It is to be noted that the Area of the Triangle formed by the points of intersection of the Parabola derived from the equation y = a(x-3) (x+2) with the derived coordinates is 12.

<h3>What is a Parabola?</h3>

In mathematics, a parabola is a symmetrical open plane curve generated when a cone meets a plane parallel to its side.

Under the influence of gravity, a projectile's journey follows a curve of this shape.

Solution:

Step I - recall that y=a(x-3)(x+2)

This means that the base of the triangle is: 3-(-2) = 5

It's Height is = 6a. We arrive at this value when we make x = 0 and utilize the absolute value of the derivation.

Given that the area of a triangle is:

y=a(x-3)(x+2), we therefore have the following equation:

12 = 1/2 * 5 * 6 * A

If A = 4/5, then the solution to our equation comes to 12.

Learn more about Parabola at:
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2 years ago

Which equation best represents the line of best fit for the scatterplot? a) y = 2x b) y = 2x + 2 c) y = −2x + 2 d) y = −x + 2

Galina-37 [17]

The equation which best represents the line of best fit for the scatterplot in the image attached below is: B. y = 2x + 2.

<h3>What is a scatter plot?</h3>

A scatter plot refers to a type of graph which uses the cartesian coordinates (x-axis and y-axis) to illustrate the values of two variables, with the resulting points revealing any correlation between the set of data.

Based on the graph attached in the image below, y = 2x + 2 is an equation which best represents the line of best fit for the scatterplot because there is a corellation between the data at this point.

Read more on scatterplot here: brainly.com/question/6592115