6. Find the vertex of the following quadratic and then write it in vertex form. y = x² – 6x + 14 Vertex Vertex form

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 14x + 47 Vertex…

A:

Q: Find the vertex of the parabola Y= 6X^2.+24X + 18 O (6, 2) O (2, 6) O (2,-6) O (2, 6)

A: We have to find

Q: If the vertex of the parabola y = -2x² + k + 3 has a y-coordinate of 11, determine all possible…

A: According to the given information it is required to find value of k where y=-2x2 +k+3 and given…

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: Find the vertex and the x-intercepts (if any) of the parabola. (If an answer does not exist, enter…

A:

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: Put the quadratic into vertex form and state the coordinates of the vertex. y = x´ + 12x + 20 Vertex…

A: The given quadratic equation is  y = x2 + 12x + 20

Q: The vertex of the parabola y = 5x? – 40x + 83

A: Given,         y=5x2-40x+83We know that,        The vertex of the parabola y=ax2+bx+c is given by…

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

A: Draw the parabola y=7-x^2.

Q: Convert the following equation into vertex form by completing the square. x2 - 18x +21 O (z- 8) + 21…

A: The explanation of answer as follows

Q: 18. A) Complete the square for y = 2x² − 12x – 14 B) Determine the coordinates of the vertex. Is it…

A:

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function

A: We will first express the equation of the parabola in the standard form: y = f(x) = ax2 + bx + c. x…

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: 10. Use any method to rewrite y = – 2x? + 12x – 14 into Vertex Form. a) Identify the vertex. b) What…

A: Given function :

Q: vertex form for y=x^2+4x+6

A: Topic:-  parabola equation in vertex form

Q: the vertex of y=1/2x2 + 2x

A:

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

A: Topic = Application of Derivative

Q: Determine the vertex of the following quadratic y = -5x² – 10x – 7

A: The given Quadratic represent a parabola. Its vertex is the point where line of symmetry intersect…

Q: and c so that the graph of the quadratic equa- ax + bx + c passes through the points (-2

A:

Q: Find the vertex of the parabola. y = 3x² - 1 О (0, (0, –1) O (-1, 3) O (-1, 0) (3, –1) (0, 3)

A: topic - parabola

Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 9) are

A:

Q: the vertex of y= -x2+6x+1

A: standard equation of parabola y=a(x-h)2+k  vertex (h,k)

Q: If the vertex of the parabolay=−2x2+k+ 3 has y-coordinate 11, determine the possible values for k.

A:

Q: 1. Identify the vertex of the following quadratic and state whether the vertex describes a minimum…

A:

Q: 28. Sketch the graph of 2x + 4y + 3z 12.

A:

Q: Determine the vertex for the following parabola. f (x) = 7x2 + 3x – 4 -

A:

Q: Find the x intercepts and the coordinates of the vertex for the parabola y = x^2 + 4x -21. If there…

A:

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

A:

Q: 1. Complete the following Chart. Vertex Form Standard Form Factored Form Vertex x-intercept…

A:

Q: 30. Find the vertex of the parabola y = 4x² – 4x + 3 a. 0.5,2 b. 0.5,-2 C. -0.5, 2 d. -0.5, -2

A: I have draw the graph of parabola and find that Vertex=(0.5, 2)  Hence option (a) is correct

Q: Help with this?

A: Take out -2 common from the x2  term and then complete the square

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

A:

Q: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

A:

Q: The Vertex and the value of p'of the given parabola (x – 4)2 = 12(y – 7) are | - Vertex = (-4, –7);…

A: Use vertex form of parabola

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x²+2x+3. If there is…

A: Given :y=-x2+2x+3

Q: If the vertex of the parabola y = −2x^2 + k + 3 has a y-coordinate of 11, determine all possible…

A:

Q: Find b and c so that y = 8x² + bx + c has vertex (7,5). b C =

A: Here given that y=8x2+bx+c and has the vertex at the point (7,5) since the line of symmetry is the…

Q: 28. For the following quadratic, find the vertex and axis of symmetry. Then, make an x-y table using…

A: The given quadratic equation is: y=-2x2+8x-3

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

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

Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

Q: For a quadratic in standard formf (x) = ax² + bx + c with vertex (h, k), determine tl values. h = […

A: we have to find h and k

Q: For the three points ( 1,5), (2,9) and (-1, 7), find a quadratic model y = ax + bx + c through the…

A:

Q: 5) Write the equation of the given parabola in VERTEX FORM.

A: Given that: Graph of a parabola.

Q: Consider the parabola y = -3x2+42x-150.  What is the vertex (-7,-3) (-7,3) (7,-3) (7,3)

A:

Q: Find the x-intercept(s) and the coordinates of the yertex for the parabola y =x´ +4x+4. If there is…

A: The given parabola is: y=x2+4x+4 To find the x-intercept and the coordinate of the vertex for the…

Q: 3) Find the and directix f vertex, 7ocus. parabola y-x²+4x=8) the

A: The solution of the problem is given in the next step.

Q: 5. Complete the square and write into graphing form: a. y= x² – 2x +2 b. y = 2x – 4x - -

A:

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: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´-8x+12. If there is…

A:

Q: .2 5t²+14t+3%3D0

A: Since you have posted a multiple number of question. we will solve first question here. To get…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.