Identify the type of conic section that is represented by the equation y^2- 1 = 4(x-7). DUE IN 2 HOURS, will give BRAINLIEST! A. Circle B. Hyperbola C. Parabola D. Ellipse

Answer:
Solution : Parabola
Step-by-step explanation:
As you can see only one variable is square in this situation, so it can only be a parabola. We can prove that it is a parabola however by converting it into standard form (x - h)^2 + (y - k)^2.
[tex]y^2-1=4\left(x-7\right) = y^2-1=4\left(x-7\right)[/tex]
Respectively it's properties would be as follows,
[tex]\left(h,\:k\right)=\left(\frac{27}{4},\:0\right),\:p=1[/tex]