The figure shows the graph of y = -x² + bx + c. Find the values of b and c.

b = 2, c = 3

Step-by-step explanation:

The zeros are x = - 1 and x = 3

Substitute the zeros into the equation and let y = 0

- (- 1)² - b + c = 0

- 1 - b + c = 0 → (1)

- 3² + 3b + c = 0

- 9 + 3b + c = 0 → (2)

Subtract (1) from (2) term by term, that is

- 8 + 4b = 0 ( add 8 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Substitute b = 2 into either of the 2 equations and solve for c

Substituting into (1)

- 1 - 2 + c = 0

- 3 + c = 0 ( add 3 to both sides )

c = 3

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step-by-step explanation:

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