The axis of symmetry of a parabola is the line x = 6. What is the x-coordinate of the vertex of the parabola?

x-coordinate of the vertex: h = 6.

Step-by-step explanation:

The axis of symmetry is an imaginary line that divides the graph of a parabola into two congruent parts.  The vertex of a parabola, (h, k) is the point where the graph intersects the axis of symmetry.

In the standard form of quadratic equation, y = ax² + bx + c:

In the vertex form of quadratic function, y = a(x - h)²+ k:

Hence, the axis of symmetry is the point where x = h.  

Given these definitions, we can infer that the x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex, where h = 6.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

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step-by-step explanation: