Question

Given the function g(x) = (x + 3)^2. Martin says the graph should be translated right 3 units from the parent graph f(x) = x^2. Explain his error.

Answer 1

Answer:

Martin is wrong because in the Graph we can clearly see that the graph will be translated left 3 unit from the parent graph. The vertex point will be (-3,0)

Step-by-step explanation:

Answer 2

Answer: Martin used (x + h)² instead of (x - h)²

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

• "a" is the vertical stretch
• -a is a reflection over the x-axis
• h is the horizontal shift (positive = right, negative = left)
• k is the vertical shift (positive = up, negative = down)

f(x) = x²

g(x) = (x + 3)²

                ↓      

              h= -3

           Shifted LEFT 3 units