Slide & Coincide
Move the slider for \( a \) & \( b \) values which correspond to the red quadratic function which is in intercept form \( f(x) = (x − a)( x − b) \) and match it to the blue quadratic function which is in standard form \( f(x) = ax^2 + bx + c \).
Move the slider for \( a \) & \( b \) values which correspond to the red quadratic function which is in intercept form \( f(x) = (x − a)( x − b) \) and match it to the blue quadratic function which is in standard form \( f(x) = ax^2 + bx + c \).
1) What do the values of \( a \) and \( b \) represent on the graph?
2) What do the values of \( a \) and \( b \) represent for the function?
3) What are the solution(s) to the equation \( 0 = x^2 + 7x + 12 \)?
4) What are the solution(s) to the equation \( x^2 + 11x = 0 \) ?
5) What are the solution(s) to the equation \( 0 = x^2 - 81 \)?
6) What are the solution(s) to the equation \( x^2 + 3x + 5 = 0 \)?
2) What do the values of \( a \) and \( b \) represent for the function?
3) What are the solution(s) to the equation \( 0 = x^2 + 7x + 12 \)?
4) What are the solution(s) to the equation \( x^2 + 11x = 0 \) ?
5) What are the solution(s) to the equation \( 0 = x^2 - 81 \)?
6) What are the solution(s) to the equation \( x^2 + 3x + 5 = 0 \)?