Basic Transformations

What is the parent graph of the function 
y= 7(x - 5)² + 4?

• Quadratic
• Absolute Value
• Linear
• Gallifreyan

What is the parent function of this equation?
f(x) = -7 |x - 10| - 6

• y = x
• y = |x|
• y = x³
• y = log x

What is the parent graph for the function:
k(x) = √ (x - 10) ?

• Linear
• Absolute Value
• Square Root
• Exponential

What transformations were made from the parent graph to create the function
f(x) =  - √(x-5) ?

• Reflected over x-axis, right 5
• Reflected over y-axis, left 5
• Reflected over x-axis, down 5
• Reflected over x-axis, left 5

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

• horizontal shift right 5 units
• horizontal shift left 5 units
• vertical shift up 5 units
• vertical shift down 5 units

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

• f(x)= -x²-17
• f(x)= -(x-17)²
• f(x)= -(x+17)²
• f(x)= -x²+17

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

Tags

CCSS.HSG.CO.A.2

Describe the transformation

• left 2 up 5
• right 2 up 5
• left 2 down 5
• right 2 down 5

Tags

CCSS.HSF.BF.B.3

What is the equation to this graph?

• f(x)= Ix+2I +1
• f(x)= Ix-2I +1
• f(x)= Ix+2I -1
• f(x)= Ix-2I -1

Tags

CCSS.HSF-IF.C.7D