Findtheequationoftheaxisofsymmetryfortheparabolay = –5x2 − 2x.

Simplify any numbers and write them as proper fractions, improper fractions, or integers.

1 answer

To find the equation of the axis of symmetry for the parabola, we use the formula x = -b/2a where the equation of the parabola is in the form y = ax^2 + bx + c.

In this case, the equation is y = -5x^2 - 2x.

So, a = -5 and b = -2.

Now, we can find the x-coordinate of the vertex by using x = -(-2) / (2*(-5)) = 2 / -10 = -1/5.

Therefore, the equation of the axis of symmetry is x = -1/5.
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