3. Write the function defined by fx) = -2x2- 12x in vertex form and identify the vertex of the parabola. %3!

Q: when is the vertex of a parabola the minimun point? When is it the maximum point

A: Given query is to find that when is the vertex of a parabola the minimun point? When is it the…

Q: Find the vertex of the parabola which is the graph of  f(x) =3x2+5x-2 without a calculator.

A:

Q: Write the equation of the parabola that has the same shape as f(x) = - 7x but with vertex (- 6,4) in…

A: Topic- equation of parabola

Q: Which point on the graph of the parabola y = 5x² has the minimum distance between the graph and the…

A:

Q: Express the following function in vertex form. y=3x2+6x-13

A: We have given the function

Q: Find the vertex of the parabola. f(x) = 2x + 16x + 39 (х, у) %3

A: We have to find vertex

Q: a. y = x² – 2x – 8 y 2.

A: Consider the given quadratic equation y=x2-2x-8 To plot a graph, make a table of values by assuming…

Q: Write an equation for the parabola graphed below. 7- -8 -7 -6 -5 -4 -3 -Þ -1 1 2 3 4 5 6 7 8 -3 -4…

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 vertex form of the parabola that has the same shape as the graph of f(x)= 4x²…

A:

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

A: Explanation: Given that,  Vertex of the parabola is (-3,-4) Parabola opens downward.

Q: Without graphing, locate the vertex and axis of symmetry of the parabola defined by f(x)=-3x2+6x+1…

A: Given- fx=-3x2+6x+1 To locate- locate the vertex and axis of symmetry of the parabola defined by the…

Q: Find the vertex of the parabola answer must be an ordered pair F(x)=2x2-8x+3

A: We will find the vertex by comparing with standard form of quadratic parabola.

Q: what would the interpret for the solution for the graphed systerm?

A: The point at which the lines intersect is the intersection point.

Q: If 13, b2 is a point on the graph of y = 4x + 1, what is b?

A: The given equation of the line is, y=4x+1 It is given that the point 13,b2 is on the graph of the…

Q: In the function y = ax², how would the parabola look when a = 6.5 compared to how it looks when a =…

A:

Q: Give the domain and the range of the quadratic function whose graph is described as : Minimum = 18…

A: We have to find domain and range of the quadratic function whose graph has minimum 18 at x=-6

Q: Write the equation of the parabola that has the same shape as f(x) = 3x² but with vertex (7,6) in…

A:

Q: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: Write the equation of the parabola that has the same shape as f(x) = - 6x but with vertex (- 5,3) in…

A:

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: Graph the function ?(?)=?2+2?−10f(x)=x2+2x−10by using completing the square to rewrite in vertex…

A:

Q: Which point on the graph of the parabola y 4x has the minimum distance between the graph and the…

A:

Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

A: f(x)=-10x2The new parabola has vertex (5,7)

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: What is the maximum area of a rectangle that is above the X- axis and below the graph of the…

A:

Q: Determine the equation of the parabola graphed below. 5 4 3 2 1 0 1 2 3 4 5 6 7

A:

Q: Is the graph of r(x)=4x3−2x2+9x−2 concave up or down at the point with x-coordinate −1?

A: Given          r(x) = 4 x³ - 2x² + 9x - 2 For checking concave up or down we have to differentiate…

Q: Write the equation of the parabola that has the same shape as f(x) = 9x´ but with vertex (- 2,3) in…

A:

Q: Find the best parabola to fit the data points: (-1,1), (1, –1), (2,0), (3,0).

A: The given points are (-1,1),(1,-1),(2,0),(3,0).

Q: Write the standard form of the quadratic function whose graph is the parabola shown.

A:

Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

A:

Q: If (3, b) is a point on the graph of y = 4x + 1, what is b?

A: The given function is y=4x+1. (3, b) is a point on the graph.

Q: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

A:

Q: Identify the vertex of the parabola F(x) = (x - 9)2 - 7

A:

Q: If (1,b) is a point on the graph of y=2x+7, what is​ b?

A:

Q: Graph the following quadratic relation y = -;(x – 1)² + 2 without using a table of values. Include…

A: Given relation is, y=-1/2(x-1)2+2

Q: Where the graph y = x^3 − 3x^2 + 2x − 10 is concave up and concave down?

A:

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

A:

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: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

A:

Q: Describe the graph of f(x) = 2x2 + 8x+7 and identify the vertex. %3D

A:

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

A:

Q: What is the vertex of the parabola      y=(x-1)2-9?

A: Given the equation of parabola

Q: Sketch the graph of y = x 2 - 6x + 8 by plotting the roots and the minimum point.

A: For a quadratic equation of the form ax2 + bx + c = 0✦ a> 0 ⇒ parabola is concave upwards.✦ a…

Q: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

A: The solution is as shown below

Q: 4 3 1 -3 -2 -1 0 1 2 3 4 -1

A: