Answer: (-4,-8)
Step-by-step explanation: I got a 100% on the quiz
Translation of 7 units to the right ⇒ subtract 7 units to the argument ⇒ f(x-7)
Translation of 5 units up ⇒ add 5 units to the function ⇒ f(x) + 5
g(x) = f (x-7) + 5 = (x-7)^2 + 5
The subtraction of 7 units to the argument of the function (this is x) translates the function 7 units to the right.
Adding 5 units to the function f, translates the graph 5 units up.
Answer:
Step-by-step explanation:
"f (x) = StartRoot 4 x + 9 EndRoot + 2" should be written as
Note that √(4x + 9) is a variation of the basic function y = √x, whose domain is [0, ∞ ).
The domain of f(x) = √(4x + 9) + 2 is found by taking the "argument" 4x + 9 of √(4x + 9) and setting it equal to zero:
4x + 9 ≥ 0, or
4x ≥ -9, or
x ≥ -9/4
This is the domain of the given function f(x) = √(4x + 9) + 2. So long as x is ≥ -9/4, the function f(x) will be defined.