Question

Please help me out please

Answer 1

B

Explanation:

The red graph is a horizontal translation of 5 units left, followed by a reflection in the x- axis, of the black graph.

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here the graph is shifted 5 units to the left, thus

f(x) → f(x + 5)

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Note the y- coordinate of the image is the negative of the original

Note that
`(y)/(-1)` = - y, thus

The equation of the red graph is

`(y)/(-1)` = f(x + 5) → B