How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #y = x^2 - 2x - 10#?
2 Answers
Complete the square
Explanation:
In this case, completing the square would give you:
Once in this form
Axis of symmetry:
Explanation:
graph{x^2-2x-10 [-28.52, 29.22, -14.43, 14.45]}
A quadratic equation in standard form is
To find the axis of symmetry, use the formula
The graph above shows that the parabola is an upward-facing one, so it has a minimum value. The max or min is always on the axis of symmetry, so you can substitute
So, the axis of symmetry is