The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.

As it is given in the question that he function is transformed by a compression factor of 3.

Given function

$f(x) = 7^x+1\\To\ transform\\g = f(bx)\\g = 7^{3x}+1$

The value of k will be 3 if the function is transformed by compression factor of 3

Keywords: Functions, Transformation

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6 0

3 years ago

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Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 inc

My name is Ann [436]

He will need 17 inches of ribbon.

The diagonal splits the square into two right triangles. We can then use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the triangle):

12² + 12² = x²
144 + 144 = x²
288 = x²

Take the square root of both sides:
√288 = √x²
16.97 = x
17≈x

8 0

3 years ago

What is the value of f (x)=16^x when x=1/2 ? A. 2 B. 4 C. 8 D. 32

Cerrena [4.2K]

Answer:

Step-by-step explanation:

Using the rule of exponents

$a^{\frac{m}{n} }$ ⇔ $\sqrt[n]{a^{m} }$