College of Admission Tests Multan

Graphing Functions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 7

f ( x ) = x 2 + 6

Which function represents f ( x ) being shifted to the left 4 units?

  • g ( x ) = ( x + 4 ) 2 6
  • g ( x ) = x 2 + 10
  • g ( x ) = ( x 4 ) 2 + 6
  • g ( x ) = ( x + 4 ) 2 + 6
  • g ( x ) = x 2 + 2

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Correct Answer: D

The parent function for a parabolic function is f ( x ) = a ( x h ) 2 + k where ( h , k ) is the center of the parabola. To shift the parabola left of right, the value of h changes. Since there is a negative sign in the parent function, a positive value moves the parabola to the left and a negative value moves it to the right.