Answer :
The three types of quadratic equations are:
1. Standard form: [tex]y = ax^2 + bx + c[/tex]
2. Factored form: [tex]y = a(x - r_1)(x-r_2)[/tex]
3. Vertex form: [tex]y = a(x -h)^2+k[/tex]
What is quadratic equation?
Any equation in algebra that can be rearranged in standard form as: [tex]ax^2 + bx + c=0[/tex] is known as a quadratic equation (from the Latin quadratus, "square").
where a ≠ 0 and a, b, and c are known numbers, x is an unknown value, and a. The equation is linear, not quadratic, if a = 0 and b ≠ 0. The coefficients of the equation, denoted by the numbers a, b, and c, are the quadratic coefficient, linear coefficient, and constant or free term, respectively.
Hence, the three types of quadratic equations are:
1. Standard form: [tex]y = ax^2 + bx + c[/tex]
2. Factored form: [tex]y = a(x - r_1)(x-r_2)[/tex]
3. Vertex form: [tex]y = a(x -h)^2+k[/tex]
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