The graph of a quadratic function intersects the xaxis at 3 and 5.
What is a possible equation for f(x) ?
Work backwards from the solutions to the equation.
x = 3 and x = 5 x + 3 = 0 and x  5 = 0 {added 3 and subtracted 5 in the two equations} (x + 3)(x  5) = 0 {multiplied the two binomials and set equal to zero} x²  2x  15 = 0 {used distributive property / FOIL method} f(x) = x²  2x  15 {replaced 0 with f(x)} Comments are closed.

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