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8.1 Homework Graphs of Quadratic Functions & their Key Features Practice

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Last updated about 2 years ago
6 questions
1
Question 1
1.
What is the standard form of a quadratic function?
{f(x) =} _______
1
1
10
10
10
Question 2
2.

What shape does the graph of a quadratic function create?

Question 3
3.

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

Question 4
4.
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}_______ {}
Question 5
5.
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}_______
Question 6
6.
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}_______