Answer: Option d.
Step-by-step explanation:
1. The parent function of an absolute value function is shown below:
f(x)=|x| (This is the simplest form). Because from this function we can make transformations that allow us to obtain the function f(x) = 4|x| -3
2. If you take the parent function and make y= f(x)-3/4, then you have:
y= f(x)-3/4=|x|-3/4 (The function is shifted down 3/4 units on the y-axis).
3. Then you if you make y= 4(f(x)-3/4), as following, you obtain:
y = 4(f(x)-3/4))=4|x|-3 (The function is reflected in the y-axis).
4. That is how you obtain the final function.
Equations don't really have x intercepts, functions or curves do. They're also known as the zeros of the function. When we set a function equal to zero we get an equation to solve, and the zeros of the function become the solutions or roots of the equation.
If a quadratic equation only has one root, that's a repeated root corresponding to a discriminant of zero.
In this example our equation is something like , or expanded
The discriminant here is
The previous population was 14000.
Explanation
The population decreased by 35% since the last measurement. So the current population is less than the previous population.
current population=9100
previous population =x
current population is 35% less than the previous population x
The previous population was 14000.