Understanding Function Translations

The video tutorial explains how to determine a new point on a transformed function graph. Starting with a given point on the function F(X), the tutorial explores how to find a corresponding point on the graph of Y = F(X-2) - 3. It covers the concept of function translations, explaining how shifts in the graph occur due to changes in the function's equation. The tutorial demonstrates the process of applying these translations to find the new point and verifies the solution using an alternative method.

What is the given point on the graph of F(x)?

• (0,0)

• (3,-1)

• (2,1)

• (1,2)

What happens to the graph of F(x) when you add a positive constant to the function?

• It shifts up

• It shifts down

• It shifts left

• It shifts right

If you subtract a constant from the function F(x), what is the effect on the graph?

• Shifts up

• Shifts right

• Shifts down

• Shifts left

How does adding a constant to the input of F(x) affect the graph?

• Shifts left

• Shifts down

• Shifts up

• Shifts right

What is the effect of subtracting a constant from the input of F(x)?

• Shifts up

• Shifts right

• Shifts left

• Shifts down

What is the new x-coordinate of the point after applying the transformation F(x-2)?

• 2

• 4

• 1

• 3

After applying the transformation F(x-2)-3, what is the new y-coordinate of the point?

• -1

• 0

• 2

• 1

What is the new point on the graph of Y = F(x-2) - 3?

• (3,-1)

• (0,0)

• (1,2)

• (2,1)

In the verification method, what input value is used to ensure the output is +2?

• 1

• 2

• 3

• 4

What is the final y-coordinate after verifying the transformation using F(1) = 2?

• 0

• 1

• 2

• -1