Transformations of Parent Functions Quiz

What is the equation of the linear function after it has been translated 3 units to the right?

• y = nx + d, where n is the incline and d is the y-coordinate

• y = ax + b, where a is the coefficient and b is the constant

• y = mx + b, where m is the slope and b is the y-intercept

• y = mx + c, where m is the gradient and c is the x-intercept

If the linear function f(x) = 2x - 3 is translated 4 units up, what is the new equation?

• f(x) = 2x + 1

• f(x) = 2x + 4

• f(x) = 2x - 3 + 4

• f(x) = 2x - 7

When a linear function is translated 5 units to the left, what happens to the graph?

• The graph becomes steeper.

• The graph shifts 5 units to the right.

• The graph shifts 5 units to the left.

• The graph becomes a curve instead of a straight line.

If the linear function f(x) = 3x + 4 is translated 2 units down, what is the new equation?

• f(x) = 3x + 6

• f(x) = 3x + 4

• f(x) = 3x + 2

• f(x) = 3x - 2

What is the effect of translating a linear function 6 units to the right?

• The function will shift 6 units to the left.

• The function will shift 6 units to the right.

• The function will remain unchanged.

• The function will shift 6 units up.

If the linear function f(x) = 4x - 2 is translated 3 units to the left, what is the new equation?

• f(x) = 4(x - 2) - 2

• f(x) = 4(x + 2) - 2

• f(x) = 4(x - 3) - 2

• f(x) = 4(x + 3) - 2

When a linear function is translated 7 units down, how does it affect the graph?

• The graph shifts to the right by 7 units.

• The graph shifts upward by 7 units.

• The graph becomes steeper.

• The graph shifts downward by 7 units.

What is the equation of the linear function after it has been translated 8 units to the right?

• y = f(x-8)

• y = f(x-8) + 8

• y = f(x-8)

• y = f(x+8)

If the linear function f(x) = 5x + 1 is translated 9 units up, what is the new equation?

• f(x) = 5x + 8

• f(x) = 5x + 10

• f(x) = 5x + 9

• f(x) = 5x + 11

When a linear function is translated 10 units to the left, what happens to the graph?

• The graph shifts 10 units upward.

• The graph remains unchanged.

• The graph shifts 10 units to the left.

• The graph shifts 10 units to the right.