Functions Review 1

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis
• 3 units right, 2 units up, reflected across the x-axis
• 3 units left, 2 units up, reflected across the y-axis
• 3 units left, 2 units up, reflected across the x-axis

Which of the following is the equation of the cubic function graphed above

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1
• reflect over x, horizontal compression by 2, left 5, up 1
• reflect over x, vertical stretch by 2, right 5, up 1
• reflect over y, horizontal stretch by -2, right 5, up 1

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Which of the facts is not true about the graph shown?

• The range is y ∈ ℝ
• The function has been shifted 6 units right.
• The function has been shifted up 1 unit
• The function has been vertically stretched by a factor of 2. 

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)
• 1/4 ∛(x - 9)
• - 1/4 ∛(x + 9)
• - 1/4 ∛(x - 9)

Who is Spongebobs Best friend? (BEST friend)

• Pearl

• Patrick

• Squidward

• Sandy

What is the Domain of ALL Cube Root Functions in interval notation?

• (−∞,∞)
• −∞<x<∞
• (−∞,0]
• All Cube Root Functions are different.

• It controls the vertical translation by shifting the graph up or down.

• It controls the horizontal translation by shifting the graph left or right.

• It is the x-coordinate of the vertex.

• The opposite of k is the x-coordinate of the vertex.

• It is the y-coordinate of the vertex.

• It controls the vertical translation by shifting the graph up or down.

• It controls the horizontal translation by shifting the graph left or right.

• It is the x-coordinate of the vertex.

• The opposite of h is the x-coordinate of the vertex.

• It is the y-coordinate of the vertex.