Lesson 19
Hart Interactive – Algebra 1
M4
T
ALGEBRA I
Homework Problem Set Sample Solutions
Problems 6 – 9 will be difficult for students because of the odd coefficient for the linear term. Remind
students that the same methods apply and they will need a common denominator.
S.141
Write each quadratic equation in vertex form.
1. y = x2 + 12x – 3
2. y = x2 – 6x + 9
y = (x + 6)2 – 39
4. y = x2 + 2x – 17
y = (x - 3)2 + 0
5. y = x2 – 8x – 2
y = (x + 1)2 – 18
7. y = x2 – 5x + 8
y = (x -
3. y = x2 – 4x – 5
6. y = x2 + 7x – 3
y = (x - 4)2 – 18
8. y = x2 – 3x + 1
5 2 7
) +
4
2
10. y = x2 – 6x
y = (x -
Lesson 19:
Unit 12:
y = (x +
y = (x +
7 2 61
) 4
2
9. y = x2 + 11x – 12
3 2 5
) 2
4
11. y = x2 + 15x
y = (x - 3)2 – 9
y = (x - 2)2 – 9
y = (x +
11 2 169
) 4
2
12. y = x2 – 4
15 2 225
) 2
4
Vertex Form – Finding k
Completing the Square & The Quadratic Formula
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
This file derived from ALG I-M4-TE-1.3.0-09.2015
y = x2 – 4 (already in vertex
form)
262
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.