Section 9.1A: Graphing Quadratic Functions Using a Table
Name: _________________________________
Practice Worksheet
Honors Algebra I
Date: _________________________________
Part I: Important Parts of a Quadratic Function
State the y-intercept, axis of symmetry, vertex, minimum, maximum, domain, and range for each quadratic function.
1.
𝑦 = −3𝑥 2 + 6𝑥 − 5
2.
𝑦 = 2𝑥 2 + 2𝑥 + 2
y-intercept:____________________
y-intercept:_______________________
Axis of Symmetry:_______________
Axis of Symmetry:__________________
Vertex:________________________
Vertex:___________________________
Minimum:_____________________
Minimum:_________________________
Maximum:_____________________
Maximum:_________________________
Domain:_______________________
Domain:___________________________
Range:_________________________
Range:_____________________________
Part II: Graphing Quadratic Functions Using a Table
Use a table of values to graph each quadratic.
3.
𝑦 = 𝑥 2 + 4𝑥 − 5
x
y
4.
𝑓(𝑥) = 2𝑥 2 − 8𝑥 − 5
x
y
y-intercept:____________________
y-intercept:_______________________
Axis of Symmetry:_______________
Axis of Symmetry:__________________
Vertex:________________________
Vertex:___________________________
Minimum:_____________________
Minimum:_________________________
Maximum:_____________________
Maximum:_________________________
Domain:_______________________
Domain:___________________________
Range:_________________________
Range:_____________________________
5.
𝑦 = 3𝑥 2 − 6𝑥 + 2.
6.
x
y
1
2
𝑓(𝑥) = − 𝑥 2 − 𝑥 + 5
x
y
y-intercept:____________________
y-intercept:_______________________
Axis of Symmetry:_______________
Axis of Symmetry:__________________
Vertex:________________________
Vertex:___________________________
Minimum:_____________________
Minimum:_________________________
Maximum:_____________________
Maximum:_________________________
Domain:_______________________
Domain:___________________________
Range:_________________________
Range:_____________________________
Part III: Application
7.
Ben shoots an arrow. The height of the arrow can be modeled by 𝑦 = −16𝑥 2 + 100𝑥 + 4, where 𝑦 represents
the height (ft) of the arrow 𝑥 seconds after it is shot into the air.
a)
Graph the path of the arrow using a table.
b)
At what height is the arrow shot?
c)
What is the maximum height of the arrow? How long does it take the arrow to reach this height?