Quadratic Attributes

Which of the following equations represents this graph?

• f ( x ) = x² - x - 4

• f ( x ) = x² + x - 4

• f ( x ) = x² - x + 4

• f ( x ) = x² + x + 4

 $f(x)=\frac{1}{3}x^2-2x+4$ 

 Which of the following represents the equation above?

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• 
• 
• 

 $f\left(x\right)=-x^2+5$  
What is the domain of the function above?

• All Real Numbers

•  $y\le5$  

•  $x\le5$  

•  $x\ge5$  

 $f\left(x\right)=-x^2+5$  
What is the range of the function above?

• All Real Numbers

•  $y\le5$  

•  $x\le5$  

•  $x\ge5$  

 $f\left(x\right)=-\frac{1}{2}x^2-2x+4$  
What is the vertex of the function above?

• ( -2, 6 )

• ( 2, 6 )

• ( -2, - 6 )

• (2, -6 )

How does the function g (x)= -5x² + 3 compare to f (x) = x² ?

• The graph of g(x) is a reflection, vertically stretched and moved up 3 units from the graph of f(x).

• The graph of g(x) is a reflection, vertically stretched and moved down 3 units from the graph of f(x).

• The graph of g(x) is a reflection, horizontally stretched and moved up 3 units from the graph of f(x).

• The graph of g(x) is a reflection, horizontally stretched and moved down 3 units from the graph of f(x).

What is the effect on the graph of f (x) = x² when it is changed to g (x) = f (x + 3) - 2 ?

• The graph of g(x) is 3 units left and 2 units down from the graph of f(x).

• The graph of g(x) is 2 units left and 3 units down from the graph of f(x).

• The graph of g(x) is 3 units left and 3 units down from the graph of f(x).

• The graph of g(x) is 6 units left and 4 units down from the graph of f(x).

Which quadratic function does the table model?

• g ( x ) = 2x² - 8x + 6

• g ( x ) = x² - 8x + 6

• g ( x ) = - 2x² - 8x + 6

• g ( x ) = - x² + 8x + 6

What is the vertex of f (x) = x² +6x +10 ?

• ( -3, 1 )

• ( 3, -1 )

• ( -3, -1 )

• ( 3, 1 )

If the graph of the equation y = 0.4x² - 2 is is translated 3 units up, what will be the equation of the resulting graph?

• y = .4x² + 3

• y = .4x² + 1

• y = .7x² - 2

• y =3..4x² -2