Question

When graphing parabolas I know there's a specific way to tell whether to shade the inside or the outside. It depends on which sign you use in your equation(<,>) One means to shade the inside and one means to shade the outside. Does anyone know which goes with which??

Answer 1

I think this might helps
http://www.purplemath.com/modules/grphquad2.htm

Answer 2

Thanks! :)

Answer 3

greater than , take any point and see which side of the thing the larger value is, shade above for greater than , and below for less than

Answer 4

If all you're doing is graphing a parabola, you don't shade any part of the graph. If you were told to shade, then you are dealing with an inequality problem.

Answer 5

inside would be the greater than part

it opens wider forever, you can say ' above' and 'below' for that , i think

Answer 6

inside the parabola is always a larger value than the value on the curve, for y=x^2

Answer 7

if it is y = -x^2, it opens down, things are opposite, inside that one will be the less than smaller values

Answer 8

Again, where you shade a parabola depends upon the particular inequality you're graphing.

Where would you shade\[5x^2-2x +1\le8?\]

Answer 9

Once again: NO SHADING unless you are dealing with an inequality.

Answer 10

Open Up +x^2
greater than values are inside the curve, above
less than is everything else, below

opens down -x^2
opposite case

greater than values are outside the curve, above
less than values are inside the curve, below

Answer 11

the parabola represented by \[5x^2-2x +1\le8\] opens up. We know that much. Note that this is an inequality. Which line or curve represents the smallest possible y values? the largest possible y valule?

Answer 12

for any function
if it is greater than , the solution region is above the curve
if it is less than , then the solution region is below the curve

Answer 13

Thanks for all the help guys! I understand it much better now :)

Answer 14

Dan: Please take a look at this product of Wolfram Alpha:

http://www.wolframalpha.com/input/?i=5x%5E2-2x+%2B+1+is+less+than+or+equal+to+8

Answer 15

that is not a function y=f(x)

Answer 16

solve the thing for y
if y > shade above the curve
y < shade below

Answer 17

oh, that is the solution set for the parabola and the line

Answer 18

y > parabola
and
y < line

results in that region, and in that case you can combine the two things to a single inequality

parabola < y < line

that is how you write that sort of inequality

parabola < line

Answer 19

For just one function , all the area above is greater , all area below is less than

compound functions like yours, has shading only where both the parts solution regions overlap and are in common