Day 2 A1 STAAR Review: Transformations

What does the transformation "y = af(x - h) + k" represent when |a| > 1?

• Vertical compression

• Horizontal stretch

• Vertical stretch

• Horizontal compression

What happens to the graph of a function if the transformation applied is a reflection across the X-axis?

• It is translated to the left.

• It is translated to the right.

• It is flipped over the X-axis.

• It is flipped over the Y-axis.

If a function is transformed with a vertical compression, what is the value range of |a|?

• |a| > 1

• |a| < 0

• |a| = 0

• 0 < |a| < 1

What is the effect of adding "k" to the function "f(x)" in the transformation "y = f(x) + k"?

• The graph is shifted to the left.

• The graph is shifted to the right.

• The graph is shifted up.

• The graph is shifted down.

What does the transformation "y = f(x - h)" cause the graph of a function to do?

• Stretch vertically

• Compress vertically

• Shift to the left

• Shift to the right

Which transformation is associated with making the graph "wider/less steep"?

• Vertical stretch

• Vertical compression

• Horizontal shift to the left

• Horizontal shift to the right

What is the axis of symmetry in the function "y = a(x - h)^2 + k"?

• x = h

• y = k

• x = -h

• y = -k

According to the transformation rules provided, what happens to the horizontal asymptote of an exponential function when the graph is shifted up or down?

• It remains unchanged.

• It moves with the graph.

• It becomes steeper.

• It becomes less steep.

Which answer choice describes how the graph of f(x) = x² was transformed to create the graph of n(x) = x² - 1?

• A) A vertical shift up

• B) A horizontal shift to the left

• C) A vertical shift down

• D) A horizontal shift to the right

If the graph of y = 9x + 4 is translated 4 units up, which equation describes the new graph?

• F) y = 9x + 8

• G) y = 13x + 4

• H) y = 13x + 8

• J) y = 4x + 4