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

Identify the type of conic section that is represented by the equation y2 1 4x7 DUE IN 2 HOURS will give BRAINLIEST A Circle B Hyperbola C Parabola D Ellipse class=

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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]

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