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Write an equation for each representation of a quadratic function given below.

Write An Equation For Each Representation Of A Quadratic Function Given Below class=

Sagot :

Let, us assume that quadratic equation is :

[tex]y = ax^2 + bx + c[/tex]

Now, putting x = 0 and y = -4 :

[tex]c = -4[/tex]

Also, putting x = 1 and y = -3 :

[tex]ax^2 + bx + c =y\\\\a + b - 4 = -3 \\\\a + b = 1[/tex]  ....2)

Also, putting x = 2 and y = 0 :

[tex]ax^2 + bx + c =y\\\\4a + 2b + c = 0\\\\4a + 2b = 4\\\\2a - b = 2[/tex]....3)

Solving equation 2 and 3, we get :

a = 1 and b = 0

Therefore, the quadratic equation is given by [tex]y = x^2- 4[/tex] .

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