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Hotmath Practice Problems

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Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Relations and FunctionsSection:Quadratic Functions
 

Problem: 1

Does the parabola y = 7x2 open up or down?

 

Problem: 3

Does the parabola y = –3x2 + 4 open up or down?

 

Problem: 5

Does the parabola y = –5x2 – 6 open up or down?

 

Problem: 7

Does the parabola y = –4x2 + 36x open up or down?

 

Problem: 9

Does the parabola y = 2xx2 open up or down?

 

Problem: 11

Obtain the coordinates of the vertex of y = 5x2. Use the x–values to the left and to the right of the vertex to prepare a table of values.

 

Problem: 13

Obtain the coordinates of the vertex of y = 4x2 – 14x. Use the x–values to the left and to the right of the vertex to prepare a table of values.

 

Problem: 15

Obtain the coordinates of the vertex of y = 8x2 + 4x + 2. Use the x–values to the left and to the right of the vertex to prepare a table of values.

 

Problem: 17

Find the equation of the axis of symmetry, along with the coordinates of the vertex of the graph, for the following equation. Find whether the vertex is a maximum or minimum, and then graph the equation.

y = 3x2

 

Problem: 19

Find the equation of the axis of symmetry along with the coordinates of the vertex of the graph for the following equation. Find whether the vertex is a maximum or minimum and then graph the equation.

y = x2 + 4x +14

 

Problem: 21

Find the equation of the axis of symmetry along with the coordinates of the vertex of the graph for the following equation. Find whether the vertex is a maximum or minimum and then graph the equation.

y = x2 – 7

 

Problem: 23

Find the equation of the axis of symmetry along with the coordinates of the vertex of the graph for the following equation. Find whether the vertex is a maximum or minimum and then graph the equation.

y = 3x2 + 18x +10

 

Problem: 25

Find the equation of the axis of symmetry along with the coordinates of the vertex of the graph for the following equation. Find whether the vertex is a maximum or minimum and then graph the equation.

y = x2 –16

 

Problem: 27

Find the equation of the axis of symmetry along with the coordinates of the vertex of the graph for the following equation. Find whether the vertex is a maximum or minimum and then graph the equation.

y = –2x2 – 4x + 8

 

Problem: 29

Find the equation of the axis of symmetry along with the coordinates of the vertex of the graph for the following equation. Find whether the vertex is a maximum or minimum and then graph the equation.

y = 2(x + 1)2 – 16

 

Problem: 31

Find the equation of the axis of symmetry along with the coordinates of the vertex of the graph for the following equation. Find whether the vertex is a maximum or minimum and then graph the equation.

 

Problem: 33

Graph the given function and state the domain and range.

f(x) = –5x2

 

Problem: 35

Graph the given function and state the domain and range.

f(x) = 4x2

 

Problem: 37

Graph the given function and state the domain and range.

 

Problem: 39

Graph the given function and state the domain and range.

f(x) = x2 – 2