Exploring Graphing Transformations of Parent Functions

What is the parent function of y = (x - 5)^2 + 1?

• y = x^2 + 1

• y = x - 5

• y = x^2

• y = (x - 5)^2

In the transformation y = (x - 5)^2 + 1, what does the '-5' inside the parentheses indicate?

• Shift down by 5 units

• Shift left by 5 units

• Shift right by 5 units

• Shift up by 5 units

What is the effect of the '+1' in the transformation y = (x - 5)^2 + 1?

• Shift left by 1 unit

• Shift right by 1 unit

• Shift up by 1 unit

• Shift down by 1 unit

What is the parent function of y = -2x^2?

• y = -2x

• y = 2x^2

• y = -x^2

• y = x^2

In the transformation y = -2x^2, what does the '-2' indicate?

• Horizontal stretch and reflection over the y-axis

• Vertical compression and reflection over the x-axis

• Horizontal compression and reflection over the y-axis

• Vertical stretch and reflection over the x-axis

What is the parent function of y = -|1/4x|?

• y = |x|

• y = -|x|

• y = 1/4x

• y = -1/4x

In the transformation y = -|1/4x|, what does the '1/4' indicate?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression

What is the parent function of y = -1/3√(-x)?

• y = √x

• y = -√x

• y = 1/3√x

• y = -1/3√x

In the transformation y = -1/3√(-x), what does the '-x' inside the square root indicate?

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical compression

• Vertical stretch

In the transformation y = -1/3√(-x), what does the '-1/3' outside the square root indicate?

• Horizontal compression

• Horizontal stretch

• Vertical stretch

• Vertical compression