The following scatter plot represents the height of a basketball in seconds during a free throw shot.
1 answer:
The function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic. Then the quadratic equation is y = -1.25x² + 7.35x + 3.2.
<h3>What is a quadratic equation?</h3>It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The following scatter plot represents the height of a basketball in seconds during a free throw shot.
(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Then the function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic.
(b) Write a function
We know that the quadratic equation is given as ax² + bx + c = y
This will pass through the points (1, 9.3), (2, 12.9), and (3, 14). Then we have
On solving the equations 1, 2, and 3. Then we have
a = -1.25, b = 7.35, and c = 3.2
Then the quadratic equation will be
y = -1.25x² + 7.35x + 3.2
More about the quadratic equation link is given below.
#SPJ1
You might be interested in
Answer:
Please refer to the attached graph for the graph of linear inequality:
Step-by-step explanation:
Method to draw graph of inequality:
<u>1. First of all replace the inequality sign with equality.</u>
Now the equation is:
Now, find point and plot them.
Let us put x = 0, we get y = -1. So one point is <em>(0, -1)</em>
Let us put y = 0, we get x = 2. So one point is <em>(2,0)</em>
Now, plot both the point and join with straight line on xy coordinate axis.
2. Now, try to find a random point and put in the inequality.
If the point satisfies the inequality shade the region moving from the line towards that point.
For example:
Taking a point (4, 2)
Putting in the inequality:
So, (4, 2) satisfies the inequality.
Now, shade the region moving from the line towards the point (4,2).
We get the shaded region as shown in the attached figure in the answer area.
This is the worksheet I’m doing https://www.manhassetschools.org/cms/lib8/NY01913789/Centricity/Domain/710/Aim%2082%20Pd%209%20KEY.pdf
