For each of the following quadratic functions, find the vertex, y-intercept, and the x-intercept(s) of the parabola.  y = −1/4x^2+2x-3

Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

Q: Find the equation of the quadratic function whosegraph is a parabola containing the points (-2,…

A: The quadratic function passes through the points -2, -4,  3, 1  &  2, 4. Let the quadratic…

Q: Find the vertex of the parabola which is the graph of  f(x) =3x2+5x-2 without a calculator.

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Q: Approximate the value of the root of f(x)=-3x³+5x²+14x-16 near x=3 to within 0.05 of its actual…

A: Given : f(x)=-3x3+5x2+14x-16, to find the value of the root near x=3.

Q: Complete the square to re-write the quadratic function in vertex for. y = x´ + 10x + 8

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Q: How can you relate the following situations into quadratic functions? a. The number of kilograms of…

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Q: Graph the following quadratic function using 2 points: vertex and y-intercept y = + 4r + 4

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Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2(x +…

A: Given quadratic function f(x) = -2(x + 4)2 - 8     ...(1)

Q: For each of the following quadratic functions, determine the zeros (if possible) and the coordinates…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function.…

A: Rewrite the given equation as follows.

Q: For each of the following quadratic functions, find the vertex, y-intercept, and the x-intercept(s)…

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Q: Find the vertex of the quadratic f(x) = x2 + 4x + 3 In the box, type the k value

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Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…

A: Given: vertex at 3,5 and it contain the point 2,3

Q: Suppose f (x) = x² + 2x + 1. Find the vertex, vertical intercept, and x-intercepts of this quadratic…

A: The objective of the question is evaluate vertex , vertical intercept and  x-intercept.

Q: Please answer the question in the attachment.

A: The given function is f (x) = x2–8x–9… (1)Compare the given function with the quadratic equation.

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

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Q: Solve for x. Show your work. 4x + 5 = 23 4x - 5 = 8x +7- 6x 6. 5.

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Q: Graph the quadratic function f(x)=−4x2−40x−84

A: f(x)=−4x2−40x−84

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 2x2 -…

A: Given quadratic function, fx=2x2-8x+3 let y=2x2-8x+3 We know that for any parabola in the form…

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: Find the vertex, x and y intercepts of the following quadratic functions: f(x)=x^2+4x+3

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Q: Give the domain and the range of the quadratic function whose graph is: The vertex is (-3, -4) and…

A: Domain:   The set of values of x for which function is defined or exist.…

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

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Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

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Q: 5. Complete the square for the following quadratic function: f(x) = + 5x + 8.

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Q: Find the two numbers whose sum is 15 if the product of the square of one by the cube of the other is…

A: Let us consider one of the numbers to be x. So, the other number will be 15-x. Now, the function…

Q: Determine the quadratic function whose graph is given below. AY 20- 10- -> -10 -5 10 Ко, - 3)/5 |(2,…

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Q: Find expressions for the quadratic functions whose graphs are shown. f(x) = g(x) = X X

A: Given: The graph for fx is, The graph of gx is, To find: The quadratic equation of both the…

Q: For each of the following quadratic functions, find the vertex, y-intercept, and the x-intercept(s)…

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

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Q: Find the vertex of the graph of the following quadratic function. f(x) = x² - 10x – 1

A: Consider a quadratic function is defined as, y=ax2+bx+c The vertex of a quadratic function is the…

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: Graph the given quadratic function f(x) = 3x2 - 6x + 1. Give the function’s domain and range.

A: The given function is fx=3x2-6x+1. The graph of the function as shown below:

Q: Find expressions for the quadratic functions whose graphs are shown. f(x)= g(x) 11 y

A: Given :   f(x) Vertex ( h , k ) = ( 7 , 0 ) put point ( x ,y ) =( 8 , 2 )

Q: Find the vertex of the quadratic function f(x) = 3x2 − 36x + 107.

A: Consider the given function f(x) and compare it with general equation for parabola to find the…

Q: Use the graph of the quadratic function f to write its formula as f(x) = a(x-h) + k. 4-

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Q: Use the graph of the quadratic function f to write its formula as f(x) = a(x-h) +k. Ay 4- -6 12 -2-…

A: The parabola has vertex at (-1,2)  So, (h,k)=(-1,2) If we plug them in the standard form. Then we…

Q: Find the equation of the quadratic function whosegraph is a parabola containing the points (-1,…

A: Find the equation of the quadratic function whose graph is a parabola containing the points, Given:…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function…

A: Consider the given equation of the parabola.

Q: Find the smallest root of the equation f(x) = 2x – 6x + 11x – 7 = 0

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Q: Determine, in Factored and Standard form, the equation for the quadratic function that has…

A: The quadratic function is a second-degree polynomia in which the highest power of the variable term…

Q: Find the x-intercepts of the graph of the function y=x2+4x−3 (x squared)

A: Given, y=x2+4x−3 For x-intercepts, y=0 ∴ x2+4x−3 = 0

Q: Find the equation of the quadratic function f whose graph is shown below. (-4, 6) 6 (-5, 3) f(x) = 0…

A: The given curve is a parabola. So it will have an quadratic equation. We will use the vertex form of…

Q: Find expressions for the quadratic functions whose graphsare shown.

A: Given

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

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Q: Use the graph of the quadratic function f to write its formula as f(x)= a(x -h) + k. T(X) 6- 4 6.…

A: Use the graph of the quadratic function to write its formula as fx=ax-h2+k

Q: Again, the function y=x is shown below. Graph each of the following more complicated quadratics…

A: Solution

Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

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

A: Determine the graph of quadratic function fx=x-22+1