meredith48034
contestada

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.

Respuesta :

tramserran

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

Martin is not correct. The graph should be translated left 3 units from parent graph.

Given :

The function [tex]g(x)=(x+3)^2[/tex]

Martin says the graph should be translated right 3 units from the parent graph

we know that ,

[tex]f(x)-> f(x-a)[/tex] , the graph will be translated 'a' units right

[tex]f(x)-> f(x+a)[/tex], the graph will be translated 'a' units left

From the given function g(x), 3 is added with x.

so, the graph of g(x) is translated 3 units left.

Martin is not correct. The graph should be translated left 3 units from parent graph.

Learn more : brainly.com/question/3601213

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