Using translation concepts, it is found that the function that would meet Daniel's needs is:
g(x) = -cf(x) - b, c > 1, b > 0
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is f(x).
The transformations are as follows:
- Vertical stretch, hence the function has to be multiplied by a constant c that is greater than 1, that is, .
- Reflection over the x-axis, hence the function is multiplied by -1, that is, .
- Shift down, hence a constant b is subtracted from the graph, that is, .
You can learn more about translation concepts at brainly.com/question/21197885
Answer:
30,000
Step-by-step explanation:
5,000 in 6 months therefore 10,000 in one year and 30,000 in 3 years
Answer:
4^2
Step-by-step explanation:
4^7x4^-5
4^(7+(-5))
4^2
The exponent is (1/15)(5), which leads to 1/3.
We now have x^(1/3), which is equivalent to the cube root of x.
Answer:
Step-by-step explanation:
38*x is not an equation, but rather an expression. In words, it's "38 times the unknown number x."
If, on the other hand, you meant 38^x, that'd be "38 to the x-th power."
Make sure you've copied down the entire problem, using " ^ " for exponentiation where appropriate.