Question 1

Which of the following is the graph of the quadratic parent function?

A.
C.
B.
D.

Question 2

Which of the following is the graph of the absolute value parent function?

A.
C.
B.
D.

Question 3

The graph of the function f(x) = x2 is shown below.

Which of the following would describe the graph of f(x) = -x2 ?

  1. The graph of the parent function is reflected over the x-axis.

  2. The graph of the parent function is reflected over the x-axis.

  3. The graph of the parent function is shifted to the left one unit.

  4. The graph of the parent function is shifted to the right one unit.

Question 4

The graph of y = x2 is shown below.

Which of the following would describe the graph of y = (x − 3)2 + 4?

Question 5

The graph of y = x2 is shown below.

Which of the following is NOT true about the graph of y = -2(x + 1)2?

  1. The graph of the parent function is reflected across the x-axis.

  2. The graph of the parent function is reflected across the y-axis.

  3. The graph of the parent function is vertically stretched by a factor of 2.

  4. The graph of the parent function is shifted to the left one unit.

Question 6

The graph of y = x2 is shown below.

Which of the following is a true statement about the graph of y = 1 4 (x − 5)2 − 7?

Question 7

The graph of y = 3|x| is shown on Graph A.

Which of the following functions is shown on Graph B?

  1. y = |-x|

  2. y = - 1 3 |x|

  3. y = -3|x|

  4. y = -|x|

Question 8

Look at the two functions shown below.

Function A
f(x) = |x − 4| + 8		 Function B
f(x) = 2|x − 2| + 4

Which of the following is a true statement about the functions?

Question 9

The picture below shows the intersection of a plane and a double-napped cone.

Which of the following describes the intersection?

Question 10

The picture below shows the intersection of a plane and a double-napped cone.

Which of the following describes the intersection?

Question 11

Which of the following equations correct describes the parabola shown on the graph below?

  1. y2 − 4x − 6y + 17 = 0

  2. x2 − 6x − 4y + 17 = 0

  3. y2 − 4x + 6y + 17 = 0

  4. y2 − 4x − 6y + 1 = 0

Question 12

Which of the following equations is represented by the graph below?

  1. y = -3(x − 5)2 − 2

  2. y = 3(x + 5)2 − 2

  3. y = -3(x + 5)2 − 2

  4. y = -3(x + 5)2 + 2

Question 13

Which of the following statements is true about the graph of the equation below?

(x − 2)2 + (y + 3)2 = 4

Question 14

Look at the two equations below.

Equation A
(x + 1)2 + (y + 5)2 = 25		 Equation B
(x + 1)2 + (y + 5)2 = 36

How does the graph change from Equation A to Equation B?

Question 15

The graph of = 1 is shown below.

How will the graph change is the equation is changed to = 1?

Question 16

The graph of = 1 is shown below.

How will the graph change if the equation is changed to = 1?

Question 17

The graph of = 1 is shown below.

How will the graph change if the equation is changed to = 1?

Question 18

The graph of = 1 is shown below.

How will the graph change if the equation is changed to = 1?

Question 19

The graph of = 1 is shown below.

How will the graph change if the equation is changed to = 1?

Question 20

Look at the equations of hyperbolas below.

Equation A
= 1
Equation B
= 1

Which of the following is a true statement about the graphs of the two equations?

  1. The graph of Equation A opens in the x-direction, and the graph of Equation B opens in the y-direction.

  2. The graph of Equation A opens in the y-direction, and the graph of Equation B opens in the x-direction.

  3. The graph of Equation A is reflected across the x-axis to create the graph of Equation B.

  4. The graph of Equation A is reflected across the y-axis to create the graph of Equation B.

Question 21

All planets orbit the Sun in elliptical orbits with the Sun as one common focus.

Which of the following is a true statement about the diagram of the elliptical orbit of a planet?

Question 22

The graph of a parabola is shown below.

Which of the following is NOT a true statement about the graph?

  1. The axis of symmetry of the parabola is y = 0.

  2. The distance from the vertex to the focus is greater than the distance from the vertex to the y-axis.

  3. If the vertex is located at (2, 0), then the focus is located at (4, 0).

  4. The vertical distances from the focus to the part parabola above and below the focus are the same.

Question 23

Look at the equations below. The graph of each equation represents a conic section.

Equation A
4x2 + 9y2 − 16x + 90y + 205 = 0

Equation B
2y2 + x − 12y + 10 = 0

Equation C
9x2 − 4y2 + 90x + 32y + 197 = 0

Equation D
x2 + y2 − 10x + 8y +5 = 0

Which of the equations represents a parabola?

Question 24

Look at the equations below. The graph of each equation represents a conic section.

Equation A
25x2 + 9y2 − 200x + 18y + 184 = 0

Equation B
x = y2 − 4y + 3

Equation C
x2 − y2 + 4x + 16y − 69 = 0

Equation D
x2 + y2 + 4x − 5 = 0

Which of the equations represents a circle?

Question 25

Look at the equations below. The graph of each equation represents a conic section.

Equation A
36x2 + 9y2 − 216x = 0

Equation B
y = 3x2 + 17

Equation C
3x2 − 4y2 = 17

Equation D
x2 + y2 = 49

Which of the equations represents a ellipse?

Question 26

Joe's garden is twice as long as it is wide. If Joe increases the width by 3 feet on each end and the length by 2 feet on each end, the area of the enlarged space can be expressed by the equation y = (x + 6)(2x + 4) or y = 2(x + 4)2 − 8. The graph of this function is shown below.

If Joe decides to only increase the width by 1.5 feet on each side and only increase the length by 1 foot on each side, how will the graph change?

Question 27

The graph of y = √x is shown below.

Which of the following shows a vertical stretch of the function?

A.
C.
B.
D.

Question 28

Graph A is the graph of y = a(b)x.

Graph B is the graph of y = a(b)x-h + k.

Which of the following functions is shown in Graph B?

  1. y = 2(x+3) + 1

  2. y = 2(x−3) + 1

  3. y = 2(x+3) − 1

  4. y = 2(x−3) − 1