Maths
Grade-10
Easy

Question

Which of the following function is horizontal translation of  f left parenthesis x right parenthesis equals square root of x

  1. square root of x space plus space 7 end root
  2. square root of x minus space 7
  3. square root of x space plus space 7
  4. square root of x space minus space 7 end root

hintHint:

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis.

The correct answer is: square root of x space minus space 7 end root


    Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis. which is x is replaced by x-k where k is the units shifted.
    Therefore, The function square root of x space minus space 7 end root is the horizontal translation of f(x) = square root of x .

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