What is the axis y=((x+7)^2)/9 ?

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axis y=((x+7)^2)/9

axis

y = \frac{( x + 7 ) ^{2}}{9}

x = - 7

Solution steps

y = \frac{( x + 7 ) ^{2}}{9}

Rewrite

y = \frac{( x + 7 ) ^{2}}{9}

in the standard form:

4 \cdot \frac{9}{4} (y - 0) = (x - (- 7))^{2}

Therefore parabola properties are:

(h, k) = (- 7, 0), p = \frac{9}{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 = - 7

y = + 4 x^{2} + 7

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

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

y = x^{2} + 7 x - 30

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