Linear and Quadratic Transformations

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Which parent function matches the graph?

• y = |x|

• y = x

• y = x²

• y = 2^x

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

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

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

What are the transformations?
y = (x - 2)² + 4

• shift 2 units right
  shift 4 units up

• shift 2 units left
  shift 4 units up

• shift 2 units right
  shift 4 units down

• shift 2 units left
  shift 4 units up

a

b

c

d

e

left

up

right

down

reflected

Describe the transformations from

f(x) = x²

to

g(x) = -0.3x² + 4

• vertical compression and shift up

• reflection over x-axis, vertical compression, and shift up

• reflection over x-axis, vertical stretch, and shift up

• vertical stretch and shift down

"a" causes the parabola to vertically ​ (a)   when a < 1.

• compress

• stretch

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d