Exploring Horizontal Translations of Linear Equations

What is the basic linear function discussed in the lesson?

• F(x) = x

• F(x) = 3x - 1

• F(x) = 2x + 3

• F(x) = x^2

How does a vertical translation affect the graph of a function?

• It rotates the graph.

• It changes the Y coordinates.

• It reflects the graph over the X-axis.

• It changes the X coordinates.

What is the Y intercept of the function G(x) in the example?

• -6

• 0

• 2

• 4

What does the expression 'X - 3' indicate in terms of horizontal translation?

• Shift 3 units up

• Shift 3 units down

• Shift 3 units to the left

• Shift 3 units to the right

How can you determine the direction of a horizontal shift from the algebraic form?

• By making the inside of the parentheses equal to zero

• By checking the Y intercept

• By finding the greatest common factor

• By looking at the slope

In the example, what is the horizontal translation from F(x) to G(x)?

• 1 unit to the left

• 1 unit to the right

• 3 units to the left

• 3 units to the right

What does a positive sign inside the parentheses indicate in terms of graph shift?

• Shift downwards

• Shift upwards

• Shift to the right

• Shift to the left