2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4 Ov=-²+2-2 Oy=x² + 4x + 4 Oy=x²-x+6

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

A:

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: What is the vertex equation of a parabola with a vertex at (-5,-8) that has been reflected about the…

A: It is given that the vertex of the parabola is -5,-8. It is given that the equation of 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: Find the equation of parabola given these three points using quadratic formula. (1,27) (18,45)…

A:

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Suppose a parabola has vertex (-8, -7) and also passes through the point (-7, -4). Write the…

A:

Q: 66. One parabola at the right has the equation y-&-4)+ 2. Which equation represents the second…

A: Solution is given as below:

Q: Determine the vertices of the hyperbola 9x2-16y2-18x-96y+9=0.

A:

Q: 9. The endpoints of the latus rectum of the parabola (y + 2)2 A. (-1,0) and (-1,–4) B. (1,0) and (1,…

A: A lotuc rectum of a parabola isbthe chord that passes through the focus,is perpendicular to the…

Q: 9. Find the equation in factored form for a parabola that has zeros -4, and 8, and passes through…

A: let the general equation of parabola is y=ax2+bx+c -4 is one of the zero of the parabola ,…

Q: t is the equation of this parabola?

A: Given that, A  parabola has a vertex of (3,-2) and a y-intercept of 7.

Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

A:

Q: True or False The equation 3x2 + Bxy + 12y2 = 10defines a parabola if B = - 12.

A: It is known that ax2+bxy+cy2+d=0 represents the parabola if b2-4ac=0.

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

A: Equation of parabola is

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: 6. Write the equation y = x² - 4x + 2 in vertex form.

A: Given, y=x2-4x+2

Q: Suppose a parabola has an axis of symmetry at x = 8, a maximum height of 1 and also passes through…

A:

Q: 7. Write an equation for each parabola a) 0, 11) 8- 4- (4, –5) b) | YA |(-6, 4) 4- (-5.3) 2 -6 -2 0…

A:

Q: The parabola in the figure below has an equation of the form y = ax2 + bx - 4. Find the equation of…

A:

Q: Determine the equation of the parabola whose vertex is at the origin, with a vertical axis, and…

A: Given that the vertex of the parabola is origin.Therefore:  (h, k)=(0, 0)

Q: Find the foci of the ellipse. 5x^2-20x+2y^2+12y=-28. The answers are 1. (-2+ square root of 3, 3)…

A: Consider the equation of ellipse

Q: 18. What is the equation of the parabola with x-intercepts 1 and 3, and that passes through the…

A: Given: The x-intercepts of the parabola are 1 and 3.And the parabola passes through -1, 16. To…

Q: 3. Find the equation of the parabola through the point (6,-5) if its vertex is at origin and its…

A: