Question

(c)

h(x) = f(x + c)

a horizontal shift of f, c units to the right
a vertical shift of f, c units down
a horizontal shift of f, c units to the left
a vertical shift of f, c units up

Answer 1

It will be a horizontal shift of f, c units to the left.

Explanation:

When we add a constant 'c' to an input of the function f(x), then there is a horizontal horizontal shift of f, c units to the left.

In other words,

• if c > 0, the graph translates to the left c units.
• if c < 0, the graph translates to the right c units.

Or

set x + c = 0

x = -c ( move left c units )

Therefore, it will be a horizontal shift of f, c units to the left.