The distance between the focus and directrix is, in this case, 8. Since the directrix is at x= something, the parabola opens sideways, and since the directrix is on the left, to the right. In which case, y^2=p(x), where p is 4 times distance of half of distance between directrix and focus, so the answer is y^2=16x
1. -21
2. −39
3.−42
4. -5
5. −3
for the other question u can use calculator :)
Start by finding the vertex, which is the point the parabola turns. The x value is -b/2a, which you have in your notes here. b = -8 and a = 2 and therefore the x value of the vertex is 2. Plug that in to find the y value, which is -2.
Start by plotting this point and the y intercept, which is 6. The parabola will be a U shape, which goes upwards starting at the vertex. If you draw that using the side with the y intercept, you can just mirror it on the other side of the vertex.
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Step-by-step explanation: