Understanding Transformations with RTI Inspire

What is the original function used in the video tutorial?

• x squared minus 4

• Negative x squared plus 4

• Negative x squared minus 4

• x squared plus 4

What transformation is achieved by applying negative f(x) to the original function?

• Reflection over the y-axis

• Reflection over the x-axis

• Horizontal shift

• Vertical stretch

What is the result of applying the transformation f(-x) to the original function?

• Reflection over the x-axis

• Vertical compression

• Horizontal stretch

• Reflection over the y-axis

What happens to the graph of the function when it is transformed by 1/2 f(x)?

• It reflects over the x-axis

• It undergoes vertical compression

• It shifts to the right

• It becomes narrower

What is the effect of applying the transformation 2 f(x) to the original function?

• Horizontal shift

• Vertical stretch

• Horizontal compression

• Reflection over the y-axis

In the problem-solving section, what is the original function before transformation?

• 3x squared minus 3

• 3x squared plus 3

• 3x squared

• 3x squared plus 9

What transformation is applied to the function f(x) = 3x^2 in the problem-solving section?

• f(x) + 3

• f(x) - 3

• f(-x)

• f(x - 3)

How is the correct transformed equation identified in the problem-solving section?

• By using a formula

• By guessing

• By graphing and comparing

• By calculating manually

What is the result of the transformation f(x - 3) on the graph of the function?

• The graph shifts up by 3 units

• The graph shifts right by 3 units

• The graph shifts down by 3 units

• The graph shifts left by 3 units

Which of the following equations correctly represents the transformed function f(x - 3)?

• 3x^2 + 9x - 9

• 3x^2 - 9x + 9

• 3x^2 - 18x - 27

• 3x^2 - 18x + 27