CP ALG II 10/29/14
Combined Quadratics and Factoring Practice
1.
2.
Name: ________________
Factor completely or solve.
a.
x 2  11x  12
b.
18x 2  9x  5
c.
8m 2  2m  12mn  3n
d.
5x 2  29x  2x  18
e.
4x 2  20x  25
f.
3x 2  10x  3  11
g.
x 3  49x
h.
3x 2  21x
i.
x 2  28  3x
j.
3(x  2)  x(x  2)  0
k.
x 3  x 2y  xy 2  y 3
l.
2x 3  8x  0
A quadratic function has x-intercepts at (5, 0) and (-11, 0) and passes through the point
an equation of the quadratic in all three forms.
(6, 34). Find
3.
A quadratic function has an axis of symmetry at x  4 , has an x-intercept at (9, 0), and passes through
the point (8, 4.5). Find an equation of the quadratic in all three forms.
4.
Find the vertex, axis of symmetry, x-intercept(s), and y-intercept for f (x)  3(x  6)2  2 . Convert to
standard form.
5.
Find the vertex, axis of symmetry, x-intercept(s), and y-intercept for f (x)  3x 2  24x  60 .
6.
Determine an equation for each graphed quadratic.
a.
b.
7.
8.
Chris is playing Angry Birds.
a.
Create an equation to model the
path of the bird. Assume (6, 4) is
the vertex.
b.
Use your equation from part (a)
to find the x-intercepts.
c.
Rewrite the equation in its other two forms.
For each quadratic: Find the vertex, axis of symmetry, x-intercept(s), and y-intercept. If the quadratic
is in vertex form, convert it to standard form.
a.
f (x) = 3x 2 - 21x + 36
b.
f (x) =
1
(x - 1)2 - 4
2
c.
y - 6 = - 2(x - 4)2
d.
f (x) =
1 2
x - 4x + 6
2