# Review 5.6-5.8 ```Algebra B
Unit 5 Part 2
Review
1
Name ______________________________________________
LT 5.6
Given a quadratic equation, I can complete a table of values, draw the graph,
identify the domain, range, intercepts, vertex, and axis of symmetry.
For problems #1 and #2: complete the table, state the coordinates of the vertex, x-intercepts, and yintercept, write the equation for the axis of symmetry, state the domain and range, and draw the graph.
#1
y  x 2  6x  8
x
0
1
2
3
4
5
6
y
Vertex _____________________
Axis of symmetry _____________
x-intercepts ___________________
y-intercept ____________________
Domain _______________________
Range ________________________
#2
y   x 2  4 x  12
x
-3
-2
-1
0
1
2
3
4
5
y
Vertex _____________________
Axis of symmetry _____________
x-intercepts ___________________
y-intercept ____________________
Domain _______________________
Range ________________________
Algebra B
Unit 5 Part 2
Review
2
LT 5.8 I can graph a quadratic function by finding the vertex, x-intercepts, y-intercept and axis
of symmetry.
For problems #3 and #4: calculate the x-intercept and vertex and state their coordinates, state the
coordinates of the y-intercept and the equation for the axis of symmetry, state the domain and range, and
draw the graph.
#3
y  x 2  2x  6
a) Find the vertex. ___________
b) axis of symmetry __________
(show work)
c) x-intercepts _________ __________
(show work)
d) y-intercept __________
e) domain ______________
range _______________
y  x 2  2x  8
#4
a) Find the vertex. ___________
(show work)
b) axis of symmetry __________
c) x-intercepts _________ __________
(show work)
d) y-intercept __________
e) domain ______________
range _______________
Algebra B
Unit 5 Part 2
Review
3
LT 5.7 I can determine if a table of values represents a linear, exponential, or quadratic
function and make predictions of other values.
For each of the following, determine if the table represents a linear, exponential or quadratic
function and fill in the missing values.
#5 ___________
x
1
2
3
4
5
6
y
7
2
-3
-8
#6 ___________
x
1
2
3
4
5
6
y
-1
-4
-11
-22
If ax2 +bx + c = 0 and a≠0 then
#7 __________
x
1
2
3
4
5
6
#8 __________
x
1
2
3
4
5
6
y
9
15
23
33
for
y = ax2 + bx + c
Axis of symmetry
−𝒃&plusmn;√𝒃𝟐 −𝟒𝒂𝒄
x=
𝟐𝒂
discriminant: b2 – 4ac
y
14
7
3.5
1.75
Vertex
(x, y)
𝒙=
−𝒃
𝟐𝒂
```