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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?
    $f(x)=(x-1)(x+2)$
    $f(x)=(x+1)(x-2)$
    $f(x)=1/2(x-1)(x+2)$
    $f(x)=1/2(x+1)(x-2)$

Solving quadratic equations

Graphing function and discriminant