Completing the Square Quiz Review

Convert the following to vertex form: $f\left(x\right)=x^2+6x-12$  

•  $f\left(x\right)=\left(x+3\right)^2-3$  

•  $f\left(x\right)=\left(x-3\right)^2-21$  

•  $f\left(x\right)=\left(x+3\right)^2-21$  

•  $f\left(x\right)=\left(x-3\right)^2-3$  

Convert the following to vertex form: $f\left(x\right)=x^2+16x+75$  

•  $f\left(x\right)=\left(x+8\right)^2+11$  

•  $f\left(x\right)=\left(x+8\right)^2+139$  

•  $f\left(x\right)=\left(x+16\right)^2+11$  

•  $f\left(x\right)=\left(x+16\right)^2+139$  

Convert the following to vertex form:

 $f\left(x\right)=x^2-15x+20$  

•  $f\left(x\right)=\left(x+7.5\right)^2-36.25$  

•  $f\left(x\right)=\left(x-7.5\right)^2+76.25$  

•  $f\left(x\right)=\left(x+7.5\right)^2+76.25$  

•  $f\left(x\right)=\left(x-7.5\right)^2-36.25$  

Convert the following to vertex form:

 $f\left(x\right)=2x^2-8x+65$  

•  $f\left(x\right)=2\left(x-4\right)^2+49$  

•  $f\left(x\right)=2\left(x-2\right)^2+57$  

•  $f\left(x\right)=2\left(x-2\right)^2+61$  

•  $f\left(x\right)=2\left(x-4\right)^2+61$  

Convert the following to vertex form:
 $f\left(x\right)=3x^2+18x-54$  

•  $f\left(x\right)=3\left(x+3\right)^2-30$  

•  $f\left(x\right)=3\left(x+9\right)^2-135$  

•  $f\left(x\right)=3\left(x+9\right)^2-63$  

•  $f\left(x\right)=3\left(x+3\right)^2-81$  

State ALL the transformations of the following:

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

• Reflected over the x-axis, vertical shrink by a factor of 2, right 3, down 4

• Reflected over the x-axis, vertical stretch by a factor of 2, left 3, down 4

• Reflected over the x-axis, vertical stretch by a factor of 2, down 3, left 4

• vertical stretch by a factor of 2, left 3, down 4

State the vertex of the following:
 $f\left(x\right)=-2\left(x+3\right)^2-4$  

• (-4, 3)

• (3, 4)

• (3, -4)

• (-3, -4)