Question

Let f(x)=3x^2+2.

The equation g(x) is f(x) translated up 5 units.
What is the equation of g(x)?

Answer 1

g(x) = 3x² + 7

Step-by-step explanation:

If a function is translated 5 units up then:

g(x) = f(x) + 5

⇒ g(x) = 3x² + 2 + 5

⇒ g(x) = 3x² + 7

Answer 2

g(x) = 3x² + 7

Step-by-step explanation:

Here the f(x) is translated up 5 units, so we shall increase y axis by + 5

so new equation: g(x) = 3x² + 2 + 5 ➛ g(x) = 3x² + 7

• check the image given below. The red line is f(x) and blue line g(x)