Transformations of Parent Functions

What are the three main types of transformations discussed in the lesson?

• Reflections, Rotations, Translations

• Dilations, Reflections, Rotations

• Translations, Reflections, Stretches/Compressions

• Translations, Rotations, Dilations

Which of the following is a parent function?

• y = log(x)

• y = x^3

• y = x^2

• y = sin(x)

If a function is translated 6 units down, what is the new equation?

• f(x - 6)

• f(x) - 6

• f(x) + 6

• f(x + 6)

What happens to the graph of a function when it is translated 2 units to the right?

• It moves 2 units up

• It moves 2 units down

• It moves 2 units to the left

• It moves 2 units to the right

How is a function affected by a vertical reflection?

• It is reflected over the y-axis

• It is shifted down

• It is shifted up

• It is reflected over the x-axis

What is the equation of a function that has been reflected along the x-axis?

• f(x) + c

• f(x - d)

• f(-x)

• -f(x)

What does a vertical stretch by a factor of 2 do to a function?

• Makes it wider

• Makes it narrower

• Shifts it down

• Shifts it up

If a function is vertically compressed by a factor of 1/2, what is the new equation?

• 2f(x)

• 1/2 f(x)

• f(2x)

• f(x/2)

What is the equation of a function that has been translated 3 units to the right, 3 units down, reflected along the x-axis, and vertically stretched by a factor of 4?

• 4f(x - 3) + 3

• -4f(x - 3) - 3

• -4f(x - 3) + 3

• -4f(x + 3) - 3

How would you describe the transformation of the function y = -2/3 f(x + 5) - 7?

• Reflected along the x-axis, vertically stretched by 2/3, translated 5 units right and 7 units down

• Reflected along the y-axis, vertically compressed by 2/3, translated 5 units left and 7 units up

• Reflected along the x-axis, vertically compressed by 2/3, translated 5 units left and 7 units down

• Reflected along the y-axis, vertically stretched by 2/3, translated 5 units right and 7 units up