8.3 Homework Graphing Quadratic Functions in Standard Form

Last updated almost 2 years ago

9 questions

What you should recall so far:

The shape of the graph of a quadratic function is a _______ 

The factored form of a quadratic function is: {f(x) = }_______ 

The standard form of a quadratic function is: {f(x) =} _______ 

We know that the parabola opens upward when {a \gt} _______ ; it opens downward when {a \lt} _______;

If a parabola has a maximum value it opens _______; if it has a minimum value it opens _______;

In standard form, the value of the constant, {\bold c}, is also the _______ on the graph.

In standard form, the 𝒙-coordinate of the vertex can be found using the formula{ x=}_______ .

Graph each quadratic function and identify the key features requested

Graph {𝒚=𝟐𝒙^{𝟐}−𝟒𝒙−𝟑}
a:_______    b:_______    c:_______ 

{x= \frac{-b}{2a} =}_______ 

vertex: {\Large (}_______,_______{\Large )}

y-intercept: {\Large (}_______,_______{\Large )}

Axis of symmetry: _______ 

Domain: _______{\lt x \lt}_______ 

Range: _______{\le y \lt}_______ 

Upload your Graph: _______ (leave this box empty)

Graph {𝒚=-𝟐𝒙^{𝟐}−8𝒙+1}
a:_______    b:_______    c:_______ 

{x= \frac{-b}{2a} =}_______ 

vertex: {\Large (}_______,_______{\Large )}

y-intercept: {\Large (}_______,_______{\Large )}

End Behavior:
       {as \space x \rightarrow -\infty \space , \space y \rightarrow} _______ 
       {as \space x \rightarrow -\infty \space , \space y \rightarrow}_______ 

Graph decreases: _______{\lt x \lt}_______ 

Upload your Graph: _______ (leave this box empty)