Tick the equation form you wish to explore and move the sliders.[br]Which key features relate directly to each form? (vertex, axis of symmetry, roots, y-intercept). Answer the questions below to complete the exit ticket. Be sure your changes are saved before exiting.[br]
Can the graphs of quadratic functions always be represented algebraically in the 3 forms? Why or Why not?
[b]Every quadratic function can be written in [i]standard form[/i] and [i]vertex form[/i],[/b][br][br]but [b]not every quadratic can be written in [i]factored (intercept) form[/i] with real numbers.[br][br][/b]If the parabola does not cross the x-axis there are no real factors.
1. [math]f\left(x\right)=2x^2-4x-6[/math][br][br]2. [math]f\left(x\right)=-3\left(x+2\right)^2+8[/math][br][br]3. [math]f\left(x\right)=-\left(x-2\right)\left(x-6\right)[/math]