Function Transformations (Ab Val/Quad/Cubic)

What is the equation for the red function?

• g(x) = x³ + 1

• g(x) = x³ - 1

• g(x) = (x - 1)³

• g(x) = (x + 1)³

Tags

CCSS.HSF.BF.B.3

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Tags

CCSS.HSA.REI.D.10

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which of the following is the graph of  $y=-\left(x-4\right)^3+2$  

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Tags

CCSS.HSF.BF.B.3

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

• $y=-\left(x-1\right)^3+4$

• $y=\left(x-1\right)^3+4$

• $y=-\left(x+1\right)^3+4$

• $y=\left(x+1\right)^3+4$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

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

• $y=\left(x+4\right)^3+3$

• $y=\left(x+4\right)^3-3$

• $y=\left(x-4\right)^3+3$

• $y=\left(x-4\right)^3-3$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7