# Hotmath

Title:
Hotmath
Author:
Hotmath
Chapter: Relations and Functions Section: Quadratic Functions

Problem: 1

Does the parabola y = 7 x 2 open up or down ?

Problem: 3

Does the parabola y = –3 x 2 + 4 open up or down ?

Problem: 5

Does the parabola y = –5 x 2 – 6 open up or down ?

Problem: 7

Does the parabola y = –4 x 2 + 36 x open up or down ?

Problem: 9

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

Problem: 11

Obtain the coordinates of the vertex of y = 5 x 2 . 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 = 4 x 2 – 14 x . 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 = 8 x 2 + 4 x + 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 = 3 x 2

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 = x 2 + 4 x +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 = x 2 – 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 = 3 x 2 + 18 x +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 = x 2 –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 = –2 x 2 – 4 x + 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 ) = –5 x 2

Problem: 35

Graph the given function and state the domain and range.

f ( x ) = 4 x 2

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 ) = x 2 – 2