Write the equation of the function represented by the parabola in vertex form and in the form y = ax2 + bx + c.

Q: Write the standard form of the quadratic function whose graph is a parabola with vertex (−4, 11) and…

A: Given: A parabola having vertex -4,11 and passing through the point -6,15, To determine: The…

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A: Consider a parabola with the vertex (-3, -13) and any point (0,5). The objective of the problem is…

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 4x²,…

A:

Q: graph the parabola y=(x-5)2-2

A: Consider the given equation

Q: Write the equation of a quadratic function in standard form (y ax + bx + c) that passes through the…

A: The equation of the parabola passes through points and vertex will be,  f(x)=a(x-h)2+k , where…

Q: the standard form of a quadratic function is: y = Ax² + Bx + C Which way does the parabola open if…

A:

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A:

Q: Find the vertex. Give the range of the parabola in interval notation. y=x2-4x-7

A: To find the vertex of the parabola, we use the formula where (h, k) is the vertex of the parabola.…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A:

Q: Determine the vertex of the parabola. f(x)=x2-20x+106

A: Consider the given equation.

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Write in vertex form the equation of a quadratic function with a vertex at (-2, 1) and the point…

A: Algebra  Quadratic equations

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 2x…

A: Let the standard form of parabola is y=A(x-a)2+b ⇒h(x)=A(x-a)2+b, where (a, b)is the vertex. Value…

Q: Complete the square to re-write the quadratic function in vertex form: y = x + x – 2

A:

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: Given, The function  fx = x2-2 We have to find the vertex,  the equation of axis of symmetry and…

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 3x2 -…

A: Vertex form of parabola equationis given byy=ax-h2+kwhere h,k is vertex

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A: To find the standard form of the quadratic function whose graph is a parabola with the given vertex…

Q: Find the equation of the quadratic function q whose graph is shown below. 9 (x) = | %3D (-4,- 1) (-3…

A: The given graph is a parabola. The general equation of a parabola opening upwards is y=a(x-h)2+k,…

Q: Find the equation of a quadratic function whosegraph is a parabola passing through the points(-2,…

A: Let the quadratic equation be y=ax2+bx+c

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: We will solve the following.

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 2x2 -…

A: Given quadratic function, fx=2x2-8x+3 let y=2x2-8x+3 We know that for any parabola in the form…

Q: What are the coordinates of the vertex of the parabola given the function f(x)=x^2+8x-3

A: f(x) = x² + 8x - 3 Let, y = f(x)  So, y = x² + 8x - 3   Next, we will complete the square on the…

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -x2 -…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 3x…

A:

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A: given,       vertex = (5,12)  and passes through the point (7,15)

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 3x…

A: given equations are                                                           f(x)=3x2g(x)=-3x2…

Q: Sketch the graph of the quadratic function. f(x) = x? +2x - 3

A:

Q: Give the domain and the range of the quadratic function whose graph is: The vertex is (-3, -4) and…

A: Domain:   The set of values of x for which function is defined or exist.…

Q: Determine the equation in standard form of the quadratic function shown. mx tb 3=-3+3

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: we have to write an equation in standard form of the parabola that has the same shape as the graph…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the vertex of the parabola f (x) = -2x2 - 24x - 69.

A:

Q: Identify the vertex of the quadratic function f(x)= -4 (x+5)^2-11

A:

Q: Complete the square to re-write the quadratic function in vertex form: y = x + 4x – 2 -

A:

Q: Find the equation of a quadratic function having the x-intercepts a(-4,0) and b(3,0) and passing…

A:

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2(x +…

A: Given: f(x)=-2x+12+5

Q: Give the domain and the range of the quadratic function whose graph is described as : The vertex is…

A: Given, The vertex of parabola is (-1,-2) Parabola opens up.

Q: Find the equation of the quadratic function whosegraph is a parabola containing the points (-1,…

A: Find the equation of the quadratic function whose graph is a parabola containing the points, Given:…

Q: Find the equation of the quadratic functionf whose graph is shown below. (-2, 2) f(+) - I -4+…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 8x…

A: Here we have to write an equation in standard form of the parabola that has the same shape as the…

Q: hello! can you help me with this algebra problem?

A: Let, quadratic function y = ax2+bx+c At x = 0, y = -4, we get -4 = a(0)2+b(0)+c c = -4

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Find the coordinates of the vertex of the quadratic functions beneath:   y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A:

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 2(x -…

A: For y=a(x-h)2+k vertex (h,k)

Q: Write the equation in the standard form of the parabola that has the same shape as the graph of…

A: Write the standard form of parabola and maximise at x=3.