4.07 Quadratic functions (Extended)
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.
The parabola will open upwards if $a>0$a>0, and will open downwards if $a<0$a<0.
The parabola will open upwards if $a<0$a<0, and will open downwards if $a>0$a>0.
The parabola will open to the left if $a>0$a>0, and will open to the right if $a<0$a<0.
Does the parabola represented by the equation $y=x^2-8x+9$y=x2−8x+9 open upward or downward?
The graph of $y=x^2+6$y=x2+6 has no $x$x-intercepts.
True or False?
Which of the following can be found without any calculation in the equation of the form $y=\left(x-h\right)^2+k$y=(x−h)2+k but not in the equation of the form $y=x^2+bx+c$y=x2+bx+c?