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Find the equation of the axis of symmetry for the parabola y=x^2 Simplify any numbers and write them as proper fractions improper fractions, or integers. square

Problemas

Find the equation of the axis of symmetry for the parabola y=x^2
Simplify any numbers and write them as proper fractions improper fractions, or integers.
square

Find the equation of the axis of symmetry for the parabola y=x^2 Simplify any numbers and write them as proper fractions improper fractions, or integers. square

Solución

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Hugomaestro · Tutor durante 5 años
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The equation of the axis of symmetry for the given parabola is \(x = 0\).

Explicar

## Step 1<br />The given equation is \(y = x^2\). This is a quadratic equation in the form \(y = ax^2 + bx + c\), where \(a\), \(b\), and \(c\) are constants. In this case, \(a = 1\), \(b = 0\), and \(c = 0\).<br /><br />## Step 2<br />The axis of symmetry for a parabola given by the equation \(y = ax^2 + bx + c\) is given by the formula \(x = -\frac{b}{2a}\).<br /><br />## Step 3<br />Substitute the values of \(a\) and \(b\) into the formula. Here, \(a = 1\) and \(b = 0\).<br /><br />### \(x = -\frac{0}{2*1} = 0\)
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