Express the quadratic function f(x)=x^2-x-4 in standard form.    Then sketch the graph.

Q: Write in standard form of the quadratic function whose vertex is (-2,-1) and has a point of (0,3)

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

A: Consider a parabola with the vertex (-3, -13) and any point (0,5). The objective of the problem 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: 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: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A: Given function: fx=x2+4x4-4x2+16 We know that, a3+b3=a+ba2-ab+b2.

Q: Give three numerical examples of quadratic functions

A: To give three numerical examples of quadratic functions

Q: Find a cubic function whose x-intercepts are 3, 1 and -4 passes through the point (4, 72). The value…

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

A: We have given  vertex-52,0 and point -72,-163. If we have the vertex and one point of a parabola it…

Q: Write an equation of the quadratic function with the vertex at the point (-2, -5) and such that f(0)…

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Q: In which form should the equation of a quadratic function be written to most easily determine the…

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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: Use a graphing utility to solve x3 - 3x2 - 4x + 8 = 0.Round answers to two decimal places.

A: x3 - 3x2 - 4x + 8 = 0.

Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

A: We will find the equation of cubic polynomial as following.

Q: Determine the equation of the quadratic function with vertex (3, 5) and passing through the point (–…

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Q: Find a real root of the equationx' +x - 1 =0 by iteration method.

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Q: The path of a baseball after being hit is modeled by f(x) = −0.0032x2 + x + 3, where f(x) is the…

A: We have, the path of a baseball after being hit is modelled by the function given as…

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: Use the vertex (2,8) and a point on the graph (0,4) to find the equation of the quadratic function…

A: Given: the  vertex is 2,8 and a point 0,4. To find : the equation of quadratic function fx.…

Q: find two quadratic function, one that opens upward and another that opens inwards, whos graphs both…

A: our objective is to find the quadratic function

Q: Estimate the root of the function

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

A: Equation of quadratic function is given by as y = a(x-p)(x-q) Where x,y = passing point p,q = roots…

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: Find the general equation of a quadratic function whose graph passes through the origin and has a…

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Q: Write in vertex form the equation of a quadratic function with a vertex at (6, -2) and the point (4,…

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

A: Quadratic equation

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

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Q: 8. If the quadratic parent function is reflected in the y-axis and vertically compressed by a factor…

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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: A quadratic function will not always have zeros.

A: This given statement is true.

Q: Find the cubic polynomial whose graph is passing through the points

A: A cubic polynomial is a polynomial with the highest degree of the polynomial equal to 3. The…

Q: 4. Show that it has a real value!

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Q: Create a quadratic function in factored form and show how to convert it to standard form.

A: Let a quadratic function f(x)=x2-3x+2

Q: Sketch the curve. Show your solutions. f(x) = x4 - 6x2

A: Consider the given: fx=x4−6x2Apply exponent rule:     ab+c=abacfx=x2x2−6x2Factor out common term…

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

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Q: Solve using quotient rule:  f(x) = (3x^2 – x + 4) (2x^2 – 1)

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Q: Suppose that a ball is thrown straight up into the air and its height after t seconds is 5 + 24t-…

A: The function which gives the height is a quadratic function. To find the maximum height attained by…

Q: Differentiate the function y=sec(3x)+5-2

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Q: Find two positive numbers whose sum equals 90 and who maximize the square root of their product.

A: Given that , Sum of two numbers are 90. find the numbers.

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

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Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

A: We have to find the equation for a cubic polynomial that could generate this graph given that it…

Q: Determine the equation of a quadratic function in standard form given zeros x= -4, x = -2 and point…

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Q: Explain how to determine the number and type of roots (both real and imaginary) from the graph of a…

A: There are six types of roots. 1) Real and unequal. When a,b and c are real numbers, a≠0 and the…

Q: 3. Determine the equation of the cubic function with zeros -1, 213 and 3, passing through (4, 5).

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Q: Write the equation of a cubic function, f(x), with zeros at -5, 0, and 2, and end behavior f(x)→ ∞…

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Q: Write the rule of the cubic polynomial with roots 5, -2, and 0 that passes through the point (3,–7).

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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: Find a formula for the quadratic function whose graph has vertex (1,−3) and y-intercept −7   f(x)=

A: We have given the vertex (1,−3) and y-intercept −7.