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9.1 Standard form Practice 2

Total questions: 57

Worksheet time: 3hrs 35mins

Name
Class
Date
1.

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

2.

Find the vertex of

f(x) = -x2 - 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

3.

What is the y-intercept for the following equation?

y = 4x2 - 8x + 9

a)

(0, 1)

b)

(0, 9)

c)

(0, -1)

d)

(0, 2)

4.

The axis of symmetry for a vertical parabola always matches...

a)

the y-intercept

b)

the y-value of the vertex

c)

the x-value of the vertex

d)

the x-intercepts

5.
What is the y-intercept?
f(x) = -2x2 + 4x - 6
a)
(0, 6)
b)
(0, -6)
c)
(6, 0)
d)
(-6, 0)
6.
What is the axis of symmetry?
f(x) = x- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
7.

The parabola y = x2 - 2x + 4 will

a)

open up

b)

open down

8.
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
9.
If we have the equation y=ax2+bx+c, how can we can find the x-coordinate of the vertex?
a)
-a
b)
-b/a
c)
b/2a
d)
-b/2a
10.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
11.
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
12.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
13.
What is the axis of symmetry?
y = 3x- 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
14.
What do we call the highest or lowest point of a quadratic?
a)
parabola
b)
vertex
c)
graph
d)
point
15.

What is the RANGE of this graph?

a)

all Real numbers

b)

y3y\ge3  

c)

y>1y>-1  

d)

y1y\ge-1  

16.

What is the RANGE of the graph?

a)
All Real Numbers
b)

  4y2-4\le y\le2  

c)

y3y\le3  

d)

y4y\le4  

17.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
18.
What is the range of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ 0
d)
x ≥ 0
19.
What is the range of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ -1
d)
x ≥ 0
20.

What is the RANGE for the graph?

a)

0 ≤ y ≤ 4

b)

-2 ≤ y ≤ 2

c)

y ≤ 4

d)

y < 4

21.

Which point is SYMMETRIC to the y-intercept?

a)

 (-6, 4)

b)
(-3, -5)
c)

(-2, -4)

d)

(0,4)

22.

Which point is SYMMETRIC to the y-intercept?

a)

(0,4)

b)

(2,6)

c)

(4,4)

d)

(6,-2)

23.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

24.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

25.
Name the x-intercept(s)?
a)
(0, 0)
b)
(2, 4)
c)
(0, 0) and (0, 4)
d)
(0, 0) and (4, 0)
26.

Will the parabola be wide, narrow, or regular? y=2x2y=2x^2

a)

Wide

b)

Narrow

c)

Regular

27.

Will the parabola be wide, narrow, or regular? y=12x2y=\frac{1}{2}x^2  

a)

Wide

b)

Narrow

c)

Regular

28.

Will the parabola be wide, narrow, or regular? y=23x2y=-\frac{2}{3}x^2  

a)

Wide

b)

Narrow

c)

Regular

29.

Will the parabola be wide, narrow, or regular? y=9x2y=-9x^2  

a)

Wide

b)

Narrow

c)

Regular

30.

Based on the graph, the vertex is the:

a)

Min

b)

Max

31.

Based on the graph, the vertex is the:

a)

Min

b)

Max

32.

Will this parabola open wide or narrow?

f(x)=4x2f\left(x\right)=4x^2  

a)

Wide

b)

Narrow

33.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
34.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
35.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
36.
Does the quadratic have a max/min vertex, and does the parabola open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
37.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
38.
Which best describes the vertex of a parabola?
a)
Any point on the parabola.
b)
A point on the x-axis.
c)
The highest or lowest point of a parabola
d)
A point on the y-axis.
39.
What is the vertex?
a)
(4,-4)
b)
(2,0)
c)
(0,2)
d)
(6,0)
40.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
41.
What is the axis of symmetry?
a)
the slope of the graph
b)
the dividing line for a parabola
c)
a way to spin my pencil
d)
the x-axis
42.
What is the range of the function?
a)
y≤3
b)
y≥3
c)
All real numbers
d)
-6≤y≤3
43.
What is the domain of the function?
a)
x≥3
b)
x≤3
c)
All real numbers
d)
-1≤x≤5
44.
Identify the y-intercept
a)
(-1,9)
b)
(0,-8)
c)
(-4,0)
d)
(0,0)
45.
What is a Parabola?
a)
The graph of a quadratic function
b)
The graph of a linear function
c)
The graph of an absolute value function
d)
A boat
46.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
47.
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
48.
What is the range?
a)
y≥-3
b)
y≥-1
c)
All real numbers
d)
y≤-1
49.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
50.
What divides the parabola into 2 perfect halves?
a)
Axis of Symmetry
b)
Vertex
c)
Axis of Doom
d)
x - intercept
51.
What is another word for ROOTS?
a)
Zeros
b)
y-intercept
c)
Maximum
d)
Vertex
52.

What is the vertex?

a)

(1, -3)

b)

(-1, 3)

c)

(3, -1)

d)

(-3, 1)

53.

What is the axis of symmetry?

a)

x = -1

b)

x = -2

c)

y = -1

d)

y = -2

54.
What is the vertex?
a)
(0, - 1)
b)
(0, 0.5)
c)
(-1, 0)
d)
(0.5, 0)
55.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
56.

What are the x-intercepts of this graph?

a)

(0,3)

b)

(-3,0) and (-1,0)

c)

x = -2

d)

There are no x-intercepts.

57.
The axis of symmetry (line of symmetry) of this parabola is...
a)
y=4
b)
y=-4
c)
x=4
d)
x=-4