What is the axis x^2-6x+5y=-34 ?

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axis x^2-6x+5y=-34

axis

x^{2} - 6 x + 5 y = - 34

x = 3

Solution steps

x^{2} - 6 x + 5 y = - 34

Rewrite

x^{2} - 6 x + 5 y = - 34

in the standard form

4 (- \frac{5}{4}) (y - (- 5)) = (x - 3)^{2}

Therefore parabola properties are:

(h, k) = (3, - 5), p = - \frac{5}{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 = 3

f (x) = x^{2} - 2 x - 3

y + x^{2} = 4 x

\frac{x ^{2}}{36} - \frac{y ^{2}}{9} = 1

x^{2} = 8 y

y^{2} = 32 x