If the graph of the function h defined by
h(x)= -4x2-1
If translated vertically downward by 3 units, it becomes the graph of function f. Find the expression for f(x)
huh?
y = -4 x^2 - 1
just move down 3
y = -4x^2 - 4
To find the expression for the function f(x) that represents the graph of h(x) after being translated downward by 3 units, we need to adjust the equation by subtracting 3 from h(x).
The original equation for h(x) is:
h(x) = -4x^2 - 1
To translate it downward by 3 units, we subtract 3 from h(x):
f(x) = h(x) - 3
Substituting the equation for h(x), we have:
f(x) = -4x^2 - 1 - 3
Simplifying further, we get:
f(x) = -4x^2 - 4
Hence, the expression for f(x) is:
f(x) = -4x^2 - 4