-1 -2 |(1, -2) -3 -6 -8 -9 -10 -4 -3 -2 Enter the rule for the quadratic function shown in the graph above. gx) =

Q: 14.What are the zeros of the function represented by the quadratic equation g (x) = 2x ?

A: Given that gx=2x2 find the zeros of the function

Q: 3. Find expressions for the quadratic functions whose graphs are shown. (-2, 2), (0, 1) (4, 2)

A: Given that:

Q: The Range of the quadratic function f(x) = -x² + 18x + 52 is O [-9, 00) O [52, 0) O (0,9] O (-∞0,…

A:

Q: Find the equation of the quadratic function f whose graph is shown below. -4 -2 2. (§. -2) 10 12 14…

A: The quadratic form of a cuvre in vertex form is represented by  y = a(x-h)^2 + k  where (h,k) is the…

Q: Find a quadratic function f whose graph matches the one below. f(x) =D (-2,3) (0,1) of

A:

Q: The Range of the quadratic function f(x) = -x² + 9x + 53 is O (0,4] O (-∞,53] O [53, ) O [-53, 4] O…

A: This question is based on finding range of quadratic function which is a downward opening parabola

Q: 26.) What is the vertex of the given quadratic function? y = x2 – 8x + 23 A) (3,4) B (4,3) C)…

A: The given quadratic function,     y=x2-8x+23

Q: 40. Express the quadratic function f(x) = x2 - x - 6 in vertex form, and sketch its graph (showing…

A:

Q: 11.What are the zeros of the function represented by the quadratic equa g (x) =- (x-4)?

A:

Q: The vertex of the parabola f(x) = x2 + 20x + 3 is О (-30, -97) O (-20,-97) о (-20,-20) О (-10, -94)…

A: Given Parabola is y=f(x)=x2+20x+3 find the vertex of the parabola

Q: 3 . Write the quadratic function C(x) - x -x- 57 in vertex f c(x) c(x) = (x- 1) - 6 リ4 c(x) - c(x) -…

A:

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: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: [4] Find the equation of the quadratic function that has a vertex at (-2, 6) and contains the point…

A:

Q: - Classify the quadratic forms below. 9(x1)? - 8x1x2 + 3(x2)? b. -5(x,)² + 4x,x,- 2(x,)2 a.

A: Here is the solution of the given problem. Quadratic Forms:

Q: The graph of the quadratic function f(x) = cx2 + d has a vertex at (0,8) and passes through the…

A:

Q: The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.…

A: We know that ,  The fundamental theorem of algebra states that you will have n roots for an nth…

Q: Find the equation of the quadratic function f whose graph is shown below. -6 4 -2 (3, – 2) 10 12 -2-…

A:

Q: Find the equation of the quadratic function f whose graph is shown below. 10- 8- 6- f(x) = 0 (6, 3)…

A: We will solve it by two different methods

Q: Find the standard form f(x) = a(x – h)? + k and an X -intercept of the quadratic function that has a…

A:

Q: Find the vertex of the graph of the quadratic function. -x2+12x-36 O a. (-6, -6) а. O b. (0, 6) О с.…

A: y = a(x-h)2+k  vertex (h,k)  we use completing square method

Q: Find the equation of the quadratic function g whose graph is shown below. (3, 2) -2 10 12 -2 g (x) =…

A: The graph shown is of downward parabola with vertex at (3, 2) and passes through the point (6, -7)…

Q: find the vertex of the quadratic function a. f(x)= 3(x+1)^2-4 b. f(x)= 2x^2-12x+1

A: The quadratic equation represents the equation of a parabola.The vertex of the parabola in the form…

Q: Write the quadratic function in the form f(x) = a(x - h) + k. 81 14 -8 -7 -6 - -4 -3 -2 I 2 3 4 5 6…

A: Given: Vertex of the given graph is at (h,k)=(-3,-7) and quadratic equation y=a(x-h)2+k

Q: 4. a. Construct a quadratic function with zeros at x = 1 and x = 2. b. Is there more than one…

A:

Q: Find the equation of the quadratic function f whose graph is shown below. -2 10 12 7 (3, – 2) -2-…

A: Given, Graph of quadratic function is passing through the points 3, -2  and 5, -10  We have to find…

Q: The vertex of the parabola f(x) = x2 + 14x + 4 is о (-21, -45) о (-7, -45) о (-14, -21) о (-14, —45)…

A: The given parabolic equation is   f(x) = x2 + 14x + 4 the given equation of parabola is in the…

Q: 21. Find the discriminant of the quadratic function f(x) = x² + 18x + 81. O 648 O 324 O -324

A:

Q: The Range of the quadratic function f(x) =-² +24r + 55 is O (-55, 12] O (-00, 55] O [55, 00) О (),…

A:

Q: Find the equation of the quadratic function f whose graph is shown below. (3, 4) 4 2- | (4. 1) |f(4)…

A:

Q: Determine the quadratic function f(x) = ax + bx + c, whose graph is given. 2. 10 (-1, 4) 主 -10 10 x

A: We have to find quadratic function by graph.

Q: Find the equation of the quadratic function f whose graph is shown below. 10 12 14- (5,-2) (6,-4)…

A: Given graph of quadratic function is

Q: Find the equation of the quadratic function f whose graph is shown below. (2, 7) (3, 4) )- 0 ID

A: This question can be solved using the general equation of parabola.

Q: Which quadratic function matches this graph? O f(x) = x² − 14x +45 O f(x)=x²- 11x + 28 O f(x) = x² +…

A: As per our guidelines we have to answer the first question if multiple questions are posted at a…

Q: Find the vertex of the graph of the quadratic function. f (x) = -x² + 12r – 36 O (0, 6) O (-6,0) O…

A: Given quadratic function

Q: The vertex of the quadratic function f(x) = 2x² – 8x + 11 is a) (2,3) b) (-2,-3) c) (-2,3) d) (2,-3)…

A:

Q: the vertex of Quadratic function f( x ) = 2x2 - 4x +1 is : Select one: a. (1,-1) b. (-1,1) O c. (-1,…

A: We will find the vertex by completing the square

Q: 10. Find the quadratic function for which the vertex is (-1,2) and contains the point (1,6)

A: Solve for the equation

Q: 4. Sketch the graph of the quadratic relation y = x² and in a different colour the graph of y = 2(x…

A:

Q: The vertex of the quadratic function f(x)= (x+6)^2 -2 is

A: The general form of the quadratic function is, y=ax-h2+k Here, (h,k) is the vertex. Consider the…

Q: The vertex of the parabola f(x) = x² + 14x + 4 is о (-7, -41) о (-21, —45) о (-14, -45) о (-7, -45)…

A: As we know that the vertex of a parabola f(x)=ax2+bx+c is : Vertex=-b2a,f-b2a

Q: Find expressions for the quadratic functions whose graphsare shown.

A: Given

Q: 14. State the x-intercepts of the quadratic relation y = -2(x+1)(x- 2). 14. a) 1 and -2 b) -2, 1,…

A: The X intercepts of a quadratic function y=f(x) are the values of x for which y=0.

Q: Graph the quadratic function. 18. f(x)=-2(x+6) +4 19. f(x)=x-6x +8 20 f(x)=-2x² -24x-67

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: 1. Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and…

A: Given Problem:-  Find the y-intercept of a quadratic function containing the following points:…

Q: 2. Which of the following represents the y-intercept of the graph of the quadratic function y= 2x² –…

A:

Q: Find the equation of the quadratic function f whose graph is shown below. 10- 8- 6- (-) = [| %3D (6,…

A:

Q: Determine the rule of the quadratic function represented in the graph below. |(0,0) (-5,-20),…

A:

Q: 4. Find the equation of the quadratic function determined from the graph below.

A:

Q: 1. Determine the equation in standard form of the quadratic function shown. 在 (-2,0) (3.0) (4, -3)…

A: Equation of the quadratic equation.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.