Algebra Examples

$y \geq x^{2} - 4$ $y \leq - 2 x^{2} + 7 x + 4$

Step 1

Graph $y \geq x^{2} - 4$ .

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

$y \geq x^{2} - 4$

Step 2

Graph $y \leq - 2 x^{2} + 7 x + 4$ .

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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 solid line, then shade the area below the boundary line since $y$ is less than $- 2 x^{2} + 7 x + 4$ .

$y \leq - 2 x^{2} + 7 x + 4$

Step 3

Plot each graph on the same coordinate system.

$y \geq x^{2} - 4$

$y \leq - 2 x^{2} + 7 x + 4$

Step 4