Question

The function g is defined as follows. g(x) = -5x² - 6If the graph of G is translated vertically upward by 7 units, it becomes the graph of a function f. Find the expression for f(x)

Answer 1

f(x) =-5x² +1

1)When it comes to transformation. We must compare the function with the parent one. In this case, a quadratic one.

2) Let's take a look at g(x) =-5x²-6

In this question, we must treat g(x) as the reference. So,

Since this is a translation, then we must write f(x) as a function of g(x) translated upward by 7 units.

g(x) =-5x²-6

f(x) =-5x² +1