What is the axis y=x^2+3x-4 ?

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axis y=x^2+3x-4

axis

y = x^{2} + 3 x - 4

x = - \frac{3}{2}

Solution steps

y = x^{2} + 3 x - 4

Rewrite

y = x^{2} + 3 x - 4

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{25}{4})) = (x - (- \frac{3}{2}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{3}{2}, - \frac{25}{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 = 2 x^{2} - 2

y = x^{2} - 13 x + 40

y = x^{2} + 2 x - 15

y = - \frac{( x + 3 ) ^{2}}{20} + 1

F = \frac{m v ^{2}}{r}