The standard form of the given quadratic functions in factored form are:
(x + 2)(x - 6) = X² -4x - 12
(x – 4)(x + 3) = X² -x - 12
(x – 12)(x + 1) = X² - 11x - 12
(x – 3)(x + 4) = X² + x - 12
<h3>
What are quadratic functions?</h3>
A quadratic function can be defined as a function having the highest degree 2. The standard form of a quadratic function is:
f(x) = ax²+bx+c
, where a and b are not equals zero.
To convert a factored quadratic function into the standard form, we first need to open the brackets by multiplying the integers. Then carry addition or subtraction operations to obtain the equation.
<h3>According to the given information:</h3>
We will begin with converting the first equation into standard form.
f(x)=(x+2)(x - 6)
f(x) = X² - 6x + 2x - 12
f(x) = X² -4x - 12
Similarly the standard forms for equation 2, 3, and 4 are:
f(x) = (x – 4)(x + 3)
= X² -x - 12
f(x) = (x – 12)(x + 1)
= X² - 11x - 12
f(x) = (x – 3)(x + 4)
= X² + x - 12
The standard form of the given quadratic functions in factored form are:
(x + 2)(x - 6) = X² -4x - 12
(x – 4)(x + 3) = X² -x - 12
(x – 12)(x + 1) = X² - 11x - 12
(x – 3)(x + 4) = X² + x - 12
To know more about quadratic functions visit:
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