Transformations of Functions Quiz (vertical and horizontal shift

Question 1: What is the effect of adding a constant to the function f(x) = x^2?

• The graph shifts vertically downwards by the value of the constant.

• The graph shifts vertically upwards by the value of the constant.

• The graph becomes steeper.

• The graph shifts horizontally by the value of the constant.

Question 2: How does the function g(x) = -x^2 differ from the original function f(x) = x^2?

• It is shifted down 1

• It is shifted up 1

• It is reflected across the y-axis

• It is reflected across the x-axis

Question 3: Describe the horizontal transformation in the function h(x) = (x-3)^2.

• Down 3 units

• Right 3 units

• Up 3 units

• Left 3 units

Question 4: What is the vertical shift in the function k(x) = x^2 + 5?

• 10

• 2

• 3x^2

• 5

Question 5: If the function p(x) = (x+2)^2, what is the horizontal shift?

• 1

• 2

• 0

• -2

Question 6: How does the function q(x) = x^2 - 4 differ from the original function f(x) = x^2?

• Shifted upward by 4 units

• Multiplied by 4

• Divided by 4

• Shifted downward by 4 units

Question 7: Explain the effect of multiplying a function by a negative, such as y = -f(x).

• Translate the graph of the function vertically

• Reflect the graph of the function over the x-axis

• Reflect the graph of the function over the y-axis

• Nothing changes

Tags

CCSS.HSF.BF.B.3

What happens to the graph of f(x) when you do f(-x)?

• Reflect across the x-axis

• Reflect across the y-axis

• Shift up 1

• Shift down 1

Tags

CCSS.HSF.BF.B.3

Question 8: What is the translation in the function y = (-x+3)^2?

• Shift left 3 and reflect across the y-axis

• Shift right 3 and reflect across the y-axis

• Shift left 3 and reflect across the x-axis

• Shift right 3 and reflect across the x-axis

Question 9: If the function r(x) = (x-1)^2, what is the horizontal shift?

• 1 unit to the left

• 2 units to the right

• No horizontal shift

• 1 unit to the right