Question
Findtheequationoftheaxisofsymmetryfortheparabolay = –5x2 − 2x.
Simplify any numbers and write them as proper fractions, improper fractions, or integers.
Simplify any numbers and write them as proper fractions, improper fractions, or integers.
Answers
GPT 3.5
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.
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.