1. ## 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).

2. ## Re: Algebra 2

Hello, eric132!

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

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

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

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

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

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

3. ## Re: Algebra 2

Originally Posted by Soroban
Hello, eric132!

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

Examples: .$\displaystyle \begin{array}{ccc}y \:=\:2x^2+1 \\ y^2 \:=\:2x+1 \end{array}$
Actually, every linear function is considered to be a degenerate form of a quadratic equation, just with the coefficient of x^2 being 0.