-10 -5 10- 5- 0 --5- -10- 15 (0,-16) 5 10

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Q: determine the equation of this parabola

A: The general form of the parabola is y=ax-h2+k where h,k is the vertex of the parabola.

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

Q: 8) and directrix y = 7? A B y = -(x - 5)² +8 - y=- 1 -(x + 5)² +8 y = -(x + 5)² - 8 D_y==(x + 5)² +8…

A: Given query is to find the equation of the parabola.

Q: Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct…

A: Given that, the equation of the parabola is 6y2+10x=0 6y2+10x=06y2=-10xy2=-10x6y2=-4512x Compare the…

Q: 5 4 3 -NW 2 1 -6-5-4-3-2-1₁ 1 2 3 4 5 6 7 8 (6, 1) -2 3 -4 -5 6 ф м (2,-4) (2,-5)

A: Given Graph:-

Q: Write an equation for each hyperbola. : 45. vertices at (0, 6), (0, -6); asymptotes y = ± ½ x

A: Given: 1. Vertices of hyperbola are at (0,6) and (0,-6).  (Which indicate that given hyperbola is…

Q: Find an equation of the parabola with vertex (- 3, 4) and focus (1, 4)

A:

Q: Question Find the intersection points of the parabola y = 2x2 + 3x + 3 and the line 3x – y = -11.…

A:

Q: Find the equation of a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: 6) Write an equation of the parabola with the vertex (3, -1) and the focus (3, -5).

A: Equation of parabola is

Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: Determine an equation for the parabola whose vertex is (- 2, 3) and goes through the point (4, - 6)

A: Given (h, k)=(-2, 3) and parabola passes through (4, -6).

Q: determine an equation for the blue parabola in standard form

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Q: mark the vertex of the parabola

A:

Q: -6 -4 -2 + I B. r I ↓ . I y -9 4- 2- -2- A -9- 0 A. y = (x - 1)² - 2 y = 4(x - 1)² - 2 F . -~ 2 · I…

A:

Q: Write the equation of two different parabolas that have a vertex of (3,-1), and that pass through…

A: Vertex is ( 3 , -1 )  and point (0, 2 ) So Now equation of parabola is given by    y = a ( x - h )2…

Q: Determine the equation of a parabola

A: Substituting the point origin, in standard equation we get value of directrix. Then we can find…

Q: 12. focus: (2,0) directrix: x = -2 directrix: x = -6 vertex: (0, 0) focus: (-4, 0) directrix: x=4…

A: