Exploring Horizontal Translations and Vertical Stretches in Quadratic Transformations

What does a horizontal translation inside the parentheses indicate?

• Vertical stretch

• No shift

• Shift to the left

• Shift to the right

If the function inside the parentheses is subtracted by a number, in which direction does the graph shift?

• Left

• Right

• Upwards

• Downwards

What is the vertex of the graph after a horizontal shift of +3 inside the parentheses?

• (3,0)

• (-3,0)

• (0,3)

• (0,0)

What effect does a coefficient greater than 1 have on a quadratic graph?

• No change

• Shifts it left

• Makes it narrower

• Makes it wider

What happens to the y-values when the graph is vertically stretched by a factor of 2?

• They remain the same

• They are halved

• They are tripled

• They are doubled

What is the vertex of a graph after a vertical stretch by a factor of 2?

• (2,0)

• (1,0)

• (0,1)

• (0,0)

How does a coefficient less than 1 affect the width of the quadratic graph?

• Makes it narrower

• No change

• Makes it wider

• Shifts it upwards

What is the vertex of the graph when the coefficient in front of x squared is 1/2?

• (0,1)

• (0,0)

• (1,0)

• (1/2,0)

If the coefficient of x squared is reduced to 1/4, what happens to the graph?

• It becomes wider

• It shifts to the left

• It shifts to the right

• It becomes narrower

What is the effect of a vertical compression on the y-values of the graph?

• They are tripled

• They are halved

• They are unchanged

• They are doubled