You can view as many worked out examples as you want. First you are shown the question. Click Show Answer to view the answer.
Click Show another Example to view another example. The best way to master mathematics is by practice. But practice requires time.
If you don't have the time to practice, you can always view many practice problems completely worked out and become good at it too.
QuestionWrite the equation of the
parabola $y=-2x^{2}-12x+7$ in the
standard form. Then determine the
vertex,
focus,
directrix and the
axis of symmetry of the
parabola. Also, state which way the parabola opens.
Answer$y=-2x^{2}-12x+7$
$y=-2\left(x^{2}+6x\right)+7$
$y=-2\left(x^{2}+6x+9\right)+18+7$
$y=-2\left(x+3\right)^2+25$
$y-25= -2\left(x+3\right)^2$
The
parabola opens down words.
The
vertex is given by $V\left(-3,25\right)$
The
focus is given by $F\left(-3,\frac{49}{2}\right)$
The
directrix is given by $y= \frac{51}{2}$
The
axis of symmetry is given by $x=-3$