The graph of g is a vertical translation of the graph of the parent linear function. a right triangle with an area of 2 square units is formed by the x-axis, the y-axis and the graph of g. write an equation for g

Equations are used to show the relationship between related functions or variables.

The equation of g(x) is: or

The parent linear function is represented as:

The given area of the triangle is:

The area of a triangle is calculated as:

So, we have:

Multiply both sides by 2

This means that the base and height of the triangle is 2

So, the equation of g(x) is:

or

or

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g: y=± where c is the y-intercept

Step-by-step explanation:

It is given that g is a vertical translation of a linear function.

Hence g is also a linear function with general equation:

The area of the triangle formed by a straight line with slope m and y-intercept c with x-axis and y-axis is given by the formula:

Δ = ||

Given:area=2 sq units.

2=±

∴ m=±

Putting m in the equation of straight line we get.

y=± where c is the y-intercept.