Can a quadratic function have a range of (- ∞, ∞)? Justify your answer (Please dumb it down)

Q: Determine the domain and range of the quadratic function. Enter your answer in interval notation. To…

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Q: What is a quadratic function? Explain.

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Q: Write in vertex form the equation of a quadratic function with a vertex at and the point (-3, 20).…

A: Given Data: Vertex: h, k=32, -14 Point: x, fx=-3, 20 The vertex form of the quadratic equation is,…

Q: What is a quadratic function? What shape does its graph have?

A: A quadratic function is defined as the function which is having a variable with degree 2. The…

Q: Sketch the graph of the quadratic function f(x)=-2x2+6x-3. On the graph, show the values of x and y…

A: The given function is

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: Find the rule of a quadratic function whose graph has the given vertex and passes through the given…

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Q: Put the quadratic function into standard form

A: We have to write the standard form of the given quadratic function.

Q: Sketch a possible graph of a quadratic function, whose discriminant is 0 and its graph opens…

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Q: The graph of a square root function has a domain of (0, ∞) and range of [1, 0). In two or more…

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Q: Which quadratic function in vertex form can be represented by the graph that has a vertex at(4,-8)…

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Q: Rewrite the quadratic function in vertex form (which our OpenStax textbook also calls the standard…

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Q: Find the rule of the quadratic function f (x)= a(x-h)² +k whose grapn has a vertex at (-15, 18) and…

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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: What are the real root(s) of the quadratic equation whose related function is graphed below? A (3,0)…

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Q: Can a quadratic function have a range of (-00, 00)? Justify your answer.

A: No. Explanation: Since a quadratic function is a parabola, it must contain either a minimum point or…

Q: Isit possible for quadratic function to have ond real zero and have one imaginary zero? Why or why…

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Q: What is the degree of a quadratic function f? What is the standard form of a quadratic function? How…

A: A quadratic function is of the form f(x)=ax2+bx+c So, the degree of quadratic function is = 2

Q: An algebraic expression in two or more variables describing a quantity that must be maximized or…

A: An algebraic expression in two or more variables describing a quantity that must…

Q: Suppose a parabolic archway has a width of 280 cm and a height of 216 cm at its highest point above…

A: Given that, a parabolic archway has a width of 280 cm and a height of 216 cm at its highest point…

Q: maximum number of turning points possible for the function f(x) = 9x* + 2a³ – 6x – 5, is

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Q: A quadratic function is given f (x) = x^2 -6x. In standard form f (x) =(x-3)^2-9. If the vertex is…

A: Graph of the given function is

Q: The graph of a quadratic function h is shown on the grid. What is th intercept of the graph of h?

A: Consider the given graph.

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

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Q: how to transform standard form of a quadratic function into the vertex 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: Use the quadratic function f(x) = 4x2 - 16x + 1000.Determine, without graphing, whether the function…

A: Given quadratic equation - f(x) = 4x2-16x+1000Here we can see that, there is no square root…

Q: Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have…

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Q: A rectangular piece of sheet metal with a perimeter of 50 cm is rolled into a cylinder with two open…

A: a. Given that, a rectangular piece of sheet metal with perimeter 50 cm is rolled into a cylinder…

Q: 5. Determine the equation of a quadratic function given zeros x = 4 and point (3, 2).

A: Quadratic equation

Q: Determine the quadratic function whose graph is given below.

A: Given, Vertex (h,k) is (-2,10) Point (x,y) is (0,-6)

Q: Write the quadratic function in standard (vertex) form.   f(x)=x2−4x−5   f(x)=         Give…

A: f(x) = x2-4x-5        = x2-4x+4-5-4        =x2+2(-2)(x)+(-2)2-9 f(x) =(x-2)2-9 quadratic function in…

Q: Write the standard form of the quadratic function that has the indicated vertex and whose graph…

A: We will use the concept of standard form of parabola as a quadratic function to solve this problem.

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A: The standard form of quadratic equation whose graph is a parabola is- y=ax-h2+k Vertex = (2,-4)…

Q: Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the…

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Q: The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is…

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Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: How can I solve the domain of this function?

A: Clearly we can see that the given function is a polynomial of order 2. And we know that polynomial…

Q: Does a relative maximum of a function always have the largesty-value in the domain of the function?…

A: A relative maximum point is a point where the function changes direction from increasing to…

Q: 4. Write a quadratic function whose graph has a vertex of (1, 2).

A: To find the quadratic function

Q: Can a quadratic function have a range of (- ∞,   ∞)? Justify the answer

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Q: what is the maximUM value for the funcion flx)<~x? + 2x+2?

A: Take the derivative of the given function and equate to zero.

Q: Determine the quadratic function f whose graph is given.

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Q: A quadratic function is given f (x) = x^2 + 6x + 8. In standard form f (x) = (x+3)^2 - 1. If the…

A: Consider the quadratic equation:

Q: Can a quadratic function have a range of ( - ∞, ∞)? Justify your answer.

A: we have to justify the given statement   The given statement is can a quadratic function have a…

Q: 6) What is the function of the quadratic that was vertically stretched by a factor of 2 and shifted…

A: According to the guidelines issued by the company we are supposed to answer only first question.…

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

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Q: No quadratic functions have a range of (- ∞,∞).Determine whether the statement is true or false. If…

A: Given, No quadratic functions have a range of (-∞,∞).

Q: We can graph a quadratic function with just using the vertex and x and y intercepts. False True

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