Transformations in Coordinate Geometry

Mrs. A introduces transformations of functions, starting with the parent function, the positive root of x. She explains vertical transformations, including vertical reflection and stretch, and horizontal transformations, including horizontal reflection and translation. The video also covers using the mapping formula to apply transformations to coordinates. Finally, Mrs. A demonstrates applying these transformations to specific points on a graph, resulting in a new transformed function.

What is the parent function discussed in the video?

• sqrt(x)

• x^3

• x^2

• 1/x

What does a negative 'a' value indicate in transformations?

• Horizontal stretch

• Vertical translation

• Vertical reflection

• Horizontal reflection

How does a vertical stretch affect the graph?

• It translates the graph vertically.

• It reflects the graph horizontally.

• It stretches the graph vertically.

• It compresses the graph horizontally.

What is the effect of a positive 'c' value in transformations?

• Vertical reflection

• Horizontal stretch

• Horizontal translation left

• Vertical translation up

What does a negative 'k' value indicate?

• Horizontal reflection

• Vertical stretch

• Vertical translation

• Horizontal translation

How does a positive 'd' value affect the graph?

• Reflects the graph vertically

• Reflects the graph horizontally

• Moves the graph right

• Moves the graph left

What is the first step in using the mapping formula?

• Subtract the c value from y

• Multiply x by the k value

• Divide x by the k value

• Add the d value to y

In the mapping formula, how is the new y-coordinate calculated?

• Add the a value to y and multiply by the c value

• Multiply y by the a value and add the c value

• Divide y by the a value and subtract the c value

• Multiply y by the k value and add the d value

What happens to the point (0,0) after a vertical reflection?

• It moves to (0,1)

• It stays at (0,0)

• It moves to (1,0)

• It moves to (-1,0)

After applying a horizontal reflection, where does the x-value of 1 move?

• To 2

• To -1

• To 0

• To 1