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P3.3: Std to Vertex Form

Last updated almost 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.
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.
1

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

1

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

1

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

1

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

1

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

1

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

1

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

1

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

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.
1
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 __________
1
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 __________