Transformation of Quadratics Using Function Notation

Describe the transformation from g(x) to d(x)

g(x) = (x+2)^2

d(x) = (x+2)^2 - 3

• Up 3

• Down 3

• Left 3

• Right 3

Describe the transformation from g(x) to d(x)

g(x) = (x^2 + 2)

d(x) = - (x^2 + 2)

• Flip over x - axis

• Flip over y - axis

• Down 1

• Left 1

Describe the transformation using coordinate notation.

g(x) = (x + 1)^2

n(x) = 2(x + 1)^2

• ( 2x , y )

• ( x , 2y )

• ( x , y )

• 2( x , y )

Describe the transformation from g(x) to d(x)

g(x) = x^2

d(x) = (x + 1)^2

• Up 1

• Down 1

• Left 1

• Right 1

a

b

c

d

Vertical Dilation

Vertical Translation

Horizontal Dilation

Horizontal Translation

The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?

(a)  

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2

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

Label how each number transforms the function

b

c

d

e

Left 3

Moves up 7

Stretched by a factor of 2

Reflected over the x-axis

Right 3

• compress

• stretch

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

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AI.9.6