8.2 Homework Graphing Quadratic Functions in Factored Form PRACTICE

Last updated almost 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)