Answer:
f(x) = (x + 4)² - 3
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² + 8x + 13
To obtain f(x) in vertex form use the method of completing the square
add/ subtract (half the coefficient of the x- term)² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 + 13
f(x) = (x + 4)² - 3 ← in vertex form
The volume of candle holder is 30 inches cubed.
Step-by-step explanation:
Given,
Area of base = A = 15 square inches
Height of candle holder = H = 6 inches
As the holder is in shape of triangular pyramid, therefore,
Volume of candle holder = 
Volume of candle holder = 
Volume of candle holder = 
The volume of candle holder is 30 inches cubed.
Answer:
Option A, As x increases, the rate of change exceeds the rate of f
Answer:
Value would decrease
Step-by-step explanation:

is undefined if the argument

is negative, so you first need to require that

We're not done yet, though, because

still doesn't exist when

, so we remove this from the domain and we're left with

, or in interval notation,

To find the range, consider the limits of the function as you approach either endpoint of the domain.


Since

is positive everywhere, the range is