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