Unit O: Quadratic Test Review

• Function g is wider than f.

• Function g and f open in the same direction.

• Function g and f have the same vertex.

• Function g and f have the same axis of symmetry.

Which function's graph is the most narrow?

Select the answer that correctly depicts the sequence that transforms the graph of  $f\left(x\right)\ =\ x^2\$ to  $g\left(x\right)\ =\ 5\left(x+2\right)^{2\ }-4?$ 

• Stretch by a factor of 5, then translate 2 units to left and 4 units down.

• Compress by a factor of 5, then translate 2 units to left and 4 units down.

• Stretch by a factor of 5, then translate 2 units to right and 4 units down.

• Compress by a factor of 5, then translate 2 units to right and 4 units down.

Which is the graph of:  $f\left(x\right)\ =-\left(x+1\right)^2-4?$  

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• f(x)​; The ​y-coordinate of the vertex of f(x)

  is greater than the ​y-coordinate of the vertex of g(x).

• f(x)​; The ​x-coordinate of the vertex of f(x)

  is greater than the ​x-coordinate of the vertex of g(x)

• g(x)​; The ​y-coordinate of the vertex of g(x)

  is greater than the ​y-coordinate of the vertex of f(x).

• g(x)​; The ​x-coordinate of the vertex of g(x)

  is greater than the ​x-coordinate of the vertex of f(x)

• The graph has a minimum value.