Transformations of Function Graphs Quiz

What is the term used for the original graph before any transformations are applied?

• Base graph

• Root graph

• Initial graph

• Parent graph

If a graph is moved up by 4 units, which of the following transformations is applied?

• f(x) + 4

• f(x) - 4

• f(x + 4)

• f(x - 4)

How does the graph of f(x) change when it is transformed to f(x - 2)?

• Moves 2 units down

• Moves 2 units up

• Moves 2 units to the left

• Moves 2 units to the right

What is the effect of multiplying a function by a factor greater than 1?

• Vertical compression

• Horizontal stretch

• Vertical stretch

• Horizontal compression

When a function is multiplied by 1/2, what transformation occurs?

• Horizontal stretch

• Horizontal compression

• Vertical stretch

• Vertical compression

What happens to a graph when the x-values are multiplied by a factor greater than 1?

• It stretches horizontally

• It compresses horizontally

• It stretches vertically

• It compresses vertically

If a graph is reflected over the y-axis, what is the sign of the factor applied to x?

• Fraction

• Zero

• Negative

• Positive

Which parameter affects the vertical translation of a graph?

• a

• h

• b

• k

What is the effect of a negative 'a' value in the transformation equation?

• Reflects over the x-axis

• Reflects over the y-axis

• Stretches vertically

• Compresses horizontally

In the transformation equation, what does the parameter 'h' control?

• Horizontal translation

• Horizontal stretch

• Vertical stretch

• Vertical translation