10.4 Graph Quadratic Equations with Tables
Name __________________
Learning Objective: A.REI.10
I will graph a quadratic function by tables
F.IF.4
I will identify the max or min of a quadratic graph
F.IF.4
I will identify the intercepts on a graph of a quadratic function
F.IF.4
I will sketch a quadratic graph given a verbal description of key features
F.IF.4
I will identify key features of graphs to determine if they are linear, quadratic, or exponential
F.IF.5
I will find the domain and range of a quadratic function
F.IF.1
I will determine the domain and range of a quadratic function in any form
F.IF.7
I will graph a quadratic function from an equation in standard form
F.IF.7
I will graph a quadratic function from a table
F.IF.7
I will identify the max or min or vertex of a quadratic graph
F.IF.7
I will identify the intercepts on a graph of a quadratic function
Write in interval notation and graph.
1. x < 6
2. –8 < x < 2
Write as an inequality.
3. (2, )
4. (4, 9]
Graph each quadratic function correctly and answer the questions for each.
2 2
5. y = –2x2
6. y =
x
3
x
y
x
Max or min
max or min value:
y
Max or min
___
max or min value:
Vertex: ______
Vertex: ______
equation of axis of sym:______
Domain: ________
y-int: ___
Range: _________
7.
y = 2x2 + 4x – 6
x
y
equation of axis of sym:______
Domain: ________
x
value:
value:
Vertex: ______
Range: _________
y
Max or min
___
y-int: ___
y = x2 + 2x – 1
8.
Max or min
___
Vertex: ______
equation of axis of sym:______
Domain: ________
___
y-int: ___
Range: _________
equation of axis of sym:______
Domain: ________
y-int: ___
Range: _________
9.
y = 3x2 – 6x – 5
10. y = –2x2 + 4x + 1
x
y
x
y
Max or min
Max or min
value:
value:
___
Vertex: ______
Vertex: ______
equation of axis of sym:______
Domain: ________
___
y-int: ___
Range: _________
equation of axis of sym:______
Domain: ________
y-int: ___
Range: _________
Use the given graphs to find the missing information.
11.
12.
Vertex: _______
Vertex: _______
Axis of sym:________
Axis of sym:________
y-int: _________
y-int: _________
Use your graphing calculator to find the following information.
13. y = –2x2 – 8x + 1
For
14. y = x2 + 4x – 5
Max or min?
Vertex: ______
Max or min?
Vertex: ______
Domain: ______
Range: ______
Domain: ______
Range: ______
(b)2 – 4ac,
solve the expression with the given values.
15. a = 3, b = 2, c = –1
16. a = –4, b = 9, c = 6
17. a = 8 , b = –4, c = –10
Answers:
11) (–1, 5) x = –1, y = 3
13) max, (–2, 9) D: (–, ) R: (–, 9]
15) 16
17) 336