Understanding Quadratic Transformations

What is the vertex of the parent function of a quadratic equation?

• (2,2)

• (0,0)

• (1,1)

• (3,3)

How does the variable 'a' affect the graph of a quadratic function?

• It shifts the graph left or right

• It causes vertical stretches or compressions

• It reflects the graph over the y-axis

• It shifts the graph up or down

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

• It shifts down

• It shifts up

• It reflects over the y-axis

• It reflects over the x-axis

What effect does the variable 'b' have on the graph?

• Vertical stretch

• Horizontal stretch

• Shifts up

• Vertical compression

If 'b' is negative, what transformation occurs?

• Shifts right

• Shifts left

• Reflects over the y-axis

• Reflects over the x-axis

How does the variable 'h' affect the graph?

• Shifts the graph left or right

• Shifts the graph up or down

• Causes vertical stretch

• Causes horizontal compression

What does a positive 'h' value indicate in terms of graph movement?

• Shift down

• Shift up

• Shift right

• Shift left

What role does the variable 'k' play in graph transformations?

• Shifts the graph left or right

• Causes horizontal stretch

• Shifts the graph up or down

• Causes vertical stretch

If 'k' is positive, in which direction does the graph move?

• Up

• Down

• Right

• Left

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

• Shift left

• Shift up

• Shift right

• Shift down