Question

What is the domain and range of the quadratic equation y = -3(x - 10)2 + 5?

A)Domain: All Real Numbers
Range: y greater than or equal to 5

B)Domain: All Real Numbers
Range: y less than or greater to 5

C)Domain: All Real Numbers
Range: y greater than or equal to 10

D)Domain: All Real Numbers
Range: y less than or greater to 10

Answer 1

hint :
domain = x values
range = y values

Answer 2

\[\large y = -3(x-10)^2 + 5\]

Notice that (x-10)^2 is always positive no matter what the x value is,
that means you're subtracting something positive from 5,
so the result will always be LESS than 5, right ?

Answer 3

consequently the range is : \(\large y \le 5\)

Answer 4

THANK YOUU!!!:)

Answer 5

yw :)