Identify the parent function that can be used to graph the function f(x)= |4|-3
1 answer:
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.
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Answer:
A function to represent the height of the ball in terms of its distance from the player's hands is
Step-by-step explanation:
General equation of parabola in vertex form
y represents the height
x represents horizontal distance
(h,k) is the coordinates of vertex of parabola
We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.
So,(h,k)=(18,12)
Substitute the value in equation
---1
The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0
So, y = 6
So,
6=324a+12
-6=324a
Substitute the value in 1
So,
Hence a function to represent the height of the ball in terms of its distance from the player's hands is