The position of an object in a video game is represented by an ordered pair. The coordinates of the ordered pair give the

We observe that
the vertex of f(x) is located at the point (0,0)
and
the vertex of g(x) is situated at (0,5)

thus,
(x,y) in f(x)  becomes -------> (x,y+5) in g(x)
g(x)---------> f(x)+5

g(x)=x²+5

the answer is
g(x)=x²+5

The potential values for y areinfinite

Further clarification

Trigonometry is a branch of math focused on the connections between the sides and angles of triangles.

Considering special angles of trigonometric functions, for instance

In the equation y = cos⁻¹ 0, the value of y can be derived as follows:

y = cos⁻¹0

y = arc cos 0

cos y = 0

Thus, the resulting value of y:

Alternatively, it can be expressed as:

⇒ y: arithmetic sequence

So there are infinite solutions for y

Learn more

trigonometric identities

Keywords: trigonometric, infinite values,arithmetic sequence

The range consists of all the valid y values, starting from 5.

The linear equation in slope-intercept format representing the population of Jose's town is y = 320x + 2400. The town's population in 1995 was recorded at 2400, increasing to 4000 by 2000. By establishing x as the number of years since 1995, we derive the linear equation from the change in population per year.