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CIA #1 Graphing in Intercept and Standard Form

Total questions: 17

Worksheet time: 34mins

Name
Class
Date
1.

Which graph represents the function y=(x4)2+1y=-\left(x-4\right)^2+1   ?

a)
b)
c)
d)
2.

Given f(x) = 2x2+4f\left(x\right)\ =\ -2x^2+4  , what is the range of the function?

a)

all real numbers less than or equal to 4

b)

all integers less than or equal to 4

c)

all nonnegative real numbers

d)

all nonnegative integers

3.
Describe the end behavior of the graph.
a)

As x increases, f(x) decreases

As x decreases f(x) decreases

b)

As x increases, f(x) increases

As x decreases, f(x) increases 

c)

As x increases, f(x) increases

As x decreases, f(x) is 0 

d)

As x increases, f(x) increases

As x decreases, f(x) decreases

4.
Describe the end behavior of the graph.
a)

As x increases, f(x) increases

As x decreases, f(x) decreases

b)

As x increases, f(x) increases

As x decreases, f(x) increases

c)
None of these
d)

As x increases, f(x) decreases

As x decreases, f(x) decreases

5.

What is the axis of symmetry?

a)
y=3
b)
x=3
c)
x=5
d)
x=1
6.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

7.
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
8.

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

a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
9.
Find the vertex of 
f(x) = -x- 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
10.

The x-intercepts of a quadratic equation are also known as the _____.

a)
vertices
b)
squares
c)
zeros
d)
formulas
11.
What are the zeros?
a)

x = 0 and x = -4

b)

x = 0 and x = 4

c)

y = 0

d)

x = 2

12.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

13.

What is the average rate of change from x = 0 to x = 1?

a)
-3
b)
3
c)
0
d)
2
14.
What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.
a)

(0,0)

b)

[0, \infty  ]

c)

y3y\ge3  

d)

(,)\left(-\infty,\infty\right)  

15.
How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
16.

What is the vertex?

a)

(1, -4)

b)

(-4, 1)

c)

(-1, 4)

d)

(-4, -1)

17.

Is the vertex a max or min? y=10x2+2y=-10x^2+2  

a)

Max

b)

Min