Exploring Quadratic Transformations in Algebra

What is the shape of the quadratic parent function?

• A parabola opening downwards

• A straight line

• A parabola opening upwards

• A circle

What does a vertical compression of the graph indicate?

• The graph shifts to the left

• The graph shifts to the right

• The graph becomes narrower

• The graph becomes wider

What happens to the graph when 'a' is negative?

• It shifts to the right

• It shifts upwards

• It reflects over the y-axis

• It reflects over the x-axis

What transformation occurs when 'a' is greater than 1?

• Vertical compression

• Horizontal stretch

• Reflection over the x-axis

• Vertical stretch

How does the graph move when 'H' is positive?

• Downwards

• Upwards

• To the right

• To the left

If 'H' is negative, in which direction does the graph shift?

• Right

• Left

• Up

• Down

What does a positive 'K' value do to the graph?

• Shifts it upwards

• Shifts it to the right

• Shifts it to the left

• Shifts it downwards

What is the effect of a negative 'K' value on the graph?

• Moves it up

• Moves it down

• Moves it left

• Moves it right

In the example, what does an 'a' value of 3 indicate?

• Horizontal compression

• Vertical stretch

• Reflection over the y-axis

• Vertical compression

What transformation does a negative 'a' value combined with a positive 'H' and negative 'K' value produce?

• Narrower graph, shifts right and up

• Wider graph, shifts right and down

• Wider graph, shifts left and down

• Narrower graph, shifts left and up