how do i find the vertex with the axis of symmetry? f(x)=(x-4)^2-9   that is (x-4) squared..

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A: Since, we have been given the path of driver by :-f(X)=Y=-49X2+249X +9 -(i)Our aim is to find the…

Q: Use the method of completing the square to express f(x) = 3x - 24x + 58 in vertex form. %3D

A:

Q: An apple orchard produces a profit of $40 per tree when planted with 3200 trees. Owing to…

A: Let number of tree is x Profit peer tree is equal to 40-0.04x-3200 Hence, total profit Px is…

Q: how to identify the new quadratic function/s?

A: Using definition of quadratic function.

Q: The daily profit in dollars of a specialty cake shop is described by the function…

A: Given:

Q: use graphs to find approximate solutions 3 - 2-x = 0

A: The equation is 3 - 2 - x = 0 By combine like terms 1 - x = 0 That is x = 1

Q: Find the points of intersection of the graphs of 2x 3y = -2 and 4.x – y = 6. %3D

A:

Q: Consider the Quadratic function f(x) = 2x² – 2x - 60. Its vertex is ). > Next Question

A: f(x)= 2x2-2x-60  Find the vertex of f(x)

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: Given, The function  fx = x2-2 We have to find the vertex,  the equation of axis of symmetry and…

Q: The quadratic function y = 2x² + 3x - 20 has zeroes at x = -4 and x Use this information to find the…

A:

Q: What is the maximum value of the quadratic function f ( x ) = − 3x^2 − 18 x − 10 ?

A:

Q: 2. For the quadratic relation, y= -(x+0) (x + 6) explain how to find Equation of the axis of…

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Q: Find the dimensions of the rectangle of maximum area having two vertices on the x-axis and 2…

A: Let the rectangle has its two vertices on x-axis and remaining two vertices on the parabola y=4-x2.…

Q: What is the y intercept of 9-3x over x-5? What is the domain of this fraction

A:

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: We will solve the following.

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: Explain, . the process of completing the square on a quadratic function with leading coefficient 1,…

A: x2+bxMultiply and divide 'bx' term by 2x2+2bx2=x2+2b2x

Q: Find a formula for the quadratic function whose graph has vertex (-2,5) and y-intercept -6. f(x) = .…

A:

Q: 2. Previously you solved a problem in which the profits of a company in millions of dollars were…

A: Given that, the profit function is fx=-x2+10x-10. It is known that, the vertex of the quadratic…

Q: What is the vertex of g (x) = 2x? %3D

A:

Q: - Discuss the maximum and minimum of x + y +6x+12. .2

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Q: What are the steps on graphing quadratic functions with equations in standard form

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Q: 2. What does the discriminant tell us about a quadratic function? Explain the three possible cases.

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Q: why does the graph of y=square root(-1-x) move by 1 to the left instead of to the right? I thought…

A: Consider the given function:

Q: y = 4 + x2" Find the vertices of the rectangle with maximum area. Vertices =

A: A rectangle has one side on the axis and other  two verices on the curvey=81+x2

Q: What is the vertex of g (x) = (x + 3)+3?

A:

Q: Find the relative minimum point, maximum point, point of inflection and Sketch the graph of the…

A: Here, we need to find the relative minimum point, maximum point, point of inflection of the function…

Q: Find the vertex of f(x) = x² – 6x + 3 by completing the square. Show your work.

A:

Q: Find the rule of the quadratic funtcion whose graph satifies the following conditions: The vertex is…

A:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by  P(x)=…

A: First of all, consider the given function P (x) which shows relation between the profit of a tour…

Q: 2x - 8(x)^1/3

A: Given: 2x-8 x3 To find: The oblique or slant asymptote.

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: Given: gx=2x2 To find: Vertex and the equation of axis of symmetry of gx=2x2 with graph

Q: The average cost per hour is dollars of producing x riding mowers is given be the following: C(x) =…

A:

Q: Select the graph of the quadratic function f(x)=x²+2x+2. Identify the axis of symmetry.

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Q: Discuss the possibilties for the number of times the graphs of two different quadratic functions…

A: We need to find possibilities for two graph of quadratic function intersection.

Q: How do I rewrite this quadratic function in the vertex form and what would be the vertex?…

A: Given:fx=5x2-25Vertex:h,k=-b2a, f-b2a

Q: In 1993​, the sports league introduced a salary cap that limits the amount of money spent on​…

A:

Q: use quadratic functions. Suppose that the cost function for a particular item is given by the…

A: We have to use quadratic functions. The cost function for a particular item is given by the…

Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is…

A:

Q: 3. The total profit (in thousands of dollars) from the sale ofx hundred thousand automobile tires is…

A: Explanation of the answer is as follows

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: Given equation is :   P(x)=45*x-0.25*x2 We know , for a parabola  f(x)=a*x2+b*x+c , the coordinates…

Q: Find the value of x that results in a maximum value of y if -2=x^2+y^2-4x+4y?

A: The given equation is -2=x2+y2-4x+4y. To find the value of x that results in a maximum value of y,…

Q: Explain the most efficient method for determining the number of zeroes of a quadratic function. How…

A: This question is based on quadratic equation to find zeroes efficiently.

Q: The daily profit, P of a coffee shop is given by P=12x – 0.02x2 where x is the number of coffees…

A: We have to find the maximum profit from the given function.   According to our guidelines we can…

Q: What is the quadratic function given the vertex is (2,3) and the y-intercept is (0,-5) ?

A: See the details solution in below

Q: Can you find the equation for this quadratic function in the form a[k(x-d)]+c. Please show all the…

A: The vertex form of a parabola is given by the equation: In both cases, the vertex of the parabola…

Q: 6. Determine the equation of the quadratic function with vertex (5, -1) and y-intercept of 6.

A:

Q: 3x2-5,²+ax tlQy-2=0

A:

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A:

Q: What is the maximum value of the function y = -x² + 6x – 7?

A: 3 To find the maximum value of the given function y = -x2 +6x -7

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.