Question

《RANGE OF QUADRATIC FUNCTION》 ¿¿¿¿¿
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Answer 1

The values of a, b, and c determine the shape and position of the parabola. The domain of a function is the set of all real values of x that will give real values for y. The range of a function is the set of all real values of y that you can get by plugging real numbers into x. The quadratic parent function is y = x2.

Answer 2

HEY MATE HERE IS YOUR ANSWER

$Y =Ax^{2}+Bx+C\\\\0=Ax^{2}+ Bx+C-Y\\\\X=\frac{-B\frac{+}{-} \sqrt{B^{2}-4A(C-Y) } }{2A}$

$B^{2} -4A(C-Y)\\\\ \\B^{2} -4AC-4AY\geq 0\\\\4AY\geq -B^{2}  -4AC\\\\4 AY \geq -D$

WHERE

$[\frac{-D}{4A},INFINITE ]\\ \\\\\\\\ [-INFINITE , \frac{-D}{4A}]$