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  • Tests in Quadratic Function and Discriminant
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Tests in Quadratic Function and Discriminant

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Current: Test on Quadratic Function
  • Q1:
    1 pts
    The equation of quadratic function which graph is shown in the figure at the right is:
    $f(x)=-x^2$
    $f(x)=x^2$
    $f(x)=-{(x+1)}^2$
    $f(x)={(x+1)}^2$
  • Q2:
    1 pts
    The equation of quadratic function which graph is shown in the figure at the right is:
    $f(x)=x^2+1$
    $f(x)=x^2-1$
    $f(x)=-x^2+1$
    $f(x)=-x^2-1$
  • Q3:
    1 pts
    The graph of quadratic function $f(x)=-21x^2+14x-23$ opens downward.
  • Q4:
    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 $g(x)$
  • Q5:
    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 $g(x)$
  • Q6:
    2 pts
    Which of the following graphs represent $f(x)=x^2-3x$ ?
    blue graph
    red graph
  • Q7:
    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
  • Q8:
    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
  • Q9:
    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?
    $a>0$ $c>0$
    $a>0$ $c<0$
    $a<0$ $c>0$
    $a<0$ $c<0$
  • Q10:
    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?
    $a<0$ $c=2$
    $a>0$ $c=2$
    $a<0$ $c=1$
    $a>0$ $c=1$
  • Q11:
    3 pts
    Which of the following graphs represent $f(x)={\frac12}x^2-2x+1$ ?
    red graph
    blue graph
    green graph
  • Q12:
    3 pts
    Which of the following graphs represent $f(x)=-{(x+2)}^2$ ?
    red graph
    blue graph
    green graph
  • Q13:
    3 pts
    What is the equation of the function with graph at the left?
    $f(x)=(x-1)(x+2)$
    $f(x)=(x+1)(x-2)$
    $f(x)=1/2(x-1)(x+2)$
    $f(x)=1/2(x+1)(x-2)$