Find the X and Y Intercepts y=3x^2

$y = 3 x^{2}$

Find the x-intercepts.

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To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = 3 x^{2}$

Solve the equation.

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Rewrite the equation as $3 x^{2} = 0$ .

$3 x^{2} = 0$

Divide each term by $3$ and simplify.

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Divide each term in $3 x^{2} = 0$ by $3$ .

$\frac{3 x^{2}}{3} = \frac{0}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 x^{2}}{3} = \frac{0}{3}$

Divide $x^{2}$ by $1$ .

$x^{2} = \frac{0}{3}$

Divide $0$ by $3$ .

$x^{2} = 0$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{0}$

The complete solution is the result of both the positive and negative portions of the solution.

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Simplify the right side of the equation.

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Rewrite $0$ as $0^{2}$ .

$x = \pm \sqrt{0^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$x = \pm 0$

$\pm 0$ is equal to $0$ .

$x = 0$

x-intercept(s) in point form.

x-intercept(s): $(0, 0)$

Find the y-intercepts.

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To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

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

Solve the equation.

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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 $0$ .

$y = 0$

y-intercept(s) in point form.

y-intercept(s): $(0, 0)$

List the intersections.

x-intercept(s): $(0, 0)$

y-intercept(s): $(0, 0)$

Find the X and Y Intercepts y=3x^2

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