Question

Graph the function f(x)=(x–6)^2–2.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

Answer 1

Step-by-step:

1. Identify the vertex from f(x) = (x − 6)^2 − 2. The vertex is at (6, −2). Plot that point.

2. Pick and plot another point on the parabola. For example:
- x = 7 → f(7) = (7−6)^2 − 2 = 1 − 2 = −1, so plot (7, −1).
- (Optional) also plot the symmetric point (5, −1).

3. (Optional) Add more points for a smoother sketch: x = 4 → f(4) = 2 → (4, 2); x = 8 → f(8) = 2 → (8, 2).

4. Draw the axis of symmetry x = 6 and sketch a smooth U-shaped curve through the points; the parabola opens upward.

If you make a mistake with your interactive tool, select the second point and place it on top of the first point (the vertex) to erase the parabola, then try again.