2. If Ahmed is older than Salim, and the product of their ages is 477 and the sum is 62, find the followings: a. Ahmed and Salim ages by solving quadratic equation by using General Formula. b. Graph the parabola of quadratic function.

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

A: Here given an equation of the parabola

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

A:

Q: What is the vertex of the following quadratic equation? y = x +8x O (-4, 16) O (4, -16) O (4, 16) O…

A: It can be expressed as the general form of parabola.

Q: If Ahmed is older than Salim, and the product of their ages is 477 and the sum is 62, find the…

A: Let, age of Ahmed= x , age of Salim = y  So , xy=477 and (x+y)=62    From x+y=62 we get y=62-x Plug…

Q: 8. Use the quadratic formula to determine each of the roots of -7x - 23x = - 10 to two decimal…

A:

Q: Without graphing what is the vertex of the quadratic function 2x^2-8x+8

A: Topic = Functions

Q: 4.) х -5x2 + 6х

A:

Q: If the x term or the (x-h) term in the equation is squared, the parabola opens up or down. O True O…

A: TRUE Proceed as explained below...

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

A: We compare  f(x) = 3x2 - 12x + 1 with  f(x) = ax2 +bx + c  So, a=3, b=-12, c=1

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

A: Given quadratic function f(x) = -2(x + 4)2 - 8     ...(1)

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

A:

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: 3. A quadratic function will produce a parabola as a graph because A quadratic function will produce…

A: A quadratic function will produce a parabola as a graph

Q: Sketch the graph of the following quadratic function by method of factoring or Quadratic formula to…

A:

Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

A: NOTE: Refresh your page if you can't see any equations. . width of the rectangle is  and the length…

Q: If Ahmed is older than Salim, and the product of their ages is 477 and the sum is 62, find the…

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: 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: Solve for the range and axis of symmetry of the given quadratic functions

A: To Solve for the range and axis of symmetry of the given quadratic functions4) y=x2+5x-145)…

Q: Determine the quadratic function for the given graph. 15 (-3, 0) (5, 0) -20 (0, –30) (1, –32) -40

A: The standard form of a quadratic function is fx=ax2+bx+c.

Q: 4. a. Use the vertex formula to determine the vertex of f(x) = 2x + 12x + 19. b. Based on the…

A:

Q: Which equation represents the graph of a quadratic function that has a vertex located at (-3, -1)?…

A: To find: The equation of quadratic function that have vertex located at -3,-1. Formula used: The…

Q: Solve the quadratic by looking at the graph. 10+ 4 2 10 -9 8 -7 6 -5 4 -3 -2 -1 i 2 345 67 8 9 1c

A: Given:

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

A: The given quadratic function f(x) = -2x2 + 8x - 1   Known fact: The standard form of the quadratic…

Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: The standard form of the quadratic function is fx=ax2+bx+c, where x is a variable and a, b and c are…

Q: ind the x-intercept(s) and the coordinates of the vertex for the parabola y=-x´-10x-25. If there is…

A:

Q: For each problem: a.) write each cubic in factored form b.) find all 3 roots (x-intercepts) c.)…

A:

Q: 13. Graph the following quadratic functions identifying and labeling the coordinates of the…

A: The given equation is fx=-2x2-5x+1.

Q: If the age of Ali is bigger than Sara in which the addition of age of Ali and Sara is equal (24 +…

A:

Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

A:

Q: Show that the sum of the roots of a quadratic equation is - b/a

A: To show that the sum of the roots of a quadratic equation is -ba.

Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

Q: 2. The murderer's height, in inches, is equal to the y-intercept of a parabola with roots of -2 and…

A: The roots of the parabola are -2 and -32. The murderer's height is equal to the y-intercept of a…

Q: If the vertex of the parabola f (x)= x² +bx+c is at (7, -4), find b and c. (Note: a = 1).

A:

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=6-x² What is the…

A:

Q: the value of a in y=ax^2+bx+c and the vertex of the parabola are given. how many x-intercepts does…

A:

Q: . Find the equation of the parabola with x-intercepts -7 and 3, and that 2, -11). Express your…

A: Given parabola has two x-intercepts, (-7, 0) and (3, 0). Clearly its either upward or downward…

Q: A rectangle is inscribed with its base on the ?x-axis and its upper corners on the parabola y=2−x^2.…

A: Given, The equation of the parabola is y=2-x2

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: of Find the solution(s) to the quadratic equation using the graph below. 10 -10 -5 10 -10 X= Blank…

A: x=3 x=9

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: The rectangle has its base on the x-axis and its other two vertices above the x-axis and lying on…

Q: 2.) x' +7x² -18x

A:

Q: 13. Graph the following quadratic functions identifying and labeling the coordinates of the…

A: y=-2x2-5x+1 first we find  out the x intercept Replace y with 0  and solve for x 0=-2x2-5x+1Apply…

Q: If a and 3 are the roots of the quadratic 3x2 – 4x + 6 = 0, find the value of

A:

Q: Solve the following quadratic by Completing the Square. x² – 12x – 17 = 0

A:

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

A: We have to find coordinates of the vertex for the parabola defined by quadratic function:…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.