10/21 Practice Quadratic Forms #1

Use the function :

 $f\left(x\right)=-2\left(x+2\right)^2+5$  
What form is the quadratic function in?

• Standard Form

• Vertex Form

• Intercept Form

• Slope Form

Use the function :

 $f\left(x\right)=-2\left(x+2\right)^2+5$  
What transformations have taken place?

• reflection over the x axis, Vertical stretch by 2, left 2, up 5

• Reflection over the y-axis, vertical compression by 2, left 2, up 5

• Reflection over the x-axis, right 2, up 5

• Reflection over the y-axis, vertical stretch by 2

Use the function :

 $f\left(x\right)=-2\left(x+2\right)^2+5$  
What is the axis of symmetry?

• x=5

• x= -2

• x=2

• x=1

Use the function :

 $f\left(x\right)=-2\left(x+2\right)^2+5$  
What is the vertex?

• (2,5)

• (-2,-5)

• (2,-5)

• (-2,5)

Use the function :

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

•  $x\ge-2$  
  

• All Real Numbers

•  $x\ge2$  
  

•  $x\le2$  
  

Use the function :

$f\left(x\right)=-2\left(x+2\right)^2+5$
What is the Range?

•  $y\ge-5$ 
  

• All Real Numbers

• $x\ge2$
  

•  $y\le5$ 
  

Use the function :

$f\left(x\right)=-2\left(x+2\right)^2+5$
What is the end behavior? (hint: think about the ends of the graph)

•  $x\rightarrow\infty\ \ y\rightarrow\infty$   $x\rightarrow-\infty\ \ y\rightarrow-\infty$  
  

•  $x\rightarrow\infty\ \ y\rightarrow-\infty$   $x\rightarrow-\infty\ \ y\rightarrow-\infty$  
  

•  $x\rightarrow\infty\ y\rightarrow\infty$   $x\rightarrow-\infty\ \ y\rightarrow\infty$  
  

• I don't Know

Write the equation of the quadratic in vertex form given the vertex (-4,-2) and the point (-3,-1)

• $y=\ -\left(x+4\right)^2-2$

• $y=2\left(x+4\right)^2-2$

• $y=\left(x+4\right)^2-2$

• $y=-2\left(x+4\right)^2+2$