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What is the formula for transforming a quadratic function into a vertex?
The formula for transforming a quadratic function into a vertex is: y=ax? +bx+c, the formula to turn it into a vertex is: y=a(x+b/2a)? +(4ac-b? )/4a .

The preparation process is as follows:

y=ax? +bx+c

=a(x? +bx/a)+c

=a(x? +bx/a+b? /4a? -B? /4a? )+c

=a(x+b/2a)? -B? /4a+c

=a(x+b/2a)? +(4ac-b? )/4a

For the general quadratic function y = ax 2+bx+c, its vertex coordinates are (-b/2a, (4ac-b? )/4a).

Brief introduction of quadratic function:

The basic expression of quadratic function is y=ax? +bx+c(a≠0). The highest degree of a quadratic function must be quadratic. The image of a quadratic function is a parabola, and its symmetry axis is parallel or coincident with the Y axis.

The expression of quadratic function is y=ax? +bx+c (and a≠0), which is defined as quadratic polynomial (or monomial).