Question

What is the equation of the translated function, f(x)=x^2 , with a translation of 90 units up?

a. g(x)=(x−4)+6
b. g(x)=(x+6)×4
c. g(x)=(x+674)
d. g(x)=(x+4y+6)

Answer 1

The equation of the translated function, f(x)=x^2, with a translation of 90 units up is g(x)=x^2+90.

Step-by-step explanation:

The equation of the translated function, f(x)=x^2, with a translation of 90 units up is g(x)=x^2+90.

To translate the function 90 units up, we add 90 to the original function. This is because each y-value of the original function is increased by 90 units to get the corresponding y-value of the translated function.

For example, if the original function has a point (x, y), the corresponding point on the translated function will have the same x-coordinate but a y-coordinate increased by 90 units.