8.2 Homework Graphing Quadratic Functions in Factored Form PRACTICE

Last updated about 2 years ago

6 questions

Note from the author:

Write ALL intercepts left to right, smallest to largest.

Instructions

Write ALL intercepts left to right, smallest to largest.

8.2 Homework Graphing Quadratic Functions in Factored Form PRACTICE

Last updated about 2 years ago

6 questions

Note from the author:

Write ALL intercepts left to right, smallest to largest.

Instructions

Write ALL intercepts left to right, smallest to largest.

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

What do 𝒑 and 𝒒 represent?

Find the zeros of the function: {𝑓(𝑥)=(𝑥+3)(𝑥−1)}
smaller zero: _______ 
larger zero: _______ 

Graph {𝒚=(𝒙−𝟑)(𝒙+𝟑)}
Graph on paper.

{\bold a) }x-intercepts: _______ , _______ 
{\bold b)} vertex: {\Large (}_______,_______{\Large )}(the x-coordinate is the average of the x-intercepts)

{\bold c)} What is the range of the function? _______ {\le y \lt}_______ 

{\bold d)} Upload your graph below: _______ (leave this box empty)

Graph {𝒚=𝟐(𝒙−𝟏)(𝒙+𝟑)}
Graph on paper.

{\bold a) }x-intercepts: _______ , _______ 
{\bold b)} vertex: {\Large (}_______,_______{\Large)} (the x-coordinate is the average of the x-intercepts)

{\bold c)} What is the domain of the function? _______ {\lt y \lt}_______ 

{\bold d)} Upload your graph below: _______ (leave this box empty)

Graph {𝒚=−\frac{𝟏}{2}(𝒙+𝟐)(𝒙−𝟔)}
Graph on paper.

{\bold a) }x-intercepts: _______ , _______ 
{\bold b)} vertex: {\Large (}_______,_______{\Large )} (the x-coordinate is the average of the x-intercepts)

{\bold c)} What is the end behavior of the function?
        {\textit{as} \space x \rightarrow -\infty \space , y \space \rightarrow}_______
        {\textit{as} \space x \rightarrow \infty \space , \space y \rightarrow }_______ 
{\bold d)} Over what interval is the function increasing? _______{\lt x \lt} _______ 
{\bold e)} Upload your graph below: _______ (leave this box empty)