Question

Someone explain this to me

Answer 1

Answer: a) y = f(x - 6)

              b) y = f(x) - 2

Step-by-step explanation:

For transformations we use the following formula: y = a f(x - h) + k

• a = vertical stretch
• h = horizontal shift (positive = right, negative = left)
• k = vertical stretch (positive = up, negative = down)

a) f(x) has a vertex at (-1, 1)

    M has a vertex at (5, 1)

    The vertex shifted 6 units to the right  → h = +6

Input h = +6 into the equation and disregard "a" and "k" since those didn't change.     ⇒ y = f(x - 6)

b) f(x) has a vertex at (-1, 1)

    N has a vertex at (-1, -1)

    The vertex shifted down 2 units  → k = -2

Input k = -2 into the equation and disregard "a" and "h" since those didn't change.     ⇒ y = f(x) - 2