Answer:
The graph of g(x) is the graph of f(x) translated 4 units down.
Explanation:
Given the function f(x) and g(x) = f(x)-4
This means that the function g(x) is 4 less than the function g(x) i.e the function g(x) is reduced by 4. Since the negative values on a graph are located from the origin down the negative y axis and towards the negative x axis, we can conclude that the graph g(x) translated 4 units down. of f(x). This is translated along the y axis because the function g(x) serves as the output for all values on input variable x.
The g(x) can be written as a function of y i.e we can rewrite it as y = f(x)-4.
Hence the correct option is The graph of g(x) is the graph of f(x) translated 4 units down.
It's a translation.
A reflection across a line is like flipping that object like a pancake over the line. It gets turned upside-down.
When you flip the pancake again, now across a parallel line, it gets turned right-side up again, just in a new location.
Answer:
(x - 4)^2 + (y - 1)^2 = 2^2 = 4
Step-by-step explanation:
The applicable equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Here, h = 4; k = 1; and r = 2.
So the desired equation is (x - 4)^2 + (y - 1)^2 = 2^2
Answer:
x = -13/9
Step-by-step explanation:
Solve for x over the real numbers:
8^(x - 3) = 16^(3 x + 1)
Hint: | Take logarithms of both sides to turn products into sums and powers into products.
Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):
3 log(2) (x - 3) = 4 log(2) (3 x + 1)
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by log(2):
3 (x - 3) = 4 (3 x + 1)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
3 x - 9 = 4 (3 x + 1)
Hint: | Write the linear polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
3 x - 9 = 12 x + 4
Hint: | Isolate x to the left hand side.
Subtract 12 x - 9 from both sides:
-9 x = 13
Hint: | Solve for x.
Divide both sides by -9:
Answer: x = -13/9
167cm man explanation. Mark me brainliest
