Algebra 1
Arianna 2.13.2024








Match each graph to a quadratic function.
1)
x
y
-2 -1
1 2 3 4 5 6 7 8
-5
-4
-3
-2
-1
1
2
3
A) g(x) = 2(x + 5)2 - 1
B) g(x) = -(x + 3)2 - 3
C) g(x) = 5(x - 1)2 + 5
D) g(x) = -2(x - 5)2 + 1
2)
x
y
-6 -5 -4 -3 -2 -1
1
-1
1
2
3
4
5
6
7
8
A) g(x) = (x - 4)2 - 3
B) g(x) = 12(x + 3)2 + 4
C) g(x) = -12(x + 3)2 + 4
D) g(x) = 1
4
(x + 3)2 - 4
3)
x
y
-4 -3 -2 -1
1
2
3
4
5
6
-8
-6
-4
-2
A) g(x) = 1
4
(x + 1)2 + 1
B) g(x) = - 1
4
(x - 1)2 - 1
C) g(x) = (x - 1)2 - 1
D) g(x) = -3(x + 2)2 - 2
4)
x
y
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
-7
-6
-5
-4
-3
-2
-1
1
A) g(x) = 10(x + 5)2 - 6
B) g(x) = 2(x - 10)2 - 8
C) g(x) = -3(x - 6)2 + 5
D) g(x) = 1
3
(x + 5)2 - 6
Arianna
Page 1 of 6
2/13/2024

















5)
x
y
-7 -6 -5 -4 -3 -2 -1
1
-7
-6
-5
-4
-3
-2
-1
1
A) g(x) = -2(x + 3)2 - 1
B) g(x) = 1
2
x2
C) g(x) = 3(x - 1)2 - 4
D) g(x) = -(x + 3)2
6)
x
y
-7 -6 -5 -4 -3 -2 -1
1
-1
1
2
3
4
5
6
7
8
9
A) g(x) = 1
2
x2 + 2
B) g(x) = 17
3
(x + 4)2 + 4
C) g(x) = - 3
17
(x - 4)2 - 4
D) g(x) = 2(x + 2)2 - 1
7)
x
y
-4 -3 -2 -1
1
2
3
4
-1
1
2
3
4
5
6
7
8
9
A) g(x) = x2 + 5
B) g(x) = 4(x - 1)2 - 6
C) g(x) = -(x - 5)2
D) g(x) = - 2
3
(x - 4)2 + 3
8)
x
y
-8 -7 -6 -5 -4 -3 -2 -1
1
-8
-7
-6
-5
-4
-3
-2
-1
1
A) g(x) = -2(x - 9)2 - 4
B) g(x) = 3
2
(x - 5)2 - 4
C) g(x) = - 1
8
(x + 4)2 - 5
D) g(x) = 8(x - 2)2 + 5
Arianna
Page 2 of 6
2/13/2024


















9)
x
y
-1
1
2
3
4
5
-1
1
2
3
4
5
6
7
8
A) g(x) = 1
4
(x + 3)2 - 6
B) g(x) = 14(x - 2)2 + 5
C) g(x) = -2(x - 3)2 + 6
D) g(x) = -4(x + 5)2 - 2
10)
x
y
-5 -4 -3 -2 -1
1
2
3
-1
1
2
3
4
5
6
7
8
A) g(x) = -(x - 6)2 + 2
B) g(x) = -15(x - 1)2 - 5
C) g(x) = -(x + 1)2 + 6
D) g(x) = 9(x - 1)2 - 3
11)
x
y
-1
1
2
3
4
5
6
7
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
A) g(x) = -2(x - 7)2 - 4
B) g(x) = -(x - 3)2 + 7
C) g(x) = 3(x - 5)2 - 4
D) g(x) = (x - 3)2 - 7
12)
x
y
1
2
3
4
5
6
7
8
9
-3
-2
-1
1
2
3
4
5
6
A) g(x) = - 1
10
(x - 4)2 + 5
B) g(x) = 1
2
(x - 5)2 - 6
C) g(x) = 4(x - 4)2 + 0
D) g(x) = -(x - 5)2 - 5
Arianna
Page 3 of 6
2/13/2024
















Algebra 1
Arianna 2.13.2024







Match each graph to a quadratic function.
1)
x
y
-2 -1
1 2 3 4 5 6 7 8
-5
-4
-3
-2
-1
1
2
3
A) g(x) = 2(x + 5)2 - 1
B) g(x) = -(x + 3)2 - 3
C) g(x) = 5(x - 1)2 + 5
*D) g(x) = -2(x - 5)2 + 1
2)
x
y
-6 -5 -4 -3 -2 -1
1
-1
1
2
3
4
5
6
7
8
A) g(x) = (x - 4)2 - 3
*B) g(x) = 12(x + 3)2 + 4
C) g(x) = -12(x + 3)2 + 4
D) g(x) = 1
4
(x + 3)2 - 4
3)
x
y
-4 -3 -2 -1
1
2
3
4
5
6
-8
-6
-4
-2
A) g(x) = 1
4
(x + 1)2 + 1
*B) g(x) = - 1
4
(x - 1)2 - 1
C) g(x) = (x - 1)2 - 1
D) g(x) = -3(x + 2)2 - 2
4)
x
y
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
-7
-6
-5
-4
-3
-2
-1
1
A) g(x) = 10(x + 5)2 - 6
B) g(x) = 2(x - 10)2 - 8
C) g(x) = -3(x - 6)2 + 5
*D) g(x) = 1
3
(x + 5)2 - 6
Arianna
Page 4 of 6
2/13/2024
D
D
B
B

















5)
x
y
-7 -6 -5 -4 -3 -2 -1
1
-7
-6
-5
-4
-3
-2
-1
1
A) g(x) = -2(x + 3)2 - 1
B) g(x) = 1
2
x2
C) g(x) = 3(x - 1)2 - 4
*D) g(x) = -(x + 3)2
6)
x
y
-7 -6 -5 -4 -3 -2 -1
1
-1
1
2
3
4
5
6
7
8
9
A) g(x) = 1
2
x2 + 2
*B) g(x) = 17
3
(x + 4)2 + 4
C) g(x) = - 3
17
(x - 4)2 - 4
D) g(x) = 2(x + 2)2 - 1
7)
x
y
-4 -3 -2 -1
1
2
3
4
-1
1
2
3
4
5
6
7
8
9
*A) g(x) = x2 + 5
B) g(x) = 4(x - 1)2 - 6
C) g(x) = -(x - 5)2
D) g(x) = - 2
3
(x - 4)2 + 3
8)
x
y
-8 -7 -6 -5 -4 -3 -2 -1
1
-8
-7
-6
-5
-4
-3
-2
-1
1
A) g(x) = -2(x - 9)2 - 4
B) g(x) = 3
2
(x - 5)2 - 4
*C) g(x) = - 1
8
(x + 4)2 - 5
D) g(x) = 8(x - 2)2 + 5
Arianna
Page 5 of 6
2/13/2024
D
B
A
C
















9)
x
y
-1
1
2
3
4
5
-1
1
2
3
4
5
6
7
8
A) g(x) = 1
4
(x + 3)2 - 6
*B) g(x) = 14(x - 2)2 + 5
C) g(x) = -2(x - 3)2 + 6
D) g(x) = -4(x + 5)2 - 2
10)
x
y
-5 -4 -3 -2 -1
1
2
3
-1
1
2
3
4
5
6
7
8
A) g(x) = -(x - 6)2 + 2
B) g(x) = -15(x - 1)2 - 5
*C) g(x) = -(x + 1)2 + 6
D) g(x) = 9(x - 1)2 - 3
11)
x
y
-1
1
2
3
4
5
6
7
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
A) g(x) = -2(x - 7)2 - 4
B) g(x) = -(x - 3)2 + 7
C) g(x) = 3(x - 5)2 - 4
*D) g(x) = (x - 3)2 - 7
12)
x
y
1
2
3
4
5
6
7
8
9
-3
-2
-1
1
2
3
4
5
6
*A) g(x) = - 1
10
(x - 4)2 + 5
B) g(x) = 1
2
(x - 5)2 - 6
C) g(x) = 4(x - 4)2 + 0
D) g(x) = -(x - 5)2 - 5
Arianna
Page 6 of 6
2/13/2024
D
B
A
C