Generate ordered pairs for each function using the given values for x. Graph the ordered pairs and describe the pattern.
y=x^2 +3; x=-2, -1, 0,1,2y=x2 + 3; x=−2,−1, 0, 1, 2y=x2 + 3; x=−2,−1, 0, 1, 2y=x2 + 3; 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?
To get the values for y, replace x with each of its values:
y = x² + 3
When x = -2: y = (-2)² + 3 = 4 + 3 = 7 ---> (-2, 7)
When x = -1: y = (-1)² + 3 = 1 + 3 = 4 ---> (-1, 4)
Etc.
Graph these points and connect them, in order, with a smooth curve and extend the curve past both ends.
OK?
To get the values for y, replace x with each of its values:
y = x² + 3
When x = -2: y = (-2)² + 3 = 4 + 3 = 7 ---> (-2, 7)
When x = -1: y = (-1)² + 3 = 1 + 3 = 4 ---> (-1, 4)
Etc.
Graph these points and connect them, in order, with a smooth curve and extend the curve past both ends.
OK?