This math topic focuses on converting quadratic equations from standard form to vertex form by completing the square, specifically when the leading coefficient is -1. Practice is provided on identifying the vertex of the parabola represented by each equation. The skill of manipulating quadratic equations and finding the vertex in context is developed across multiple exercises. Each problem presents a different quadratic equation and offers multiple-choice answers for the vertex, enhancing understanding of quadratic transformations and vertex form recognition.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Quadratic Equation Standard Form to Vertex (Coefficient -1) Worksheet

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Quadratic Equation Standard Form to Vertex (Coefficient -1)
1
Complete the square and convert this to vertex form to find the vertex
A LaTex expression showing y=-1x to the power of 2 -4x-6
a
(-1, -2)
b
(-2, 2)
c
(2, -2)
d
(-2, -2)
2
Complete the square and convert this to vertex form to find the vertex
A LaTex expression showing y=-1x to the power of 2 +6x-12
a
(-3, 3)
b
(-1, -3)
c
(-3, -3)
d
(3, -3)
e
(3, 3)
f
(-1, 3)
3
Complete the square and convert this to vertex form to find the vertex
A LaTex expression showing y=-1x to the power of 2 +8x-18
a
(4, 2)
b
(-2, 4)
c
(4, -2)
d
(-1, -2)
e
(-4, -2)
f
(-1, 4)
4
Complete the square and convert this to vertex form to find the vertex
A LaTex expression showing y=-1x to the power of 2 +8x-17
a
(4, 1)
b
(-4, -1)
c
(-1, 4)
d
(4, -1)
e
(-1, -1)
5
Complete the square and convert this to vertex form to find the vertex
A LaTex expression showing y=-1x to the power of 2 -6x-6
a
(-1, 3)
b
(-3, 3)
c
(3, 3)
d
(3, -3)
e
(-3, -3)
f
(-1, -3)
6
Complete the square and convert this to vertex form to find the vertex
A LaTex expression showing y=-1x to the power of 2 -4x-3
a
(-1, -2)
b
(-2, -1)
c
(-1, 1)
d
(2, 1)
e
(-2, 1)
f
(1, -2)
7
Complete the square and convert this to vertex form to find the vertex
A LaTex expression showing y=-1x to the power of 2 +4x
a
(-1, 4)
b
(-1, 2)
c
(-2, 4)
d
(2, -4)
e
(2, 4)
f
(4, 2)
8
Complete the square and convert this to vertex form to find the vertex
A LaTex expression showing y=-1x to the power of 2 +4x-1
a
(2, -3)
b
(-1, 3)
c
(-2, 3)
d
(-1, 2)
e
(2, 3)
f
(3, 2)