Monitoring Progress - Quadratic Function

 Write a rule for g and identify the vertex.

Let g be a translation 2 units up, followed by a reflection in the x-axis and a vertical stretch by a factor of 4 of the graph of $f\left(x\right)=3\left(x+2\right)^2$  

       Write a rule for g and identify the vertex.
  Let g be a horizontal shrink by a factor  $\frac{1}{3}$  of followed by a translation 2 units up and 4 units left of the graph of  $\ f\left(x\right)=\left(2x+1\right)^2-11$  

Graph the function. Label the vertex and axis of symmetry.
 
 $f\left(x\right)=2\left(x-1\right)^2-5$  

Graph the function. Label the vertex and axis of symmetry.
 
 $f\left(x\right)=3x^2+6x-2$  

Find the x-intercepts and the y-intercept of the graph of the function. Then describe where the function is increasing and decreasing.

 $g\left(x\right)=-3\left(x+2\right)\left(x+4\right)$  

Find the x-intercepts and the y-intercept of the graph of the function. Then describe where the function is increasing and decreasing.

 $g\left(x\right)=\frac{1}{2}\left(x-5\right)\left(x+1\right)$