Question : Find the coordinates of the vertex for the parabola defined by the given quadratic function : 2152282
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
The graph of a quadratic function is given. Determine the function's equation.
1)
A) g(x) = (x + 3)2 - 3
B) j(x) = (x – 3)2 - 3
C) f(x) = (x + 3)2 + 3
D) h(x) = (x – 3)2 + 3
2)
A) f(x) = (x + 2)2 + 2
B) g(x) = (x + 2)2 - 2
C) j(x) = (x – 2)2 - 2
D) h(x) = (x – 2)2 + 2
3)
A) h(x) = (x – 3)2 + 3
B) j(x) = (x – 3)2 - 3
C) f(x) = (x + 3)2 + 3
D) g(x) = (x + 3)2 - 3
4)
A) j(x) = (x – 1)2 - 1
B) h(x) = (x – 1)2 + 1
C) f(x) = (x + 1)2 + 1
D) g(x) = (x + 1)2 - 1
5)
A) h(x) = x2 - 2
B) f(x) = x2 - 4x + 4
C) j(x) = x2 + 2
D) g(x) = x2 + 4x + 4
6)
A) g(x) = x2 + 6x + 9
B) j(x) = x2 + 3
C) f(x) = x2 - 6x + 9
D) h(x) = x2 - 3
7)
A) j(x) = x2 + 2
B) f(x) = x2 - 4x + 4
C) g(x) = x2 + 4x + 4
D) h(x) = x2 - 2
8)
A) h(x) = x2 - 2
B) f(x) = x2 - 4x + 4
C) j(x) = x2 + 2
D) g(x) = x2 + 4x + 4
9)
A) j(x) = -x2 + 1
B) h(x) = -x2 - 1
C) g(x) = -x2 + 2x + 1
D) f(x) = -x2 - 2x - 1
10)
A) g(x) = -x2 + 4x + 4
B) f(x) = -x2 - 4x - 4
C) h(x) = -x2 - 2
D) j(x) = -x2 + 2
Find the coordinates of the vertex for the parabola defined by the given quadratic function.
11) f(x) = (x + 3)2 + 3
A) (0, 3)
B) (3, 0)
C) (-3, -3)
D) (-3, 3)
12) f(x) = x2 + 9
A) (0, 9)
B) (0, -9)
C) (9, 0)
D) (-9, 0)
13) f(x) = (x + 4)2 + 6
A) (-6, 4)
B) (6, -4)
C) (6, -16)
D) (-4, 6)
14) f(x) = 4 - (x + 3)2
A) (-3, 4)
B) (4, -3)
C) (4, 3)
D) (3, 4)
15) f(x) = (x + 8)2 - 5
A) (-8, 5)
B) (8, 5)
C) (8, -5)
D) (-8, -5)
16) y + 4 = (x + 2)2
A) (4, 2)
B) (- 2, - 4)
C) (4, - 2)
D) (2, - 4)
17) f(x) = 11(x - 2)2 + 8
A) (8, -2)
B) (-2, 8)
C) (11, 2)
D) (2, 8)
18) f(x) = -7(x - 2)2 - 7
A) (-2, -7)
B) (-7, -2)
C) (2, -7)
D) (-7, 2)
19) f(x) = x2 - 8
A) (0, 8)
B) (1, 0)
C) (8, 0)
D) (0, -8)
20) f(x) = x2 - 2x + 2
A) (-1, 5)
B) (-2, 10)
C) (1, 1)
D) (1, -1)
21) f(x) = -x2 - 6x + 4
A) (3, -5)
B) (-3, 13)
C) (-6, 4)
D) (3, -23)
22) f(x) = 3 – x2 - 2x
A) (1, 4)
B) (- 1, - 4)
C) (1, - 4)
D) (- 1, 4)
23) f(x) = -5x2 + 10x + 1
A) (2, -9)
B) (-2, -39)
C) (1, 6)
D) (-1, -14)
Find the axis of symmetry of the parabola defined by the given quadratic function.
24) f(x) = x2 + 6
A) y = 6
B) x = -6
C) x = 0
D) x = 6
25) f(x) = (x + 2)2 + 6
A) x = -2
B) y = 6
C) y = -6
D) x = 2
26) f(x) = 8 - (x + 3)2
A) x = 8
B) x = -8
C) x = -3
D) x = 3
27) f(x) = (x + 3)2 - 6
A) x = 6
B) x = 3
C) x = -3
D) x = -6
28) y + 4 = (x + 2)2
A) y = -4
B) y = 4
C) x = 2
D) x = - 2
29) f(x) = 11(x - 3)2 + 9
A) x = -3
B) x = 11
C) x = 9
D) x = 3
30) f(x) = -7(x - 5)2 - 9
A) x = -5
B) x = 5
C) x = -9
D) x = -7
31) f(x) = x2 - 8x - 4
A) x = -8
B) x = 4
C) x = -4
D) x = -20
32) f(x) = -x2 - 4x - 3
A) x = -2
B) x = 2
C) x = 1
D) x = -4
33) f(x) = 6x2 + 12x + 1
A) x = 1
B) x = -1
C) x = -2
D) x = -5
