Question

4. At which point does the function y = -x² + 6x - 5 reach its maximum value?

Answer 1

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.

Convert

• 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)