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4-14-2021 Algebra 1: Quiz (8.2-8.4)

Total questions: 25

Worksheet time: 1hrs 6mins

Name
Class
Date
1.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
2.
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
3.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
4.
Determine the vertex of the parabola:
y = 5x2 - 20x + 13
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
5.

Convert the equation from vertex form (shown) to standard form:

y = -3(x + 5)2 - 4

Formula: y = ax2 + bx + c

a)

y = 9x2 - 15x + 21

b)

y = -3x2 - 75x - 4

c)

y = 9x2 + 90x + 221

d)

y = -3x2 - 30x - 79

6.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
7.
When a parabola opens downward the vertex is
a)
a minimum
b)
a maximum
c)
a vertex
d)
a parabola
8.
Does the equation open or or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
9.
Which of the following equations is in vertex form?
a)
f(x) = x2 + 6x - 2
b)
f(x) = (x - 1)2 + 2
10.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
11.


 y=4(x+2)2−8y=4(x+2)^2-8 

Convert the equation from vertex form to standard form. 

a)

 y=4x2+16x+8y=4x^2+16x+8  

b)

 y=4x2+16x+16y=4x^2+16x+16  

c)

 y=16x2+64x−8y=16x^2+64x-8  

d)

 y=16x2+256x+8y=16x^2+256x+8  

12.
Which of the following equations matches vertex form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
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's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
15.
Find the vertex of f(x)= -2x2-16x+3.
a)
(4, -93)
b)
(-4, 35)
c)
(-4,99)
d)
(8,3)
16.

The equation for the axis of symmetry line is 

 x=−b2ax=\frac{-b}{2a}  

a)

true

b)

false

17.

Is the graph shown above a max or min?

a)

Maximum

b)

Minimum

18.

What is the y-intercept of the graph shown above?

a)

all real numbers

b)

(0,6)

c)

(0,2)

d)

(0,-6)

19.

A parabola has a vertex at (2,-3).

Where is the axis of symmetry?

a)

y = -2

b)

y = 3

c)

x = -3

d)

x = 2

20.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
21.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
22.
What is the axis of symmetry?
a)
x = - 4
b)
x = - 2
c)
x = 0
d)
x = 4
23.

Determine the values of a, b and c for the quadratic equation 9x2 - 14x + 5.

a)

a = -14, b = 9, c = 5

b)

a = 5, b = 9, c = - 14

c)

a = 9, b = - 14, c = 5

d)

a = x2, b = x , c = 5

24.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
25.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
a)
(0, -8)
b)
(0, 3)
c)
(-8, -7)
d)
(0, -7)