P3.3: Std to Vertex Form

Last updated about 4 years ago

11 questions

Note from the author:

Instructions

P3.3: Std to Vertex Form

Last updated about 4 years ago

11 questions

Note from the author:

Rewrite each parabola equation in vertex form.  Use "y=..." format, no spaces.

Watch this video to review how to find a parabola's vertex form.

Instructions

Rewrite each parabola equation in vertex form.  Use "y=..." format, no spaces.

Watch this video to review how to find a parabola's vertex form.

y = x^{2} + 4x - 1

y=x^{2}-12x+36

y=x^{2}-2x+5

y=-x^{2}+6x-10

y=\frac{1}{2}x^{2}-4x+7

y=x^{2}+10x+18

y=-x^{2}+4x-6

y=-2x^{2}+8x-1

y=3x^{2} + 6x

Review:  for the following parabolas, find the function features.

These will only turn green when you get all parts correct.

f(x) = x^{2}+4x-7

The vertex is at __________ 
The vertex is a __________  
The axis of symmetry is __________ 
The function is increasing on the interval __________ 
The function is decreasing on the interval __________ 
As x\rightarrow\infty, f(x) \rightarrow __________  
As x\rightarrow -\infty, f(x) \rightarrow __________ 

f(x) = -2x^{2}+4x

The vertex is at __________ 
The vertex is a __________  
The axis of symmetry is __________ 
The function is increasing on the interval __________ 
The function is decreasing on the interval __________ 
As x\rightarrow\infty, f(x) \rightarrow __________  
As x\rightarrow -\infty, f(x) \rightarrow __________ 