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: 10

Which would be the equation of y = 2 ( x + 1 ) 2 4 when reflected over the y-axis?
  • y = 2 ( x + 1 ) 2 + 4
  • y = 2 ( x 1 ) 2 4
  • y = 2 ( x 1 ) 2 + 4
  • y = 2 ( x + 1 ) 2 + 4
  • y = 2 ( x + 1 ) 2 4

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Correct Answer: B

To flip this over the y-axis, the sign of x changes.

This entails changing ( x + 1 ) 2 to ( x + 1 ) 2

( x + 1 ) 2 = ( ( x + 1 ) ) 2 = ( x 1 ) 2

Perhaps a simpler way to think about this is that the vertex for this parabola is at (−1,4).

If we flip the equation over the y-axis, it will place the vertex at (1,4), making our new equation y = 2 ( x 1 ) 2 + 4