What is the relationship between the graph of x=-b/2a and the graph of the quadratic function?

Q: What is the maximum number of times that a quadratic function can intersect the x-axis?

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Q: Find the domain and range of the quadratic function whose g 3) The maximum is -5 at x = -1

A: Explanation of the answer is as follows

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

A: Topic = Functions

Q: what is quadratic function ?

A: first, let's understand what is a function? It is a relation from a set of inputs to a set of…

Q: Describe the relationship between the solutions of a quadratic equation and the graph of the…

A: To Describe: The relationship between the solution of a quadratic equation and the graphof the…

Q: The number of secure Internet servers in the United States from 2009 to 2013 can be modeled by a…

A: Given query is to find the function for the Model.

Q: Which graph best represents a quadratic function that has only one zero?

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Q: Sketch the graph of the quadratic function. f(x) = - 3x2 - 12x

A: Given quadratic function is : fx=-3x2-12x Required to sketch the graph of quadratic function.

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

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

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Q: What is a zero of a function? How do you find the zeros of a quadratic function by looking at the…

A: Zero of a function refers to the values of x for which the functional value is equal to zero. alues…

Q: Sketch the graph of the quadratic function g(x) = (x - 3)^2 - 1. Be sure to include and clearly…

A: Let's prepare a set of points: x g(x) 0 8 1 3 2 0 3 -1 4 0 5 3 6 8 7 15

Q: Which graph bests represents a quadratics function that has ONLY ONE solution?

A: To find the graph which has only one solution from the given graphs

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

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Q: What are the possibilities for the number of times the graphs of two different quadratic functions…

A: To solve the given problem

Q: Graph the quadratic function f(x) = (x + 3)2 + 1.

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Q: What is the equation of a quadratic function with a vertex (3, 4) and passes through (1, 2)?

A: Given : Vertex is 3,4

Q: snip

A: Why does the graph of a quadratic function opens up if a>o and down if a<0?

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: Solve for the zeroes of f(x) = x* - 4x2 and sketch the graph %3D

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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: The graph of f(x) = 2x³ + 6x² horizontal tangents. – 90x + 8 has two What is the negative value of x…

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Q: The line that passes through the vertex and divides the graph pf quadratic function into two equal…

A: Given,           The line that passes through the vertex and divides the graph pf quadratic function…

Q: Give the domain and range of the quadratic function whose graph is described.   Maximum equals=- 3…

A: A quadratic function is of the form: This is a degree 2 polynomial Polynomials exist for all real…

Q: The profit for a product can be described by the function ​P(x)=212x−5500−x2 ​dollars, where x is…

A: Given P(x) = 212x-5500-x2 d/dx P(x) = 212-0-2x = 0 2x-212 = 0 2x = 212 x = 106

Q: Explain why the condition of a 0 is imposed in the definition of the quadratic function.

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Q: Graph the quadratic function f(x) = -2(x - 3)2 + 8.

A: Graph  of a function: f(x) = -2(x - 3)2 + 8 f(x)=-2x2+12x-18+8      =-2x2+12x-10

Q: Give the domain and the range of the quadratic function whose graph is :Maximum = -6 at x = 10

A: we know that quadratic function domain is always x∈R, so domain will be x∈-∞,∞ if, maximum value of…

Q: how

A: The given function is a third degree polynomial.

Q: How to write a quadratic function who have zeros of -5 and -3

A: Please rate and feel free to ask any query about any part of the question .

Q: Determine the quadratic function whose graph is given below. AY 20- 10- -10 -5 K0,-3) 10 (-2, 70…

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Q: Why does the graphy of the quadratic function f(x)=x2+4x+5 cross the y-axis but not the x-axis?

A: The graph the quadratic function crosses y axis because we can put x is equal to zero and get y…

Q: What is the name of the shape of a quadratic function

A: Given query is to give the name of the shape of quadratic function.

Q: Find the equation of the quadratic function f whose graph is shown below. 6+ (1, 5) f(4) = 0 -8 -4…

A: Solve the following

Q: The net profit in dollars per day for a small business owner is given by the equation f (x) = -0.1x²…

A:

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: The graph of f(x) = 2x + 6x2 – 90x + 21 has two horizontal tangents. What is the negative value of x…

A: Given that the graph of f(x)=2x3+6x2-90x+21-(i) has two horizontaltangents.Our Aim is to tell the…

Q: What is the degree of a quadratic function?

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Q: The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts…

A: We are given the range of quadratic function y less than equal to 2. It means parabola is downward…

Q: represents Quadratic Function and No when does not.

A: Concept - Any relation/equation of the form of - ax2+bx+c represents a quadratic function. The…

Q: The net profit in dollars per day for a small business owner is given by the equation f…

A: We know:

Q: Sketch the graph of the quadratic function f (x) = x 2 + 3x + 1 4 without using a graphing utility.…

A: Given,

Q: The profit of a cell phone manufacturer is found by the function y= -2x2+108x+75, where x is the…

A: Solution of question as follows

Q: if you vertically stretch the quadratic parent function, F(x)=x2, by multiplying by 7, what is the…

A: Explanation of the solution is given below...

Q: Determine the quadratic function whose graph is given below. 20- 10- -10 -5 0, - 2) 5 10 (-2,- 6…

A: given graph represent  a parabola open towards positive y axis

Q: Determine the domain and range of the quadratic function. f (x) = –2(x + 4)² – 6 -

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Q: The graph of quadratic function f is shown on the grid. (-6, 4)- 1 -1 -2 (-2, -4) -5 (-3, -5) What…

A: The intercept of any graph are points at which the graph crosses the axes , X and Y.

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

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