Test:
Quadratic Function II - Ambitious
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Question 1:
Find the minimum or maximum value of
x
2
+
5
x
+
17
=
0
A
Maximum at
(
−
2
1
4
,
9
2
3
)
B
Minimum at
(
−
2
2
3
,
7
5
8
)
C
Maximum at
(
1
1
2
,
6
1
4
)
D
Minimum at
(
−
2
1
2
,
10
3
4
)
Question 2:
Find the minimum or maximum value of
12
−
13
x
−
3
x
2
=
0
A
Maximum at
(
−
2
1
3
,
23
2
5
)
B
Maximum at
(
−
2
1
6
,
26
1
12
)
C
Maximum at
(
−
1
5
6
,
17
1
4
)
D
Maximum at
(
3
1
5
,
7
4
7
)
Question 3:
Solve the simultaneous equations:
{
3
y
+
3
x
=
21
2
y
2
−
x
2
=
17
A
{
y
=
−
4.25
x
=
11.2
or :
{
y
=
5.34
x
=
2.66
B
{
y
=
−
12.42
x
=
19.42
or :
{
y
=
3.759
x
=
3.241
C
{
y
=
−
17.723
x
=
24.723
or :
{
y
=
3.723
x
=
3.277
D
{
y
=
−
3
x
=
10
or :
{
y
=
7
x
=
0
Question 4:
Solve the simultaneous equations:
{
3
x
+
y
=
5
x
2
+
y
2
=
13
A
{
x
=
1.755
y
=
8.935
or
{
x
=
−
1.365
y
=
−
6.225
B
{
x
=
0.475
y
=
3.575
or
{
x
=
2.525
y
=
−
2.575
C
{
x
=
0.45
y
=
1.705
or
{
x
=
3.299
y
=
−
5.175
D
{
x
=
0.225
y
=
3.125
or
{
x
=
0.315
y
=
4.095
Question 5:
If the roots of
3
x
2
−
5
x
+
2
=
0
are
x
1
and
x
2
, find the equation whith the roots
x
1
2
+
1
,
x
2
2
+
1
A
9
x
2
−
31
x
+
26
=
0
B
−
3
x
2
+
15
x
−
5
=
0
C
6
x
2
−
17
x
+
23
=
0
D
9
x
2
−
16
x
+
6
=
0
Question 6:
If the roots of
x
2
−
5
x
+
3
=
0
are
x
1
and
x
2
, find the equation whith the roots
1
x
1
and
1
x
2
A
3
x
2
−
x
+
7
=
0
B
3
x
2
−
5
x
+
1
=
0
C
2
x
2
−
3
x
+
5
=
0
D
x
2
−
1
5
x
+
1
3
=
0
Question 7:
Which of the following graphs is the graph of the function
y
=
x
2
−
2
x
−
1
A
B
C
D
Question 8:
Which of the following graphs is the graph of the function
y
=
−
2
x
2
−
3
x
+
7
A
B
C
D
Question 9:
Which of the following graphs is the graph of the function
y
=
1
3
x
2
+
2
x
+
1
A
B
C
D
Question 10:
Which of the following graphs is the graph of the function
y
=
−
1
3
x
2
−
1
4
x
+
1
3
A
B
C
D
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