5.1-5.3 HOMEWORK
1.) GRAPH:
f ( x) = x 2 ! 4 x ! 5
Steps for graphing quadratic equations:
& ' b & ' b ##
Find the vertex $$
, f$
! !!
% 2a % 2a " "
Find x-values equidistant from the x-coordinate of the vertex.
vertex
x
f(x)
Follow Up Questions:
a=____ b=____ c=_____
•
Graphs opens up or down ?
Why ?
•
What is the axis of symmetry ?
•
What is the y-intercept ?
•
How can you find the x-intercepts of this graph algebraically?
5.1-5.3 HOMEWORK
GRAPH:
f ( x) = !2 x 2 + 4 x + 16
Steps for graphing quadratic equations:
& ' b & ' b ##
Find the vertex $$
, f$
! !!
% 2a % 2a " "
Find x-values equidistant from the x-coordinate of the vertex.
vertex
x
f(x)
Follow Up Questions:
a=____ b=____ c=_____
•
Graph opens up or down ?
Why ?
•
What is the axis of symmetry ?
•
What is the y-intercept ?
•
How can you find the x-intercepts of this graph algebraically?
5.1-5.3 HOMEWORK
GRAPH:
f ( x) = !8 x 2 + 2
Steps for graphing quadratic equations:
& ' b & ' b ##
Find the vertex $$
, f$
! !!
% 2a % 2a " "
Find x-values equidistant from the x-coordinate of the vertex.
vertex
x
f(x)
Follow Up Questions:
a=____ b=____ c=_____
•
Graph opens up or down ?
•
What is the axis of symmetry ?
•
What is the y-intercept ?
•
How can you find the x-intercepts of this graph algebraically
(note b=0) ?
 Method 1
 Method 2
Why ?
5.1-5.3 HOMEWORK
GRAPH:
f ( x) = 2 x 2 + 2
Steps for graphing quadratic equations:
& ' b & ' b ##
Find the vertex $$
, f$
! !!
% 2a % 2a " "
Find x-values equidistant from the x-coordinate of the vertex.
vertex
x
f(x)
Follow Up Questions:
a=____ b=____ c=_____
•
Graph opens up or down ?
Why ?
•
What is the axis of symmetry ?
•
What is the y-intercept ?
•
How can you find the x-intercepts of this graph algebraically