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Worksheets

Maxima and Minima

Total questions: 28

Worksheet time: 38mins

Name
Class
Date
1.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
2.

Does y = -4x2 have a maximum or minimum value? (HINT: Graph the equation.)

a)

maximum

b)

minimum

3.
What is the vertex?
a)
(-1,-2)
b)
(-2,-1)
c)
(-3,-1)
d)
(2,1)
4.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
5.

Does this graph have a minimum or maximum? What point?

a)

minimum at (-3, -5)

b)

minimum at (3, 5)

c)

maximum at (-3, -5)

d)

maximum at (3, 5)

6.

Does this graph have a minimum or maximum? What point?

a)

Minimum at (0, 0)

b)

Minimum at (0, 2)

c)

Maximum at (0, 0)

d)

Maximum at (0, 2)

7.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
8.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
9.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
10.
At what point is the minimum of this graph?
a)
(4,1)
b)
(1,-4)
c)
(-1,0)
d)
(3,0)
11.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
12.
What is the relative max?
a)
(0, 36)
b)
(-2.55, -6.55), (2.55, -6.55)
c)
(-∞, ∞)
d)
None
13.

Identify the vertex. (Vertex = Maximum or minimum)

a)

(-2.5, 2.5)

b)

-6

c)

(-6, 0)

d)

(0, -6)

14.
What is the vertex?
a)
-6
b)
0
c)
(-6, 0)
d)
(0, -6)
15.

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

16.

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

17.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
18.

What is the green dot on the parabola (graph) called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

19.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
20.

What is the minimum of this graph?

a)

(4,1)

b)

(1,-4)

c)

(-1,0)

d)

(3,0)

21.

What is the relative minimum?

a)

(0, 4)

b)

(2, 0)

c)

(0, 2)

d)

(-1, 0)

22.

What is the relative maximum?

a)

(1, 4)

b)

(0, 2)

c)

(-1, 0)

d)

(2, 0)

23.

Does this graph have a maximum or minimum?

a)

maximum

b)

minimum

c)

neither

d)

both

24.

What is the minimum value of the quadratic function

f(x) = x² - 2x + 7 . (HINT: Graph the equation on a calculator, then find the maximum or minimum.)

a)

6

b)

7

c)

0

d)

none

25.

When the vertex is the highest point it is called ____

a)

the tipping axis

b)

absolute primo axis

c)

minimum

d)

maximum

26.

A vertex that represents the LOWEST point on a graph is called _____

a)

maximum

b)

minimum

c)

vertex

d)

home run

27.

Find the Vertex: y= x2 +6x + 4 (HINT: Graph the equation on a calculator, then find the maximum or minimum.)

a)

(-3, -5)

b)

(5, 3)

c)

(3, 5)

d)

(5, -3)

28.

Find the Vertex: y= x2- 4 . (HINT: Graph the equation on a calculator, then find the maximum or minimum.)

a)

(0,0)

b)

(0,4)

c)

(0,-4)

d)

(4,0)