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Linear Quadratic Cubic

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Which of the following quadratic equations best represents the following data?

a)

y = 7x2 - 3x

b)

y = 3x2 - 2x + 1

c)

y = 6x2 + 3x - 2

d)

y = 7x2 - 3x + 1

2.

Based on the table, which function can best be used to model this situation?

a)

h(t) = 99t2 + 858

b)

h(t) = -4.9t2 + 295t + 0.6

c)

h(t) = -4.9t2 + 295t + 2

d)

h(t) = 99t2 + 1,470.3

3.

Find the best fitting quadratic model for the data given.

a)

2x2 + 13x + 504.3

b)

12x2 + 13x + 504.3

c)

.12x2 + 1.3x + 504.3

4.

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.

a)

2029

b)

2014

c)

2003

d)

8753

5.

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.

a)

y = 61.93x - 1.79

b)

y = -1.79x + 61.93

c)

y = 0.016x + 0.03

d)

y = 0.03x + 0.016

6.

Which function belongs to this graph?

a)

y=12x+4y=-\frac{1}{2}x+4

b)

y=24x4y=\frac{2}{4}x-4

c)

y=12x+4y=\frac{1}{2}x+4

d)

y=x+4y=-x+4

7.

Which is a linear function?

a)

y=3x2xy=3x^2-x

b)

x=5x=5

c)

y2=13(x+5)y-2=\frac{1}{3}\left(x+5\right)

d)

y=x+x3y=x+x^3

8.

The x-intercepts of the cubic function f(x)=(x1)(x4)(x+2)f\left(x\right)=\left(x-1\right)\left(x-4\right)\left(x+2\right) are:

a)

( 1, 0)

( 4, 0)

( 2, 0)

b)

( -1, 0)

( 4, 0)

( 2, 0)

c)

( 1, 0)

( 4, 0)

( -2, 0)

d)

( -1, 0)

( -4, 0)

( -2, 0)

9.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

10.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)2 + 5

b)

y = 2(x + 4)2 + 5

c)

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

d)

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

11.

Which of the following is the equation of the cubic function graphed above

a)

y=(x1)3+4y=-\left(x-1\right)^3+4

b)

y=(x1)3+4y=\left(x-1\right)^3+4

c)

y=(x+1)3+4y=-\left(x+1\right)^3+4

d)

y=(x+1)3+4y=\left(x+1\right)^3+4

12.

Which of the following is the equation for the cubic function graphed above

a)

y=(x+4)3+3y=\left(x+4\right)^3+3

b)

y=(x+4)33y=\left(x+4\right)^3-3

c)

y=(x4)3+3y=\left(x-4\right)^3+3

d)

y=(x4)33y=\left(x-4\right)^3-3

13.

Which equation matches the graph? (Click me to see the image)

a)

y = 2x + 2

b)

y = 1/4x + 2

c)

y = 1x + 4

d)

y = 4x + 2

14.

Which equation represents the graph?

a)

y = 3x + 15

b)

y = 1/5 x + 15

c)

y = -1/5 x + 3

d)

y = 15x + 3

15.

y = (x - 2)2 + 2 y = (x + 2)2 + 2 y = (x - 2)2 - 2 y = -(x - 2)2 + 2

a)

y = (x - 2)2 + 2

b)

y = (x + 2)2 + 2

c)

y = (x - 2)2 - 2

d)

y = -(x - 2)2 + 2

16.
a)
b)
c)
d)
17.

What is the axis of symmetry for this function: (x+4)2-5

a)

x= 4

b)

x=-4

c)

x= 5

d)

x= -5

18.

Which of the following graphs represents the quadratic function above?

a)
b)
c)
d)
19.

Which of the following graphs represents the quadratic function above?

a)
b)
c)
d)
20.

Which is the graph of cubic function y=(x3)(x2+2x3)y=\left(x-3\right)\left(x^2+2x-3\right)

a)

b)

c)

d)