Answer:
B
Step-by-step 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
[tex]\frac{y}{-1}[/tex] = - 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
[tex]\frac{y}{-1}[/tex] = f(x + 5) → B
Answer:
B. y/-1 = f(x + 5).
Step-by-step 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).
