20. Anthony wanted to find the vertex of the following quadratic equation, X- sixteen x + fifteen = 0, so he rewrote it in graphing (vertex) form. Which of the following equations is the correct form? A) 2(x+ 8) + 49 = 0 B) (x-16)² - 49 = 0 C) (x- 8)² +15 = 0 D) (x-8)² - 49 = 0

Q: 1. Consider the quadratic equation y = x² – 4x. If we graph the equation, where are the x-intercepts…

A: Given,  The quadratic equation   y =x2-4x  We have to find the x intercept and x coordinate of…

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: 2) x+y<2 6x + y2-3

A:

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: 2. Erica changed y = 2x² + 5x - 7 into vertex form. Explain each step in her solution below. y =…

A: We will carefully observe all the steps first and explain it.

Q: given a vertex of (-3,4) what is the equation of this quadratic in vertex form?

A: The point is (-3,4) To find the equation of the quadratic in vertex form.

Q: 11. A store sells about 40 video game systems each month when it charges $200 per system. For each…

A: Given  vertex form

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: What are the vertex and axis of symmetry of the parabola y = x² - 16x + 63? O A. vertex: (-8, -1);…

A:

Q: What is the equation in vertex form of a parabola with a vertex of (-3, 4) that passes through the…

A:

Q: How can I find a quadratic equation, that's in standard form, with a, b, and c all in terms of a?…

A: ax2+bx+c=0 be a quadratic equation let f(x)=ax2+bx+c, and we have given two points (1,1) and (3,7)…

Q: у-ахis 7 6+ 5- 4- 3. 2 x-axis -3 -2 -1 1 2 3 4 5 6 7 What is the equation in general form of the…

A:

Q: 10 Write the equation of the parabola that has "a" value -1 and vertex (-2, 5) ?/1

A: Given  Vertex : (-2,5) a=-1

Q: A parabola has an equation of axis of symmetry as x = 3, and it's optimal value is (-7) if the…

A: Axis of symmetry is:  x = 3 Optimal value is:  - 7 Therefore the vertex of the parabola is:  (h, k)…

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

A:

Q: Parabola has an equation of symmetry as x = 3,and it's optimal value is (-7) if the parabola passes…

A: We are given that the optimal value is -7 that means it can be either the maximum or the minimum…

Q: 6. a. Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero,…

A:

Q: If the discriminant of a quadratic equation is 4, then the equation has Select an answer If the…

A: We have to find the number of solutions based in discriminant.

Q: # 3) Create the equation of the cubic, in standard form, that has x-intercepts of 3, -1, and 2…

A:

Q: Determine the vertex, axis of symmetry, zeros, and y-intercept of the parabola shown below. 10 8- 7-…

A: We are given the following graph.

Q: 2. Select the coordinates of the vertex for the quadratic relation. a. (0, 5) b. (2, 4) c. (1, 1) d.…

A: Given, The quadratic equation  y=-0.5x2+5 We have to find the coordinates of the vertex for the…

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

A:

Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2х-4-0

A: To Find: the roots of the following by completing the square: 5x2-2x-4=0.

Q: Identify the x-intercept(s) of this parabola. 10 8- 6- 4- -6 -2 2. 6 -4 O (3. 0)

A: x-intercept is the point where the graph crosses the x-axis.

Q: Draw the given optimization problem and solve. Find the area of the largest rectangle (in units)…

A: Since, We have to find area of the largest rectangle that fits into the triangle which sides form by…

Q: Is 3m+8=15 is quadratic?

A: Quadratic Equation: The Quadratic equation is defined as a polynomial whose highest degree is 2.…

Q: Your dog is hyper and needs to go for a walk around the block. If your block is rectangular and the…

A: Solution ) walk around the rectangular block = perimeter of rectangle perimeter of rectangle = 2 ( a…

Q: 2. What is the vertex of the parabola y = (x + 6) - 9?

A: the general equation of the parabola = (x-a)^2 = 4 c (y-b)  where a and b are the vertices of the…

Q: Help with this?

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

Q: 2 what is the equation in standard form? { (o, 2) (2,10) (-2,6) 3 what is the equation in vertex…

A:

Q: 7. Write the equation of the parabola in vertex or intercept form. ya(2) -1, 0) (2, 0) (0, -4)

A: Here we have to find equation of given parabola.

Q: What is the equation of the parabola with the optimal value of -135 and with the zeros of 8 and -6

A: Zeros of the parabola are 8 and -6. Soy = a(x-8)(x+6)  ---{1}We need to calculate the vertex of the…

Q: 4) A business manager estimates that the cost of manufacturing x items each day is represented by…

A:

Q: Do you wholly agree with the statement that “the domain and range of a quadratic equation will be…

A: The quadratic function is of form  f(x) =ax2+bx+c the graph of a quadratic function F(x) is called…

Q: Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated…

A: Find your answer below

Q: The value of the "x" coordinate of each point of intersection between the parabola of the equation…

A:

Q: I don't understand how to solve for a vertex.  Ex) Complete the square and determine the vertex for…

A: Given,

Q: y 2. 10 *.. 8 6- 2 2. B...10 21-

A: Solution: The vertex of a parabola is the highest or lowest point, also known as the maximum or…

Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

Q: Show that,the area bounded by the parabola y^2 =4ax and a double ordinate is two third of the…

A: Let the parabola be y2=4ax Also let x =b be any double ordinate.Since the curve is symmetric about…

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: The parabola y = kx2 – 3x + (k+2) has two distinct real roots. What set of values can k be?

A:

Q: What do the quadratic coefficients b and c represent in the last grap

A: To explain what the quadratic coefficient represents in the given graph.

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-2y=4?

A:

Q: Find the maximum and minimum values of the quadratic form 9z2 + 4y? +3z2 subject to the constraint z…

A: Use the Langanges's method of undetermined multiplied 9x2+4y2+3z2+λx2+y2+z2-1=0 Differentiate the…

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: 10. At what point on the parabola y = 3 x 2 + 2xisthetangentlineparallel totheline y = 10x -2? Use…

A: Given query is to find the point where tangent line to the parabola is parallel to the given line.

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: .2 5t²+14t+3%3D0

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

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.