8.1 Homework Graphs of Quadratic Functions & their Key Features Practice

Last updated almost 2 years ago

6 questions

What is the standard form of a quadratic function?
{f(x) =} _______ 

What shape does the graph of a quadratic function create?

Why does the location of the axis of symmetry have to be given as an equation?

Consider the key features discussed in this lesson for the graph of the quadratic function below.
(Key features: vertex, maximum/minimum, axis of symmetry, x-intercepts, y-intercept, domain, and range)
Vertex: {\large (}_______,_______{\large )}
Min or Max: _______
Min/Max Value: _______ 
Axis or symmetry: _______ 
End Behavior:
 {\text{as} \space x \rightarrow -\infty , y\rightarrow}_______
{\text{as} \space x \rightarrow \infty , y\rightarrow} _______ 
x-intercept(s): small =_______, large =_______ 
y-intercept: _______ 
Domain: _______ {\lt x \lt} _______ 
Range: _______ {\le y \lt}_______ 
Increases: _______ {\lt x \lt}_______ 
Decreases: _______ {\lt x \lt}_______ 
Positive: {x \lt}_______ and {x \gt}_______ 
Negative: _______ {\lt x \lt}_______ {}

Consider the key features discussed in this lesson for the graph of the quadratic function below.
(Key features: vertex, maximum/minimum, axis of symmetry, x-intercepts, y-intercept, domain, and range)
Vertex: {\large (}_______,_______{\large)}
Min or Max: _______
Min/Max Value: _______ 
Axis or symmetry: _______ 
End Behavior:
 {\text{as} \space x \rightarrow - \infty , y\rightarrow}_______
{\text{as} \space x \rightarrow \infty , y\rightarrow} _______ 
x-intercept(s): small=_______, large =_______ 
y-intercept: _______ 
Domain: _______ {\lt x \lt} _______ 
Range: _______ {\lt y \le}_______ 
Increases: _______ {\lt x \lt}_______ 
Decreases: _______ {\lt x \lt}_______ 
Positive: _______ {\lt x \lt}_______ 
Negative: {x \lt}_______ and {x \gt}_______ 

Consider the key features discussed in this lesson for the graph of the quadratic function below.
(Key features: vertex, maximum/minimum, axis of symmetry, x-intercepts, y-intercept, domain, and range)
Vertex: {\large (}_______,_______{\large )}
Min or Max: _______
Min/Max Value: _______ 
Axis or symmetry: _______ 
End Behavior:
 {\text{as} \space x \rightarrow -\infty , y\rightarrow}_______
{\text{as} \space x \rightarrow \infty , y\rightarrow} _______ 
x-intercept(s): small=_______, large =_______ 
y-intercept: _______ 
Domain: _______ {\lt x \lt} _______ 
Range: _______ {\le y \lt}_______ 
Increases: _______ {\lt x \lt}_______ 
Decreases: _______ {\lt x \lt}_______ 
Positive: {x \lt}_______ and {x \gt}_______ 
Negative: _______ {\lt x \lt}_______ 