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Q2q1(11)

Total questions: 25

Worksheet time: 55mins

Name
Class
Date
1.

What are the

roots (x-intercepts) of the function

f(x)= (x - 2)(x + 3)?

a)

x = - 2 or x = 3

b)

x = 2 or x = -3

c)

The are no real roots

d)

x = 2 or x = 3

2.

What is the vertex of this function?

a)

(0, -3)

b)

(1, -4)

c)

(-2, 5)

d)

{-1, 3}

3.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

4.

What is the axis of symmetry for the following equation?

y=4x2-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

5.
Match the description to its equation.
Moves down 1
Moves right 1
a)
A
b)
B
c)
C
d)
D
6.

Which transformation maps the graph of

f(x) = x2 to the graph of g(x) = (x + 4)2?

a)

a reflection across the x-axis

b)

a translation shifting 4 units up.

c)

a translation shifting 4 units to the left

d)

a translation shifting f(x) 4 units to the right

7.

Use Factoring and the Zero Product Property to solve:

0=x2+2x150=x^2+2x-15  

a)

x = 5

and

x = 3

b)

x = -5

and

x=-3

c)

x = 5

and

x = -3

d)

x = -5

and

x = 3

8.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
9.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
10.
15f) Determine the line of symmetry.  y = x2+16x+64
a)
x=4
b)
x=2
c)
x=-8
d)
x=64
11.

What is the vertex?

y=2(x3)2+6y=2\left(x-3\right)^2+6  

a)

(2, 6)

b)

(3, 6)

c)

(2, -3)

d)

(-3, 6)

12.

Maximum or Minimum?

y=(x4)21y=-\left(x-4\right)^2-1  

a)

Max = -4

b)

Max = -1

c)

Min = -1

d)

Min = 4

13.
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)
14.
What is the equation of this graph?
a)
f(x) = (x -5)2 + 1
b)
f(x) = (x - 1)2 - 5
c)
f(x) = (x + 1)2 - 5
d)
f(x) = (x + 5)2 +1
15.

Write the equation of the quadratic function in Intercept Form using the x-intercepts and ANY point on the graph.. Remember: Intercept form is written as y = a(x-p)(x-q)

a)

y =(x - 1)(x - 3)

b)

y = -1/2(x - 1)(x + 3)

c)

y = 2(x + 1)(x - 3)

d)

y = - 1(x - 1)(x - 3)

16.

What is the quadratic function for the graph in intercept form?

a)

y = (x - 2)(x - 6)

b)

y = - (x - 2)(x - 6)

c)

y = (x + 2)(x + 6)

d)

y = (x + 4)(x - 4)

17.
What are the factors of x2-8x-48
a)
(x-12)(x+4)
b)
(x+12)(x-4)
c)
(x+12)(x+4)
d)
(x-12)(x-4)
18.
Factor: x2 - 4x + 4
a)
(x + 2)2
b)
(x - 2)2
c)
(x + 4)2
d)
(x - 4)2
19.
Is this a perfect square trinomial?
x2 + 16x + 64
a)
Yes
b)
No
20.
Which of the following is a perfect square trinomial?
a)
x2 + 14x – 49 
b)
x2 + 20x + 100 
c)
x2 – 8x + 4 
d)
x2 – 5x + 6 
21.
Factor 25x2 - 81.
a)
(5x -  9)(5x + 9)
b)
(5x - 9)(5x - 9)
c)
(5x + 9)(5x + 9)
d)
cannot be factored
22.
A ball is thrown vertically into the air.  Its height in feet after t seconds is given by the equation h(t) = –5t2 + 20t, and is graphed below.  How high will the ball be after 3 seconds?
a)
20 ft
b)
15 ft
c)
5 ft
d)
10 ft
23.
Superman kicks a ball into the air.  The path can be found using the equation d(t) = -16t2+ 48x, how long is the ball above 30 feet?
a)
1 seconds
b)
5 seconds
c)
4 seconds
d)
6 seconds
24.

A lizard is jumping across the water in search of food. The equation h = -12t2 + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?

a)

0.1 seconds

b)

0.25 seconds

c)

0.50 seconds

d)

0.75 seconds

e)

1 second

25.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t2 +128t  
When will the object reach its maximum height?
a)
4 ft
b)

256 seconds

c)

256 ft

d)
4 seconds