The zeros of a parabola are 6 and negative 5 If negative 1 comma 3 is a point on the graph, which equation can be solved to find the value of A in the equation of the parabola?
Answer
A
negative 1 is equal to A open paren 3 plus 6 close paren open paren 3 minus 5 close paren
B
negative 1 is equal to A open paren 3 minus 6 close paren open paren 3 plus 5 close paren
C
3 is equal to A open paren negative 1 minus 6 close paren open paren negative 1 plus 5 close paren
D
3 is equal to A open paren negative 1 plus 6 close paren open paren negative 1 minus 5 close paren
Explanation
A parabola with zeros 6 and −5 can be written in factored form as y = A(x − 6)(x + 5). Substitute the point (−1, 3), so x = −1 and y = 3: 3 = A(−1 − 6)(−1 + 5). This is choice C.
AI-written and checked against the verified answer.