Question

Graph the function: g(x)=3x^2+1

Answer 1

Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, we have that the parent function is:

f(x) = x².

The shifted function is:

g(x) = 3x² + 1.

The transformations are given as follows:

• It was vertically compressed by a factor of 3, due to the multiplication by 3.

• It was shifted up 1 unit, due to the addition of 1.

In the graph at the end of the answer, both functions are shown, with f(x) in red and g(x) in blue.

More can be learned about translation concepts at brainly.com/question/28393734

#SPJ1