We are given:
There seems to be nothing I can do to simplify this equation. However, I can factor out an since they both have at least an
. Here is what we get:
This is in the simplest form I can get into. I cannot do anything more to simplify this expression. This is your final answer.
Answer:
C. (-2,4)
Step-by-step explanation:
We have been given a function and we are asked to find the vertex of our absolute value function.
The rules for the translation of a function are as follows:
Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.
Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.
Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.
Answer:
To solve this problem, we can use a system of equations.
We know the quadratic expression has the form
Using points (1,12) and (4,0), we can form the following system to find a and b.
We need to divide the second equation by -4 and sum both equations
Then, we use this value to find the other variable
or
According to this expression, after 2 seconds, the height is 16 feet.