Question

The black graph is the graph of y=f(x). Choose the equation for the red graph. Please help me!!!

Answer 1

Answer:

B

Step-by-step explanation:

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

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

The black graph is shifted 5 units left, thus

f(x) → f(x + 5)

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

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

Note also that $\frac{y}{-1}$ = - y, thus

$\frac{y}{-1}$ = f(x + 5) → B

Answer 2

B is the answer. Hope it helped