4. At which point does the function y = -x² + 6x - 5 reach its maximum value?
1 answer:
Answer:
(3,4)
Step-by-step explanation:
Hello!
To find the maximum value, we can find the vertex of the graph.
Since the coefficient of x² is negative, the graph opens downwards, meaning that the vertex would be the highest point.
To solve for the vertex, we can convert it to vertex form.
<h3>Convert</h3>
- y = -x² + 6x - 5
- y = -1(x² - 6x) - 5
- y = -1(x² - 6x + 9) - 5 + 9
- y = -1(x - 3)² + 4
The vertex is (3,4)
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