Trigonometry Examples

${(x - 4)}^{2} = 12 (y - 2)$

Step 1

Solve the equation for $y$ .

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Step 1.1

Rewrite the equation as $12 (y - 2) = {(x - 4)}^{2}$ .

$12 (y - 2) = {(x - 4)}^{2}$

Step 1.2

Divide each term in $12 (y - 2) = {(x - 4)}^{2}$ by $12$ and simplify.

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Step 1.2.1

Divide each term in $12 (y - 2) = {(x - 4)}^{2}$ by $12$ .

$\frac{12 (y - 2)}{12} = \frac{{(x - 4)}^{2}}{12}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $12$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{12 (y - 2)}{12} = \frac{{(x - 4)}^{2}}{12}$

Step 1.2.2.1.2

Divide $y - 2$ by $1$ .

$y - 2 = \frac{{(x - 4)}^{2}}{12}$

Step 1.3

Add $2$ to both sides of the equation.

$y = \frac{{(x - 4)}^{2}}{12} + 2$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $x$ is $2$ and the degree of variable $y$ is $1$ .

Not Linear