Algebra Examples

$y^{2} - x^{2} \leq 1$ $y > x^{2} - 4 x + 4$

Step 1

Cannot graph imaginary numbers.

$y^{2} - x^{2} \leq 1$

Step 2

Graph $y > x^{2} - 4 x + 4$ .

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Step 2.1

The equation is not linear, so a constant slope does not exist.

Not Linear

Step 2.2

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $x^{2} - 4 x + 4$ .

$y > x^{2} - 4 x + 4$

Step 3

Plot each graph on the same coordinate system.

$y^{2} - x^{2} \leq 1$

$y > x^{2} - 4 x + 4$

Step 4