Algebra Examples

y > x^{2} + 3 x - 4

$y > x^{2} + 3 x - 4$

y < - x^{2} - x + 2

$y < - x^{2} - x + 2$

Step 1

Graph

y > x^{2} + 3 x - 4

$y > x^{2} + 3 x - 4$ .

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Step 1.1

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

Not Linear

Step 1.2

Graph a dashed line, then shade the area above the boundary line since

y

$y$ is greater than

x^{2} + 3 x - 4

$x^{2} + 3 x - 4$ .

y > x^{2} + 3 x - 4

$y > x^{2} + 3 x - 4$

y > x^{2} + 3 x - 4

$y > x^{2} + 3 x - 4$

Step 2

Graph

y < - x^{2} - x + 2

$y < - x^{2} - x + 2$ .

Tap for more steps...

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 below the boundary line since

y

$y$ is less than

- x^{2} - x + 2

$- x^{2} - x + 2$ .

y < - x^{2} - x + 2

$y < - x^{2} - x + 2$

y < - x^{2} - x + 2

$y < - x^{2} - x + 2$

Step 3

Plot each graph on the same coordinate system.

y > x^{2} + 3 x - 4

$y > x^{2} + 3 x - 4$

y < - x^{2} - x + 2

$y < - x^{2} - x + 2$

Step 4