What is the axis y=5x(2x+4)-3x ?

The axis y=5x(2x+4)-3x is x=-17/20

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axis y=5x(2x+4)-3x

axis

y = 5 x (2 x + 4) - 3 x

x = - \frac{17}{20}

Solution steps

y = 5 x (2 x + 4) - 3 x

Rewrite

y = 5 x (2 x + 4) - 3 x

in the standard form

4 \cdot \frac{1}{40} (y - (- \frac{289}{40})) = (x - (- \frac{17}{20}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{17}{20}, - \frac{289}{40}), p = \frac{1}{40}

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{17}{20}

y = 4 x^{2} - 6

y = x^{2} - 4 x 3

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

y = 8 x^{2} + 16 x + 3

y = x^{2} - 5 x - 24