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You are here: Home / ACT Practice Questions / ACT Math Practice Question: Shifting a parabola

ACT Math Practice Question: Shifting a parabola

February 29, 2016 Leave a Comment

 

Try this ACT math practice question on horizontal and vertical shifts of parabola and the resulting change in their equation:

In the $(x, y)$ coordinate plane, the graph of the parabola $y=-x^2$ is shifted 3 units up and 2 units to the left. Which of the following is an equation of the translated parabola?

  1. $\quad y=-(x-2)^2-3$
  2. $\quad y= -(x-2)^2 + 3$
  3. $\quad y=-(x+2)^2+3$
  4. $\quad y=-(x+2)^2-3$
  5. $\quad y=-(x+3)^2+2$

Choice C

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