Question

The function g is defined as follows.

g(x)=3x² +5
If the graph of g is translated vertically downward by 6 units, it becomes the graph of a function f.
Find the expression for f(x).

Answer 1

the new expression is: f(x) = 3x^2 - 1

The traditional formula for a line is y=mx+b where b represents the y intercept of the graph.

The y intercept is the value that causes the graph to shift vertically either upwards or downwards.

Thus, if the graph is being translated 6 units downward from the y intercept of 5, the new y intercept would be -1 (5-6)

Therefore, the new expression would be:
f(x) = 3x^2 - 1

Answer 2

Answer: graph the function defined by the formula g(x) = f(x)+2. To graph y = f(x) - k, shift the graph of y = f(x) down k units by subtracting k from.

Explanation: