Quadratic Equations Group Work
GRAPH:
NO Calculator
f (x) = x 2 " 4 x " 5
Steps for graphing quadratic equations:
& ' b & ' b ##
Find the vertex $$
, f$
! !!
!
% 2a % 2a " "
Find x-values equidistant from the x-coordinate of the vertex.
vertex
x
f(x)
Follow Up Questions:
Is the quadratic equation in standard form ? _________
a=____ b=____ c=_____
Why does this function graph a parabola ? _____________
What is the axis of symmetry ? __________________
What is the y-intercept ?
__________________
How can you find the y-intercept algebraically?
_____________________________
_____________________________
What are the x-intercepts?
How can you find the x-intercepts algebraically ?
_______________________
_______________________________________
_______________________________________
Quadratic Equations Group Work
GRAPH:
Calculator
f (x) = "x 2 + 4
vertex
x
f(x)
!
Follow Up Questions:
Is the quadratic equation in standard form ? _________
a=____ b=____ c=_____
Graph opens up or down ? ____________ Why ? ________
Why does this function graph a parabola ? _____________
What is the axis of symmetry ? __________________
What is the y-intercept ?
__________________
How can you find the y-intercept algebraically?
_____________________________
_____________________________
What are the x-intercepts?
How can you find the x-intercepts algebraically ?
_______________________
_______________________________________
_______________________________________
GRAPH:
f (x) = x 2 " 6x
vertex
x
f(x)
!
Follow Up Questions:
Is the quadratic equation in standard form ? _________
a=____ b=____ c=_____
Graph opens up or down ? ____________ Why ? ________
Why does this function graph a parabola ? _____________
What is the axis of symmetry ? __________________
What is the y-intercept ?
__________________
How can you find the y-intercept algebraically?
_____________________________
_____________________________
What are the x-intercepts?
How can you find the x-intercepts algebraically ?
_______________________
_______________________________________
_______________________________________