Algebra 1
Ch. 8 Review
Name: __________________________
Date: ______________ Period: ______
SHOW ALL WORK!!!!!!!!!!!!!!!
Identify the characteristics of the quadratic function and its graph. ( points)
1.
2.
Vertex:____________
Vertex:____________
AOS: ____________
AOS: ____________
Domain: ____________
Domain: ____________
Range: ____________
Range: ____________
y-intercept: __________
y-intercept: _________
x-intercept: __________
x-intercept: __________
Describe the transformations from 𝑓(𝑥) = 𝑥 2 to the given graph and equation. ( points)
3.
4.
𝑓(𝑥) = −4(𝑥 + 3)2 + 2
Graph the following quadratic functions and identify each of the key features. ( points)
5. 𝑓(𝑥) = 𝑥 2 + 4𝑥 − 5
Axis of Symmetry: __________________
Vertex: ________________
Direction of Opening: __________________
y-intercept: _____________________
x-intercepts: ____________________
Domain: ________________________
Range: _________________
Maximum/Minimum Point: ________________
𝑥
𝑦
6. 𝑓(𝑥) = 2(𝑥 − 1)2 − 8
Axis of Symmetry: __________________
Vertex: ________________
Direction of Opening: __________________
y-intercept: _____________________
x-intercepts: ____________________
Domain: ________________________
Range: _________________
Maximum/Minimum Point: ________________
𝑥
𝑦
1
7. 𝑓(𝑥) = − 2 (𝑥 − 3)(𝑥 + 4)
Axis of Symmetry: __________________
Vertex: ________________
Direction of Opening: __________________
y-intercept: _____________________
x-intercepts: ____________________
Domain: ________________________
Range: _________________
Maximum/Minimum Point: ________________
𝑥
𝑦