2. Functions, relations and graphs
Interactive practice questions
Consider the general quadratic equation $y=ax^2+bx+c$y=ax2+bx+c, $a\ne0$a≠0. Which of the following statements about the parabola described by this equation is true?
The parabola will open to the left if $a<0$a<0, and will open to the right if $a>0$a>0.
A
The parabola will open upwards if $a>0$a>0, and will open downwards if $a<0$a<0.
B
The parabola will open upwards if $a<0$a<0, and will open downwards if $a>0$a>0.
C
The parabola will open to the left if $a>0$a>0, and will open to the right if $a<0$a<0.
D
Easy
< 1min
Does the parabola represented by the equation $y=x^2-8x+9$y=x2−8x+9 open upward or downward?
Easy
< 1min
The graph of $y=x^2+6$y=x2+6 has no $x$x-intercepts.
True or False?
Easy
< 1min
Consider the given graph and answer the following questions.
Easy
1min
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