in
•
standard form.
State the axis of symmetry of quadratic functions in standard
•
form
Graph quadratic functions in standard form
•
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Quadratic Functions Unit Day 1 Graph In Standard Form Completed Notes
Quadratic Functions
Parent Function
y = x2
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Quadratic Functions Unit Day 1 Graph In Standard Form Completed Notes
Standard Form
f(x) = a x2+bx+c
How are the values of a, b and c related to the graph of a quadratic function?
a
b
a
Graph opens UP if > 0 (minimum)
a Graph opens DOWN if < 0
(maximum)
Line of Symmetry (LOS):
c
y­intercept is c
‐
x = b
2a
Vertex: (LOS, y)
ROX
Vertical STRETCH if a
Vertical SHRINK a
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Quadratic Functions Unit Day 1 Graph In Standard Form Completed Notes
State whether the function has a minimum or maximum value. Then find the value.
1. y = 6x2­1
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2. f(x) = ­2x2+8x+7
3. y = (3/2)x2 + 6x +4
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Quadratic Functions Unit Day 1 Graph In Standard Form Completed Notes
Use a "rapid sketch" table to graph the parabola.
y = 3x2
LOS: Vertex:
Max/Min: This quad has a _______value at _______ when x=__________.
Transformations: How is this graph different from the parent function?
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Quadratic Functions Unit Day 1 Graph In Standard Form Completed Notes
Use a "rapid sketch" table to graph the parabola.
y = 2x2 ‐ 4x ‐ 6
LOS: Vertex:
Max/Min: This quad has a _______value at _______ when x=__________.
Transformations: How is this graph different from the parent function?
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Quadratic Functions Unit Day 1 Graph In Standard Form Completed Notes
Use a "rapid sketch" table to graph the parabola.
‐1
y = ( )
x2+2x+1
2
LOS: Vertex:
Max/Min: This quad has a _______value at _______ when x=__________.
Transformations: How is this graph different from the parent function?
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Quadratic Functions Unit Day 1 Graph In Standard Form Completed Notes
Use a "rapid sketch" table to graph the parabola.
f(x) = 3x2 + 5
LOS: Vertex:
Max/Min: This quad has a _______value at _______ when x=__________.
Transformations: How is this graph different from the parent function?
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Quadratic Functions Unit Day 1 Graph In Standard Form Completed Notes
Assignment: Quadratic Functions Unit Day 1 Assignment
Reminder: Must be completed and turned in pencil and paper. Wehrle
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