Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)? 3. y= x + 3)2 + 7 F y = x + 3)2 - 7 3, y = x - 3)2 + 7 3 y = x- 3)2 - 7

Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  Vertex: (2/3 ,…

A:

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: b) Draw the parabola with a minimum value of -8, zeros at 2 and -2 and y – intercept of -8.

A: Answer

Q: What are the coordinates for the vertex of the parabola y = 3x2 - 6x- 1? O (1,-4) O (1,4) 0(-1,4)…

A: answer is option A.)   explanation is given in below step

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

A:

Q: find all the points having an x-coordinate of 1 whose distance from the point (-3,-1) is 5.

A: Suppose that the points are of the form (x, y) where given that x = 1. So, the points are (1, y).

Q: Find the points of intersection of the graphs of 2x 3y = -2 and 4.x – y = 6. %3D

A:

Q: 7. Determine all values of a that will cause the parabola y=ax² +10x+1 to cross the x-axis at two…

A: 7) y=ax2+10x+1 ...................eq (1) For parabola to cross the x- axis put y=0 0=ax2+10x+1…

Q: 5. Write the equation of a parabola that takes a maximum value of 4 at r = -2.

A: We need to find equation of parabola.

Q: What is the vertex of y = Vx + 4+1 O (4, -1) O (4, 1) O (-4, 1) O (-4, -1)

A:

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: A ball is kicked and after 2 seconds it reaches a maximum height of 21 m. At 3 seconds it reaches a…

A: 1.We can solve the problem by simply substituting the values as we can see that they gave 2…

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: A parabola has an equation of axis of symmetry as x = 3, and it's optimal value is (-7) if the…

A: Axis of symmetry is:  x = 3 Optimal value is:  - 7 Therefore the vertex of the parabola is:  (h, k)…

Q: A parabola with vertex (2, –3)and y-intercept (0, 5) can be expressed in vertex form as f(x) = (x –…

A:

Q: Parabola has an equation of symmetry as x = 3,and it's optimal value is (-7) if the parabola passes…

A: We are given that the optimal value is -7 that means it can be either the maximum or the minimum…

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-…

A: Solving two equations

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: # 3) Create the equation of the cubic, in standard form, that has x-intercepts of 3, -1, and 2…

A:

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

A:

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

A: Given   Vertex of a parabola (x,y)=(-5,6)           Y- intercept c=231

Q: The parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

Q: Identify the x-intercept(s) of this parabola. 10 8- 6- 4- -6 -2 2. 6 -4 O (3. 0)

A: x-intercept is the point where the graph crosses the x-axis.

Q: 5. Find the equation of the parabola that has a horizontal axis of symmetry, passing through the…

A: the general equation of a parabola is x=ay2+by+c                            (1) horizontal axis…

Q: Find two solutions of y = x - 4 38 Point 1: (2, y) Point 2: (x, y) → Then graph: 51 4 3 2 4 5 -5 4…

A:

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: Find the rule of the quadratic funtcion whose graph satifies the following conditions: The vertex is…

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 best parabola ax2 + bx + c that passes through the points(with minimial square error) (0,…

A:

Q: Which is an equation with a degree of 4, zeros located at (4, 0) and (3, 0) and a y-intercept…

A:

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

A:

Q: Another constraint you can use to compute cubic splines is that the second derivatives of adjoining…

A: Consider the cubic polynomial  fx=⋮ai-1x3+bi-1x2+ci-1x+di-1, x∈(xi-1,xi]aix3+bix2+cix+di…

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: How do I solve this optimization problem?

A:

Q: 4 Determine whether the straight air routes with equations x-=-3 and x =-5 are 2 intersecting or…

A: Given,  The equation of the straight lines are x - y/2 = -3  and x = -5

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

A:

Q: ress 3x² + y² + 2z² + 6x – 4y

A: Given,            3x2+y2+2z2+6x-4y-12z+26=0

Q: 10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b, –5), and line…

A: Given lines r and t are parallel

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: Find the equation of a parabola that has a vertex of (2, -4) and contains the point (1, -7).…

A: Given  Vertex of parabola (2,-4)  And contains the points (1,-7)

Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-2y=4?

A:

Q: Find an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and…

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has…

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: 3. Express the quadratic in vertex form. Make sure to clearly show every step in completing the…

A: Given equation is y=2x2-12x+16 express it in vertex form

Q: Determine the coefficients a, b, and c of the parabola y = ax² + bx +c that passes through the point…

A: Solution is here