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Completion requirements
Sketch the graph of the function \(f(x) = 4(x - 3)^2 - 6 \).
First, make a table of values surrounding the vertex \((3, -6)\).
Next, plot the points and draw a smooth curve through the points. Label the points and the curve.
First, make a table of values surrounding the vertex \((3, -6)\).
| \(x \) |
\(f(x) \)
|
| \(1\) |
\(f(1) = 4(1 - 3)^2 - 6 = 10\)
|
| \(2\) |
\(f(2) = 4(2 - 3)^2 - 6 = -2\) |
| \(3\) | \(-6\) |
| \(4\) | \(f(4) = 4(4 - 3)^2 - 6 = -2\) |
| \(5\) | \(f(5) = 4(5 - 3)^2 - 6 = 10\) |
Next, plot the points and draw a smooth curve through the points. Label the points and the curve.
| Window Settings | |
|---|---|
| XMin |
\(−1\) |
| XMax |
\(7\) |
|
XScale
|
\(1
\) |
| YMin |
\(−6
\) |
| YMax |
\(10\) |
| YScale |
\(2\) |