Find the standard form of the equation of the parabola with a focus at (-4, 0) and a directrix at x = 4.

Step-by-step explanation:

Equation of the Parabola

The standard form of the parabola with the axis of symmetry parallel to the y-axis, vertex at (h.k) and directrix y=k-p is

If the parabola has its axis of symmetry parallel to the x-axis, vertex at (h.k) and directrix x=h-p is

The focus of this form of the parabola is located at (h+p,k)

The parabola described in the question belongs to the second form since the directrix is at x=4. We also know that the focus is at (-4,0). We can find the values of h and p by equating

Adding up both  equations

then

The vertex is (h,k)=(0,0)

We can now write the equation of the parabola as

Simplifying

y = x + 95

y = 42 + 95

y=137 mm hg

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this