Example 1
Completion requirements
| Example 1 |
Graph the quadratic function \(f(x) = -3(x + 2)^2 - 3 \).
Start with a table of values that surround the vertex \((-2, -3).\)
Next, plot the points on a coordinate plane with an appropriate scale, and draw a smooth curve through the points.
Notice that the points are plotted and labelled on the grid. The function itself is also labelled.
| \(x \) |
\(f(x) \)
|
| \(0\) |
\(f(0) = -3(0 + 2)^2 - 3 = -15\)
|
| \(-1\) | \(f(-1) = -3(-1 + 2)^2 - 3 = -6\) |
| \(-2\) | \(-3\) |
| \(-3\) | \(f(-3) = -3(-3 + 2)^2 - 3 = -6\) |
| \(-4\) | \(f(-4) = -3(-4 + 2)^2 - 3 = -15\) |
Next, plot the points on a coordinate plane with an appropriate scale, and draw a smooth curve through the points.
Notice that the points are plotted and labelled on the grid. The function itself is also labelled.
| Window Settings | |
|---|---|
| XMin |
\(−5
\) |
| XMax |
\(2
\) |
|
XScale
|
\(1
\) |
| YMin |
\(−16
\) |
| YMax |
\(2
\) |
| YScale |
\(2
\) |