What is the axis y=2.1+4.4x-0.7x^2 ?

The axis y=2.1+4.4x-0.7x^2 is x=3.14285…

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axis y=2.1+4.4x-0.7x^2

axis

y = 2.1 + 4.4 x - 0.7 x^{2}

x = 3.14285 \dots

Solution steps

y = 2.1 + 4.4 x - 0.7 x^{2}

Rewrite

y = 2.1 + 4.4 x - 0.7 x^{2}

in the standard form

4 (- 0.35714 \dots) (y - 9.01428 \dots) = (x - 3.14285 \dots)^{2}

Therefore parabola properties are:

(h, k) = (3.14285 \dots, 9.01428 \dots), p = - 0.35714 \dots

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 = 3.14285 \dots

y = 2 x^{2} + 15 x

y = x^{2} - x - 12

x = (3 y - 1)^{2}

y = \frac{( - 7 x + 3 ) ( 9 x + 4 )}{24}

0 = (y - 1)^{2} - 16 (x + 4)