What is the axis y=6x^2-37x-35 ?

The axis y=6x^2-37x-35 is x= 37/12

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axis y=6x^2-37x-35

axis

y = 6 x^{2} - 37 x - 35

x = \frac{37}{12}

Solution steps

y = 6 x^{2} - 37 x - 35

Rewrite

y = 6 x^{2} - 37 x - 35

in the standard form

4 \cdot \frac{1}{24} (y - (- \frac{2209}{24})) = (x - \frac{37}{12})^{2}

Therefore parabola properties are:

(h, k) = (\frac{37}{12}, - \frac{2209}{24}), p = \frac{1}{24}

Parabola is of the form

4 p (y - k) = (x - h)^{2}

and is symmetric around the

y

-axis

Axis of symmetry is a line parallel to the

y

-axis which intersects the vertex:

x = \frac{37}{12}

y = (x - 7)^{2}

y = 5 x^{2} + 2 x - 4

y = 2 x^{2} - x - 10

y = 3 x^{2} + 2 x + 6

x^{2} = - \frac{4}{5} (y - 2)