Question

Please help me with this problem....... :)

Answer 1

B. y/-1 = f(x + 5).

Explanation:

The transformation of the black to red graph is a translation of 5 units to the left followed by a reflection in the x axis.

Translation to the left gives f(x + 5) and reflection gives - f(x + 5).

y = -f(x + 5)

y/-1 = f(x + 5).

Answer 2

B

Explanation:

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

Under a reflection in the x- axis

a point (x, y) → (x, - y )

Note the y- coordinates are the negative of each other and

`(y)/(-1)` = - y

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

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

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

Here the shift is to the left, thus

f(x) → f(x + 5) and

The equation of the red graph is

`(y)/(-1)` = f(x + 5) → B