Question

1. The function h(x) has the shape of a parabola has a focus of (-7,-4) and directrixat y = -1Determine the equation of h(x) in standard form by correctly choosing the symbols andnumbers from the math bank.Help ASAP

Answer 1

Let P (x, y) be any point on the parabola whose focus is (-7,-4,) and the directrix y+1 = 0.

As we already know that the distance of a point P from focus = distance of a point P from directrix

$\sqrt[=]{(y+1)^2}\text{ =}\sqrt[+]{(x+7)^2+(x+4)^2}$$(y+1)^2=(x+7)^2+(x+4)^2$$y^2+1+2y=x^2+7x+49+x^2+16+4x$$y^2+2y=2x^2+11x+64$$y(y+2)=2x^2+11x+64$$y=\frac{2x^2+11x+64}{y+2}$