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HW: Test Review 4.1 to 4.4

Total questions: 47

Worksheet time: 2hrs 34mins

Name
Class
Date
1.
Given the equation for this parabola:
 y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
2.

Which equation is Vertex Form?

a)

y=ax2+bx+c

b)

y=a(x-h)2+k

3.

Which equation is in standard form?

a)

y=a(x-h)2+k

b)

y=ax2+bx+c

4.
Given the equation for this parabola:
 y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
5.

What is the vertex of this quadratic equation?

y = 2(x + 2)2 + 5

a)

(-2,5)

b)

(2,5)

c)

(5,-2)

d)

(-5,-2)

6.
a)
y=(x-4)2+1
b)
y=(x-4)2-1
c)
y=(x+4)2+1
d)
y=(x+4)2-1
7.

Which equation matches the graph?

a)

y=(x-2)2+3

b)

y=(x-2)2-3

c)

y=(x+2)2+3

d)

y=(x+2)2-3

8.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
9.
What is the axis of symmetry?
f(x) = x2 - 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
10.
What is the axis of symmetry?
y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
11.
What is the vertex?
f(x) = 2(x - 5)2 + 12
a)
(-5, -12)
b)
(5,-12)
c)
(5, 12)
d)
(-5, 12)
12.

Find the Vertex: y= -5x2 -20x - 26

a)

(-2, -6)

b)

(2, 6)

c)

(6,2)

d)

(3, 6)

13.
What is the vertex?
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
14.
What is the vertex?
y = -2x2 + 4x + 3
a)
(0, 3)
b)
(-1, 5)
c)
(1, 5)
d)
(1, -5)
15.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
16.

What is the range of the function graphed above?

a)

y ≥ -2

b)

y ≤ 4

c)

y ≥ 4

d)

y ≤ -2

17.

What is the range of the parabola above?

a)

y ≤ 2

b)

y ≥ 2

c)

y ≤ 3

d)

y ≥ 3

18.
Factor
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
19.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
20.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
21.

If the zeros of a quadratic equation are −2 and 3, the equation can be written as

a)

(x − 2)(x + 3) = y

b)

(x + 2)(x − 3) = y

c)

(x + 2)(x + 3) = y

d)

(x − 2)(x − 3) = y

22.

How would this equation look in standard form?

a)

y = x2 – 2x + 3

b)

y = x2 – 2x – 3

c)

y = x2 + 2x + 3

d)

y = x2 + 2x – 3

23.

Using the graph, what are the factors

a)

(x + 6)(x + 18)

b)

(x – 6)(x – 18)

c)

(x + 6)(x – 18)

d)

(x – 6)(x + 18)

24.

If the equation of a quadratic in factored form is f(x) = (x + 3)(x − 1), the ZEROS are

a)

3 and −1

b)

−3 and 1

c)

3 and 1

d)

−3 and −1

25.
Factor:
24c5 - 12c3
a)
6(4c5 - 2c3)
b)
12c3(2c2)
c)
12c3(2c2 - 1)
d)
12c3(2c2 - 0)
26.
FACTOR
7w3-14w
a)
7w(w2-2)
b)
7w(w2-2w)
c)
7w(w-2)
d)
7w(w+2)
27.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
28.
Factor: 5n² - 6n - 27
a)
(5n + 3)(n-9)
b)
(5n - 3)(n + 9)
c)
(5n + 9)(n - 3)
d)
(5n - 9)(n + 3)
29.
Factor (hint...take out the greatest common factor first)
2c2 + 2c - 84
a)
(c-6)(2c+14)
b)
(c+7)(2c-12)
c)
(c-4)(2c+21)
d)
2(c+7)(c-6)
30.

Factor:

x2 + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

31.
Factor:
x2 - 10x - 24
a)
(x + 12)(x - 2)
b)
(x - 6)(x - 4)
c)
(x - 12)(x + 2)
d)
(x +6)(x - 4)
32.
Factor:
x2 - 14x + 24
a)
(x - 8)(x - 3)
b)
(x - 12)(x - 2)
c)
(x - 6)(x - 4)
d)
(x - 24)(x - 1)
33.
Find GCF of 22x3+11x2
a)
11x
b)
11x2
c)
22x
d)
22x2
34.
Factor:
24c5 - 12c3
a)
6(4c5 - 2c3)
b)
12c3(2c2)
c)
12c3(2c2 - 1)
d)
12c3(2c2 - 0)
35.
Factor:
18b2-9b3
a)
9b2(18-9b)
b)
9b2(2-b)
c)
9b2(18-9b2)
d)
b2(2-b2)
36.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
37.
Factor: 5n² - 6n - 27
a)
(5n + 3)(n-9)
b)
(5n - 3)(n + 9)
c)
(5n + 9)(n - 3)
d)
(5n - 9)(n + 3)
38.
Factor (hint...take out the greatest common factor first)
2c2 + 2c - 84
a)
(c-6)(2c+14)
b)
(c+7)(2c-12)
c)
(c-4)(2c+21)
d)
2(c+7)(c-6)
39.
Factor: 4x² - 20x + 25
a)
(4x - 25) (x -1)
b)
(2x + 5) (2x - 5)
c)
(2x - 5)²
d)
(4x - 5) (x - 5)
40.
What is the GCF of the trinomial?
3x2 - 9x -120
a)
3
b)
2
c)
6
d)
9
41.
Factor x2 + 9x + 20
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
42.
Factor x2 + 12x + 20
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
43.
Factor x2 + 7x + 12
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
44.
Factor d2 - 10d + 25
a)
(d + 5) (d - 5)
b)
(d - 15) (d + 10)
c)
(d + 5) (d - 20)
d)
(d - 5) (d - 5)
45.
Find the factors of 5x2+20x+20
a)
5(x+2)(x+2)
b)
5(x-2)(x-2)
c)
5(x+2)(x-2)
d)
(5x+2)(x+2)
46.
Factor:
 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
47.
Factor:
 2x² - 7x + 6
a)
(x -1)(2x - 6)
b)
(x - 3) (2x - 2)
c)
(x - 2) (2x - 3)
d)
(x - 6) (2x - 1)

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