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Maximum and Minimum Values of Quadratic Functions

Total questions: 13

Worksheet time: 28mins

Name
Class
Date
1.

Determine if the function graphed has a maximum or a minimum value and identify that value.

a)

maximum at -1

b)

minimum at -1

c)

maximum at 4

d)

minimum at 4

2.
What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?
a)
The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum 
b)
The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum
c)
The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
d)
The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum
3.
What's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
4.
Does
y = -4x2
have a maximum or minimum value?

a)
maximum
b)
minimum
5.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
6.
Does the equation have a max or min?
y = 2x2 + 7x + 5
a)
max
b)
min
7.
What do we call the highest or lowest point of a quadratic?
a)
parabola
b)
vertex
c)
graph
d)
point
8.

The a value of this graph is

a)

negative

b)

positive

c)

impossible to tell

d)

0

9.

What is the minimum value of the quadratic function?

a)

-3

b)

-1

c)

All real numbers

d)

1

10.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
11.
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
12.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
a)
(0, -8)
b)
(0, 3)
c)
(0, 7)
d)
(0, -7)
13.

Which of the following functions has a minimum value of -4?

a)
b)
c)
d)