Exploring Linear and Quadratic Transformations

What does a vertical stretch in a linear transformation do to a graph?

• Makes the graph narrower

• Makes the graph wider

• Shifts the graph upwards

• Makes the graph steeper

What is the effect of a horizontal compression on the steepness of a graph?

• Makes the graph wider

• No change in steepness

• Increases steepness

• Decreases steepness

What happens to a graph when it is reflected over the y-axis?

• It shifts to the left

• It flips over

• It becomes narrower

• It shifts to the right

How does a vertical shift up affect the x-intercept of a graph?

• Moves it upwards

• No change

• Moves it to the left

• Moves it to the right

What does the 'a' value in a quadratic equation primarily affect?

• Translation of the graph

• Horizontal shifts

• Vertical shifts

• Width and reflection of the graph

What indicates a rightward shift in a quadratic graph?

• x plus a number inside parentheses

• x minus a number inside parentheses

• A negative coefficient in front of x squared

• A positive coefficient in front of x squared

If a quadratic graph becomes narrower, what can be inferred about the 'a' value?

• It is less than one

• It is negative

• It is greater than one

• It is zero

What does a negative 'a' value indicate about a quadratic graph?

• The graph is compressed

• The graph is shifted down

• The graph is shifted up

• The graph is reflected

How does adding a number to 'k' in a quadratic equation affect the graph?

• Shifts it left

• Shifts it right

• Shifts it up

• Shifts it down

What transformation occurs when the quadratic graph shifts six units down?

• Narrowing of the graph

• Vertical shift down

• Widening of the graph

• Horizontal shift right