Exploring Linear Transformations

What is the linear parent function?

• f(x) = 1/x

• f(x) = 2x

• f(x) = x^2

• f(x) = x

What type of transformation involves shifting the graph up or down?

• Reflection

• Vertical shift

• Dilation

• Horizontal shift

What happens when you add a number inside the function f(x)?

• Vertical stretch

• Horizontal shift

• Horizontal stretch

• Vertical shift

What does multiplying a number outside the function f(x) cause?

• Vertical stretch or compression

• Horizontal stretch or compression

• Horizontal shift

• Vertical shift

What type of reflection occurs when there is a negative sign outside the function?

• Horizontal reflection

• Vertical reflection

• No reflection

• Diagonal reflection

How does a negative sign inside the function affect the graph?

• No reflection

• Reflects over the origin

• Reflects over the y-axis

• Reflects over the x-axis

What is the effect of changing the value of 'a' or 'b' in a linear function?

• Changes the y-intercept

• Changes the x-intercept

• Changes the curvature

• Changes the slope

In the example G(x) = -f(x), what transformation occurs?

• Horizontal reflection

• Horizontal shift

• Vertical shift

• Vertical reflection

What does the value of 'b' between 0 and 1 cause in a function?

• Vertical stretch

• Horizontal stretch

• Vertical compression

• Horizontal compression

What is the effect of a horizontal stretch on the slope of a linear function?

• Inverts the slope

• Makes the slope less steep

• Makes the slope steeper

• No change in slope