Write a function rule for the table. (b is incorrect so please choose one of the other 3 answers.)
1 answer:
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Answer:
Or, in standard form:
Step-by-step explanation:
We can use the factored form of a quadratic equation:
Where a is the leading coefficient and p and q are the zeros of the quadratic.
We know that the x-intercepts are at (2, 0) and (-7, 0).
So, let's substitute 2 for p and -7 for q. This yields:
Now, we need to determine a.
We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:
We can now solve for a. First, compute:
Multiply:
Divide both sides by -8:
So, the value of a is -4.
Therefore, our entire equation is:
Notes:
We can expand this into standard form:
The other quantity which might be of interest is initial velocity
<h3>What is maximum height?</h3>
The maximum height of the object can be defined as the highest vertical position along its trajectory line.
The range of the projectile is also known as the horizontal displacement of the projectile. It is largely dependent on the initial velocity of the object.
If;
- v is the initial velocity
- g = acceleration due to gravity
- H = maximum height in meters
- θ = angle of the initial velocity from the horizontal plane (radians or degrees).
Maximum height of projectile is given by the formula:
From this, we can deduce that another quantity of interest is initial velocity
Thus, the other quantity which might be of interest is initial velocity
Learn more about maximum height here:
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