Algebra 2 Transforming Parent Functions

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5

• Vertical stretch be a factor of 5

• Vertically shrink by a factor of 1/5

•  Horizontal stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

Which parent function matches the graph?

• y = |x|

• y = ∛(x)

• y = x²

• y = a⋅b^x

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred

k(x) = f(x) - 9

• vertical compression

• Down 9 units

• Left 9 units

• Right 9 Units

Tags

CCSS.HSF.BF.B.3

Describe the transformation from dotted to solid.

• g(x) = f(x + 4)

• g(x) = f(x - 4)

• g(x) = f(x) + 4

• g(x) = f(x) - 4

If the blue graph is f(x), the red must be...

• g(x) = f(x + 3)

• g(x) = f(x - 3)

• g(x) = f(x) + 3

• g(x) = f(x) - 2

What is the equation of the PARENT  function?

• f(x) = 2^x

• f(x) = x³

• f(x) = |x|

• f(x) = x