3. What is the domain of the quadratic function y = 3(x - 4)² - 6?
A all positive nos.
B. all negative nos.
C. all real nos.
D. all rational nos.
Answer:
letter C.
Step-by-step explanation:
it is written in vertex form y=a(x-h)²+k
given that 3(x-4)²-6 the domain is simply all real numbers because you can put any numbers to x.
the range: just simply check the value of a and k
note :
[tex]a> 0 \: \: \: \: \: \: y \geqslant k[/tex]
[tex]a < 0 \: \: \: \: \: \: \: y \leqslant k[/tex]
in the equation: 3(x-4)²-6
where : a= 3 and it is greater then zero
k = -6
the range is
[tex]y \geqslant - 6[/tex]
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