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Math Lessons
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Calculators
Quadratic Equations, Inequalities, and Functions
Quadratic function and discriminant
Graphing quadratic function
Graphing quadratic function
ans:
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DEL
ANS
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(
)
÷
×
7
8
9
–
4
5
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+
1
2
3
=
0
.
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Question 1:
1 pts
The equation of quadratic function which graph is shown in the figure at the right is:
f
(
x
)
=
−
x
2
f(x)=-x^2
f
(
x
)
=
−
x
2
f
(
x
)
=
x
2
f(x)=x^2
f
(
x
)
=
x
2
f
(
x
)
=
−
(
x
+
1
)
2
f(x)=-{(x+1)}^2
f
(
x
)
=
−
(
x
+
1
)
2
f
(
x
)
=
(
x
+
1
)
2
f(x)={(x+1)}^2
f
(
x
)
=
(
x
+
1
)
2
Question 2:
1 pts
The equation of quadratic function which graph is shown in the figure at the right is:
f
(
x
)
=
x
2
+
1
f(x)=x^2+1
f
(
x
)
=
x
2
+
1
f
(
x
)
=
x
2
−
1
f(x)=x^2-1
f
(
x
)
=
x
2
−
1
f
(
x
)
=
−
x
2
+
1
f(x)=-x^2+1
f
(
x
)
=
−
x
2
+
1
f
(
x
)
=
−
x
2
−
1
f(x)=-x^2-1
f
(
x
)
=
−
x
2
−
1
Question 3:
1 pts
The graph of quadratic function
f
(
x
)
=
−
21
x
2
+
14
x
−
23
f(x)=-21x^2+14x-23
f
(
x
)
=
−
21
x
2
+
14
x
−
23
opens downward.
Question 4:
2 pts
Graphs of functions
f
(
x
)
=
x
2
f(x) = x^2
f
(
x
)
=
x
2
and
g
(
x
)
=
1
2
x
2
g(x)={\frac12}x^2
g
(
x
)
=
2
1
x
2
are shown at the right. Which of the following is correct?
blue line is a graph of
f
(
x
)
f(x)
f
(
x
)
blue line is a graph of
g
(
x
)
g(x)
g
(
x
)
Question 5:
2 pts
Graphs of functions
f
(
x
)
=
0.23
x
2
−
1.3
x
f(x)=0.23x^2-1.3x
f
(
x
)
=
0.23
x
2
−
1.3
x
and
g
(
x
)
=
−
0.53
x
2
+
2
x
g(x)=-0.53x^2+2x
g
(
x
)
=
−
0.53
x
2
+
2
x
are shown at the right. Which of the following is correct?
blue line is a graph of
f
(
x
)
f(x)
f
(
x
)
blue line is a graph of
g
(
x
)
g(x)
g
(
x
)
Question 6:
2 pts
Which of the following graphs represent
f
(
x
)
=
x
2
−
3
x
f(x)=x^2-3x
f
(
x
)
=
x
2
−
3
x
?
blue graph
red graph
Question 7:
2 pts
Consider a graph of the function
f
(
x
)
=
a
x
2
+
b
x
+
c
f(x)=ax^2+bx+c
f
(
x
)
=
a
x
2
+
b
x
+
c
shown at the right. Which of the following statements is true?
a
>
0
a>0
a
>
0
a
<
0
a<0
a
<
0
the sign of
a
a
a
cannot be determined
Question 8:
2 pts
Consider a graph of the function
f
(
x
)
=
a
x
2
+
b
x
+
c
f(x)=ax^2+bx+c
f
(
x
)
=
a
x
2
+
b
x
+
c
shown at the right. Which of the following statements is true?
a
>
0
a>0
a
>
0
a
<
0
a<0
a
<
0
the sign of
a
a
a
cannot be determined
Question 9:
3 pts
Consider a graph of the function
f
(
x
)
=
a
x
2
+
b
x
+
c
f(x)=ax^2+bx+c
f
(
x
)
=
a
x
2
+
b
x
+
c
shown at the right. Which of the following statements is true?
a
>
0
a>0
a
>
0
c
>
0
c>0
c
>
0
a
>
0
a>0
a
>
0
c
<
0
c<0
c
<
0
a
<
0
a<0
a
<
0
c
>
0
c>0
c
>
0
a
<
0
a<0
a
<
0
c
<
0
c<0
c
<
0
Question 10:
3 pts
Consider a graph of the function
f
(
x
)
=
a
x
2
+
b
x
+
c
f(x)=ax^2+bx+c
f
(
x
)
=
a
x
2
+
b
x
+
c
shown at the right. Which of the following statements is true?
a
<
0
a<0
a
<
0
c
=
2
c=2
c
=
2
a
>
0
a>0
a
>
0
c
=
2
c=2
c
=
2
a
<
0
a<0
a
<
0
c
=
1
c=1
c
=
1
a
>
0
a>0
a
>
0
c
=
1
c=1
c
=
1
Question 11:
3 pts
Which of the following graphs represent
f
(
x
)
=
1
2
x
2
−
2
x
+
1
f(x)={\frac12}x^2-2x+1
f
(
x
)
=
2
1
x
2
−
2
x
+
1
?
red graph
blue graph
green graph
Question 12:
3 pts
Which of the following graphs represent
f
(
x
)
=
−
(
x
+
2
)
2
f(x)=-{(x+2)}^2
f
(
x
)
=
−
(
x
+
2
)
2
?
red graph
blue graph
green graph
Question 13:
3 pts
What is the equation of the function with graph at the left?
f
(
x
)
=
(
x
−
1
)
(
x
+
2
)
f(x)=(x-1)(x+2)
f
(
x
)
=
(
x
−
1
)
(
x
+
2
)
f
(
x
)
=
(
x
+
1
)
(
x
−
2
)
f(x)=(x+1)(x-2)
f
(
x
)
=
(
x
+
1
)
(
x
−
2
)
f
(
x
)
=
1
/
2
(
x
−
1
)
(
x
+
2
)
f(x)=1/2(x-1)(x+2)
f
(
x
)
=
1/2
(
x
−
1
)
(
x
+
2
)
f
(
x
)
=
1
/
2
(
x
+
1
)
(
x
−
2
)
f(x)=1/2(x+1)(x-2)
f
(
x
)
=
1/2
(
x
+
1
)
(
x
−
2
)
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Pre-algebra
Polynomials
Linear equations
Quadratic equations
Radicals
Exponents and Logarithms
Trigonometry
Algebra 2
Geometry
Solid Figures
Solving quadratic equations
Solving by square root
Completing the square
Quadratic formula
Graphing function and discriminant
Graphing quadratic function
Discriminant of a quadratic equation
