Exploring Linear Transformations in Algebra

What is the basic parent function for a linear equation?

• f(x) = x^2

• f(x) = x

• f(x) = 2x

• f(x) = 1/x

What is the slope of the parent function f(x) = x?

• 1

• 0

• 2

• -1

What is the y-intercept of the parent function f(x) = x?

• 1

• 0

• -1

• 2

If a transformation is applied as f(x) + 2, what type of transformation is it?

• Vertical shift down

• Vertical shift up

• Horizontal shift right

• Horizontal shift left

What happens to the graph of f(x) when it is transformed to f(x - 3)?

• Shifts 3 units up

• Shifts 3 units down

• Shifts 3 units to the left

• Shifts 3 units to the right

What is the result of reflecting the function f(x) = x across the x-axis?

• f(x) = x^2

• f(x) = -x

• f(x) = x

• f(x) = 1/x

What is the result of reflecting the function f(x) = x across the y-axis?

• f(x) = x

• f(x) = -f(-x)

• f(x) = 1/x

• f(x) = -x

How do you represent a reflection of f(x) across the x-axis in an equation?

• f(x)

• -f(-x)

• -f(x)

• f(-x)

What is the new equation after reflecting f(x) = 1/2x + 1 across the x-axis?

• 1/2x - 1

• -1/2x + 1

• -1/2x - 1

• 1/2x + 1

What is the new equation after reflecting f(x) = 1/2x + 1 across the y-axis?

• 1/2(-x) + 1

• -1/2x - 1

• -1/2x + 1

• 1/2x - 1