Find Three Ordered Pair Solutions y=3x^2

$y = 3 x^{2}$

Choose any value for $x$ that is in the domain to plug into the equation.

Choose $0$ to substitute in for $x$ to find the ordered pair.

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Remove parentheses.

$y = 3 {(0)}^{2}$

Simplify $3 {(0)}^{2}$ .

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Raising $0$ to any positive power yields $0$ .

$y = 3 \cdot 0$

Multiply $3$ by $0$ .

$y = 0$

Use the $x$ and $y$ values to form the ordered pair.

$(0, 0)$

Choose $1$ to substitute in for $x$ to find the ordered pair.

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Remove parentheses.

$y = 3 {(1)}^{2}$

Simplify $3 {(1)}^{2}$ .

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One to any power is one.

$y = 3 \cdot 1$

Multiply $3$ by $1$ .

$y = 3$

Use the $x$ and $y$ values to form the ordered pair.

$(1, 3)$

Choose $2$ to substitute in for $x$ to find the ordered pair.

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Remove parentheses.

$y = 3 {(2)}^{2}$

Simplify $3 {(2)}^{2}$ .

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Raise $2$ to the power of $2$ .

$y = 3 \cdot 4$

Multiply $3$ by $4$ .

$y = 12$

Use the $x$ and $y$ values to form the ordered pair.

$(2, 12)$

These are three possible solutions to the equation.

$(0, 0), (1, 3), (2, 12)$

Find Three Ordered Pair Solutions y=3x^2

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