Generate ordered pairs for each function using the given values for x. Graph the ordered pairs and describe the pattern.
y=-(x^2); x=-2,-1,0,1,2y=−(x2); x=−2,−1, 0, 1, 2 y=−(x2); x=−2,−1, 0, 1, 2
| Input | Output | Ordered Pair |
| x | y | (x, y) |
| –2 |
|
|
| –1 |
|
|
| 0 |
|
|
| 1 |
|
|
| 2 |
|
|
The graph of this function can best be described as what?
Again, replace x with each of its values:
x = -2 ---> y = -[ (-2)² ] = -[ 4 ] = -4 ---> (-2, -4)
x = -1 ---> y = -[ (-1)² ] = -[ 1 ] = -1 ---> (-2, -1)
Etc.
Connect these points, in order, with a smooth curve, and extend the curve both to the right and to the left.
OK?
If your equation has no exponents on the x-term, it will create a straight line.
If your equation has an exponent of two (and no other exponents -- except for, maybe, one), it will create a parabola.
Again, replace x with each of its values:
x = -2 ---> y = -[ (-2)² ] = -[ 4 ] = -4 ---> (-2, -4)
x = -1 ---> y = -[ (-1)² ] = -[ 1 ] = -1 ---> (-2, -1)
Etc.
Connect these points, in order, with a smooth curve, and extend the curve both to the right and to the left.
OK?
If your equation has no exponents on the x-term, it will create a straight line.
If your equation has an exponent of two (and no other exponents -- except for, maybe, one), it will create a parabola.