Parent Functions & Transformations

Given the function  $y=\left(x+4\right)^2+2$ , how does this function transform?

• Shifts left 4 units, up 2 units

• Shifts right 4 units, up 2 units

• Shifts left 4 units, down 2 units

• Shifts right 4 units, down 2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Tags

CCSS.HSA.REI.D.10

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

What type of function is shown?

• absolute value
• quadratic
• linear
• exponential

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

Name the parent function. 

• constant
• square root
• linear
• absolute value

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

What is the domain of this graph?

• $x\ge0$ ( $\left[0,\ \infty\right)$ )

• $x<0$

• All real numbers ( $\left(-\infty,\ \infty\right)$ )
  

• None of the above

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

If the blue function is f(x)=x², then the red function must be..? (Click on image to zoom)

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.11

What is the RANGE?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• [-∞,∞]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5