Question

1. how do you perform translation on a graph?

a. rotate coordinates
b. multiply coordinates
c. add or subtract from coordinates
d. divide coordinates

1. which transformation will not change the size of a figure?

a. dilation
b. translation
c. compression
d. scaling

1. what changes occur to the coordinates of a point when it is reflected over the y-axis?

a. the point moves vertically
b. the y-coordinate changes sign
c. the x-coordinate changes sign

1. what happens to a point (x, y) if it is reflected across the y-axis and then translated 4 units down?

a. (-x, y-4)
b. (x, y+4)
c. (x, y-4)
d. (x+4, y-4)

1. a triangle is first translated 4 units right and 3 units up, then rotated 180 degrees around the origin. what type of transformation sequence is this?

a. rotation then reflection
b. translation then rotation
c. reflection then translation

Explanation:

Question 6

Translation of a graph involves shifting it horizontally or vertically. To shift a point \((x, y)\) horizontally, we add or subtract from the \(x\)-coordinate, and for vertical shift, we add or subtract from the \(y\)-coordinate. Rotating, multiplying, or dividing coordinates are for other transformations (like rotation, dilation, etc.), not translation.

• Dilation changes the size (scales the figure).
• Compression also changes the size (reduces dimensions).
• Scaling (similar to dilation) changes size.
• Translation only shifts the figure's position, not its size.

When reflecting a point \((x, y)\) over the \(y\)-axis, the \(x\)-coordinate's sign flips (e.g., \((2, 3)\) becomes \((-2, 3)\)), while the \(y\)-coordinate remains the same. Moving vertically is not specific to \(y\)-axis reflection, and the \(y\)-coordinate doesn't change sign here.

Answer:

c. Add or subtract from coordinates

Question 7