Equivalent Quadratics
Use the app to answer the questions below.
Move the sliders for b and c to produce the equivalent functions. Record your results for each of the following functions.
1) \(g(x) = (x - 2)(x + 3) =\)
2) \(h(x) = (x + 4)(x -5) =\)
3) \(i(x) = (x + 8)(x + 7) =\)
4) \(j(x) = (x - 6)(x - 6) =\)
5) \(k(x) = (x + 9)(x + 9) =\)
6) \(m(x) = (x - 1)(x - 3) =\)
What do you notice about the relationships between the two equivalent functions?
1) \(g(x) = (x - 2)(x + 3) =\)
2) \(h(x) = (x + 4)(x -5) =\)
3) \(i(x) = (x + 8)(x + 7) =\)
4) \(j(x) = (x - 6)(x - 6) =\)
5) \(k(x) = (x + 9)(x + 9) =\)
6) \(m(x) = (x - 1)(x - 3) =\)
What do you notice about the relationships between the two equivalent functions?