8. The equation of parabola with vertex (0,0), passing through (-2,8) and axis that coincides with the y-axis is a. (x-2)2 = (y+8) b. y² = ½ x c. x² = ½ y d. (x+2) = 2 (y-8)

Q: A line passes through the center of a circle and intersects it at points (-1,2) and (5,10). What is…

A: equation of line passing through points (x1, y1) and (x2, y2) is:  y-y1=y2-y1x2-x1(x-x1)    Equation…

Q: x- - Consider the equations 2x + 4y = 8 and y = 10. Select the point where the graphs of these two…

A: Point of intersection is the point which lies on both lines, simply they are values of x and y that…

Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

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: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

A:

Q: A parabola has its vertex at (2,1) and crosses the x-axis at (1,0) and at (3,0). Which of the…

A:

Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: What is the equation of the parabola that has a max of (2,3), and passes through point (, -1)?

A:

Q: Can you do a parabola with the starting point being (0,0)

A: Given a parabola with equation y=x2

Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

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

A:

Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

Q: Write the equation of a parabola that has a vertex at the point (5, -4).

A: Given, Vertex=(h,k)=(5,-4)

Q: 7. Find the equation of the parabola in standard form vertex at the origin passing through the point…

A: The equation of the parabola in vertex form with vertex (h.k) is y = a(x-h)2+k Here the vertex is at…

Q: Which equation is best to use to determine the zeros of the graph of y = 4z² – 8z – 5? - O (2r +…

A: Simply factories the given expression and equate to zero.

Q: Write the equation of the circle in standard form, (x - h)2 + (y - k)2 = r2. (r-(O) + (- - (O) - 2

A: The equation of circle in standard form is x-h2+y-k2=r2, where (h,k) is the center and r is the…

Q: Find an equation for the set of  all possible vertex points of a parabola that has an x-intercept at…

A: Consider that the origin (0, 0) is shifted to a point (h, k). Thus, any point (x, y) will be shifted…

Q: parabola passes through (15,0) (25,30) (35,80). find the equation of the parabola in the form…

A: Given: A parabola passes through (15,0) (25,30) (35,80). To find:- The equation of the parabola in…

Q: y=-2(x + 5)² y = -2(x - 5)² y = 2(x - 5)² is the equation of the parabola with vertex (0,4) and…

A: Topic:- geometry and parabola

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

A:

Q: I 13. Write two quadratic equations that are NOT equivalent, each forming a graph with x-intercepts…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

A: