For Exercises 51-52, find an equation of the form y = ax? + bx + c that defines the parabola through the three noncollinear points given. 51. (0, 6), (2, -6), (-1, 9) 52. (0, -4), (2, -6), (-3, –31)

Q: A parabola has vertex (2,4.8) and one x-intercept is (3,0). The other x-intercept is (?,0)

A:

Q: A parabola of y=x^2 has been regraphed and now sits with each side plotted at (-3,5) and (3,5) and…

A:

Q: What is the axis of symmetry of the parabola y= 1/4(x-1)^2 -3 1.(1,3) 2.(-1,-3) 3.(1/4,-3)…

A:

Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of (0, 231), which…

A:

Q: What is the general equation of a parabola that opens upward with V(-1,2)?

A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…

Q: "What is the families of the curve of all Parabolas with axis parallel to the x-axis

A:

Q: Suppose that point A(-2, -1) lies on a parabola with horizontal principal axis and whose vertex is…

A: Suppose that point A(-2, -1) lies on a parabola with horizontal principal axis and whose vertex is…

Q: What is the equation in vertex form of a parabola with a vertex of (-3, 4) that passes through the…

A:

Q: How can I find a quadratic equation, that's in standard form, with a, b, and c all in terms of a?…

A: ax2+bx+c=0 be a quadratic equation let f(x)=ax2+bx+c, and we have given two points (1,1) and (3,7)…

Q: For Exercises 67–70, identify the equation as representing an ellipse or a hyperbola, and match the…

A: To Determine: identify the equation as representing an ellipse or a hyperbola and match the equation…

Q: 10 Write the equation of the parabola that has "a" value -1 and vertex (-2, 5) ?/1

A: Given  Vertex : (-2,5) a=-1

Q: Write the equation of the parabola in vertex or intercept form. 11. 12. YA (1, 25) (4, 6) 10 -2-…

A: Let's find.

Q: What is the equation of the parabola which has vertex (1,2) and y-intercept y = 1?

A: See the details solution in below

Q: 13. Write the equation of the parabola with x- intercepts at ( 3,0) and (9,0) that passes through…

A:

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

A:

Q: Whatwillbethenewpositionofthegivenpoint(3,-5)afterreflectionacross the y-axis?

A: Reflection

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

A:

Q: How to write the equation of the parabola with a vertex of (0,0) and axis of symmetry the y- axis;…

A: We have to write the equation of parabola with vertex (0,0) and a point in the parabola that is…

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: Which is the equation of a parabola that has x-intercepts at (2,0) and (-6, 0)?

A:

Q: 5) Find the equation for the parabola that has its vertex at (5,-3), axis parallel to the y-axis,…

A: given,         vertex of parabola =5,-3  and passing through the point 9,5

Q: Exercises 74-76 will help you prepare for the material covered in the next section. 74. If x = 3, y…

A: Hello. Since your question has multiple parts, we will solve the first parts for you. If you want…

Q: Draw the parabolic path of the bird based on the given data. Black Bird • Vertex: (14,25) • Maximum…

A:

Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…

A:

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: 7. Write the equation of the parabola in vertex or intercept form. ya(2) -1, 0) (2, 0) (0, -4)

A: Here we have to find equation of given parabola.

Q: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

A:

Q: 1. What is the equation of the line to the parabola y = x2 + 5x +1 through the 15 point at

A: Given, Parabola  y=x2+5x+1 Point 12, 154

Q: Find the equation of a parabola that has a vertex of (-2, -1) and contains the point (0, 3).…

A:

Q: Find the equation of a parabola that has a vertex of (7, -4) and contains the point (0, 94),…

A:

Q: Which is the domain and range of the parabola with the equation y = 0.5(x² - 8x - 6)? OD: (-∞0,00);…

A:

Q: 2 What are the intersection points of the parabola given by the equation y = x“ – 9 and the line…

A: We are answering only the first question as per our honor code. Given, The equation of a parabola…

Q: One tiny insectAis crawling rightward along thex-axis, and another insectBis crawlingupward along…

A: Given: A is moving through the point (12,0) with speed 6, and B is moving through the point (0,5)…

Q: Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated…

A: Find your answer below

Q: What are the intersection points of the parabola given by the equation y = x2 – 9 and the line given…

A:

Q: What is the equation of the parabola with vertex (1, –11) and that passes through (–4, 64)?

A:

Q: The value of the "x" coordinate of each point of intersection between the parabola of the equation…

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: What point on the parabola y = 5-x is closest to the point (5,5)? The point on the parabola y = 5- x…

A:

Q: 2. Suppose that the graph of y = ax²+bx+c is a parabola which vertex is V (-3, 7), what is the…

A:

Q: Suppose a parabola has symmetry with respect to the line x = 3. If (8, 19) is a point of the graph,…

A: Given that : A parabola has symmetry with respect to the line x = 3.    If  (8,19) is a point of the…

Q: If we have a parabola with an axis of symmetry of x = 9 and it contains the point (-3, -12), what…

A: Given taht parabola is symmetric about the line x= 9

Q: 10. At what point on the parabola y = 3 x 2 + 2xisthetangentlineparallel totheline y = 10x -2? Use…

A: Given query is to find the point where tangent line to the parabola is parallel to the given line.

Q: Find the Equation of a Quadratic (Parabola) Given 3 Points y=a^2+bx+c (0,0), (-3,3), (3,3) Also,…

A:

Q: Suppose the axis of a parabola is parallel to the yy-axis and passing through the points (0,3),…

A: Given that, the axis of a parabola is parallel to the y-axis. Let the Vertex of the parabola (h, k)…

Q: Find the equation of the line tangent to (a) The parabola z = 2x² - 3y², y = 1 at the point (-2,1,5)…

A: Given: we have to find equation of tangent lines   equation of tangent line : y-y1=m(x-x1)

Q: [4] What is the equation of a parabola with a vertex of (-3, 2) and a focus of (-3,-1)?

A: Yhave asked multiple questions and not mentioned which question answer you need so according to…