In the problem stated,we are asked to convert 1.42 g/cm^2 to mg/mm^2 . From the units given, 1 gram is equal to 1000 milligrams and 1 centimeter is equal to 10 millimeters. We square the second conversion to take consideration of the squaring of cm. in this case, the conversion is 1.42 g/cm2 * (1000 mg/1g)*(1 cm / 10 mm)^2 equal to 14.2 g/mm2
The general vertex form of the a quadratic function is y = (x - h)^2 + k.
In this form, the vertex is (h,k) and the axis of symmetry is x = h.
Then, you only need to compare the vertex form of g(x) with the general vertex form of the parabole to conclude the vertex point and the axis of symmetry.
g(x) = 5(x-1)^2 - 5 => h = 1 and k = - 5 => theis vertex = (1, -5), and the axis of symmetry is the straight line x = 1.
<span>Answer: the vertex is (1,-5) and the symmetry axis is x = 1.</span>