Write the quadratic function given different transformations

The video tutorial covers transformations of the function X squared, focusing on reflection about the X axis and horizontal compression. It emphasizes the importance of using parentheses in equations to avoid common mistakes. The tutorial explains the components of equations, such as A, B, C, and D, and highlights common errors in interpreting transformations. The session concludes with final remarks and a transition to the next topic.

What is the effect of reflecting a quadratic function about the X-axis?

• It shifts the graph upwards.

• It flips the graph over the X-axis.

• It compresses the graph horizontally.

• It stretches the graph vertically.

Why is it important to use parentheses when dealing with transformations?

• To make the equation look more complex.

• To avoid shifting the graph vertically.

• To prevent horizontal stretching.

• To ensure the correct order of operations.

When writing the equation of a function with a horizontal compression, what must be done with the B value?

• It should be factored out.

• It should be ignored.

• It should be multiplied by the Y value.

• It should be added to the X value.

How should a leftward shift of 2 units be represented in the equation of a function?

• By dividing the X value by 2.

• By adding 2 to the X value.

• By subtracting 2 from the X value.

• By multiplying the X value by 2.

What is a common mistake when interpreting multiple-choice questions about transformations?

• Ignoring the need to factor out B.

• Believing that all shifts are to the right.

• Assuming all transformations are vertical.

• Thinking that reflections are always about the Y-axis.