Attributes and Transformations of Quadratic Functions

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

What form is the equation in?
y = 2x²-8x+7

• Standard

• Vertex

• Factored

• None of These

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

The graph of a quadratic function f is shown and the vertex is labeled with its coordinates.  If g(x) = f(x - 1) + 2, what is the minimum value of g?

* The minimum value of g is ​ (a)   because the minimum value of f is ​ (b)   and the graph of g is shifted ​ (c)   from the graph of f by ​ ​ (d)   .​

• 6

• 4

• up

• 2

• 1

• 3

• 5

• down

• left

• right

• up

• reflected

• x-axis

• shrunk

• translated

• y-axis

• down

• left

• right

Determine the transformation in each function as it relates to the parent function f(x) = x² . Match each graph to the correct description.

• 
• 
• 
• 

The graph of a transformed squaring function is shown below. Which equation and description best describes the graph? Select the equation ​ (a)   and description ​ (b)  

• neither even nor odd function

• even function

• odd function

Tags

CCSS.HSF.BF.B.3

• vertical stretch

• vertical shift up

• reflected across x-axis

• horizontal shift right

• vertical

  compression