Suppose a parabola y = a x 2 + b x + c has two x intercepts, one positive and one negative, and its vertex is ( 2 , - 2 ) , then which of the following is true?

Step-by-step solution

Given, y = a x 2 + b x + c has two x -intercepts one is positive and one is negative and vertex is ( 2 , - 2 ) . The graph of y = a x 2 + b x + c is Clearly from graph c > 0 - b a > 0 ⇒ - b > 0 ⇒   b < 0 f ( 1 ) = a + b + c < 0 a b < 0 , a c < 0 , b c > 0