What is the axis y=x^2+3x-70 ?

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axis y=x^2+3x-70

axis

y = x^{2} + 3 x - 70

x = - \frac{3}{2}

Solution steps

y = x^{2} + 3 x - 70

Rewrite

y = x^{2} + 3 x - 70

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{289}{4})) = (x - (- \frac{3}{2}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{3}{2}, - \frac{289}{4}), p = \frac{1}{4}

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{3}{2}

y = (7 x - 3)^{2}

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

y = x^{2} - x - 6

y^{2} - 10 y - 12 x + 37 = 0

y = - 12 x^{2} - 29 x + 230