# Algebra 2

• May 5th 2012, 06:15 PM
eric132
Algebra 2
True or False. Please explain, give an example, or provide the correct answer to support their choice.

1. y = 2x + 1 is an example of a quadratic equation.

2. ln is a special logarithm where the base equals to 10

3. The graph of y = 2x passes through the point (1, 0).
• May 5th 2012, 07:20 PM
Soroban
Re: Algebra 2
Hello, eric132!

Quote:

True or False.
Please explain, give an example, or provide the correct answer to support their choice.

1. y = 2x + 1 is an example of a quadratic equation. . false

A quadratic equation has a variable to the second power (which is the variable's highest power).

Examples: . $\begin{array}{ccc}y \:=\:2x^2+1 \\ y^2 \:=\:2x+1 \end{array}$

Quote:

2. ln is a special logarithm where the base equals 10. . false

$ln$ is a logarithm with the base e, which is approximately $2.71828...$

Quote:

3. The graph of y = 2x passes through the point (1, 0). . false

$\text{The point }(1, 0)\text{ means: }\:x = 1,\;y = 0$

$\text{Substituting, we get: }\:0 \,=\,2^1\:\text{ which is }not\text{ a true statement.}$

• May 5th 2012, 08:19 PM
Prove It
Re: Algebra 2
Quote:

Originally Posted by Soroban
Hello, eric132!

A quadratic equation has a variable to the second power (which is the variable's highest power).

Examples: . $\begin{array}{ccc}y \:=\:2x^2+1 \\ y^2 \:=\:2x+1 \end{array}$

Actually, every linear function is considered to be a degenerate form of a quadratic equation, just with the coefficient of x^2 being 0.