Answer:
(x - 3)² = - (y - 14)
The maxima of the function is (3,14).
Step-by-step explanation:
The formula of a quadratic function is given by y = - x² + 6x + 5
We have to write this in the vertex form.
Now, y = - x² + 6x + 5
⇒ y = - (x² - 6x + 9) + 9 + 5
⇒ y - 14 = - (x - 3)²
⇒ (x - 3)² = - (y - 14)
This is the equation of the parabola in vertex form.
This parabola has the vertex at (3,14) and the axis of the parabola is parallel to the negative y-axis.
Therefore, the maxima of the function is at (3,14). (Answer)
