Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function's domain and range. f(x) = 2(x- 3)² - 3 Use the graphing tool to graph the equation. Use the vertex and the y-intercept when drawing the graph.

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

A: Given query is to find the equation of the parabola.

Q: find the coordinates of the vertex for the parabola defined by the given quadratic function  f(x)=…

A: At the vertex x= -b/(2a)  We compare f(x)= -x^2-4x+10 with f(x)= ax^2+bx+c  a=-1 , b=-4 and c=10

Q: Find the vertex for the parabola y = -4x2 + 20x + 160. Then determine a reasonable viewing rectangle…

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Q: Write the equation of the quadratic function in vertex form given the the vertex (1, 4) and a point…

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Q: Write an equation in vertex form of the parabola that has the same Shape as the graph of f(x) =3x^2…

A: Only replace the x and y by appropriate variables as given in the question.

Q: Write an equation in vertex form for the quadratic function that has a vertex (3, -4) and a…

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Q: Please help me solve this question

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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: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: Determine the quadratic function f. Simplify. The vertex is (3,-1) and the other given point is…

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Q: Write the quadratic function in standard form and sketch its graph. Identify the vertex, axis of…

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Q: Sketch the graph of each quadratic function and compare it with the graph of y=x^2. A)  g(x)=-x^2+4…

A: We draw the graph of each function one by one Graph of y=x2

Q: Write the quadratic function f(x) = x2 − 6x in standard form and sketch its graph. Identify the…

A: The given function is fx=x2-6x. Rewrite this as follows. fx=x2-6x=x2-23x+32-32=x-32-32=x-32-9 Thus,…

Q: Write the quadratic function in the form Ay y = a(x - h)2 + k and sketch its graph. y = 3x2 - 12x +…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 2x…

A: Let the standard form of parabola is y=A(x-a)2+b ⇒h(x)=A(x-a)2+b, where (a, b)is the vertex. Value…

Q: Write an equation for the quadratic graphed below Zeros at x = 3; y-intercept: (0,12)

A: Topic:- function

Q: Use the vertex and intercepts to sketch the graph of the quadratic function.  Specify domain and…

A: Given: The function fx=x-12-2 To sketch: The graph of given quadratic function. To find: Domain and…

Q: Give the domain and range of the quadratic function whose graph is described. the vertex is (-5,-2)…

A: We know that when the parabola opens upward , the vertex is the minimum point of the parabola.

Q: f(x)=x^2-2x-8 (Find the vertex , find the x- intercept, Find the y- intercept, Graph the quadratic…

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

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Q: Write the standard form of the quadratic function whose graph is the parabola shown. (Let x be the…

A: Solved below

Q: Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also…

A: The given function is  f(x)=x2-10x+74

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 3x…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of…

A: Given:- f(x)= 9x2 To find:- Standard equation of parabola same shape parabola with vertex (4, 7)

Q: Sketch the graph of the quadratic function and the axis of symm vertex, and give the equation for…

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Q: Which of the quadratic functions shown graphed below would have a negative discriminant? (1) (3) (2)…

A: The solutions of a quadratic equation can be described by the value of the discriminant. If the…

Q: Sketch the graph of the quadratic function. f(x) = x? +2x - 3

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle. The exterior perimeter of…

A: We have to find value of h & r .

Q: Write the quadratic function h(x) = 4x2 − 4x + 21 in standard form and sketch its graph. Identify…

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Q: nd the equation of the function with vertex (2, -5) that passes through 7). Place your answer in…

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Q: Graph the quadratic function f(x) = (x+5) - 3. Give the (a) vertex, (b) axis, (c) domain, and (d)…

A: Given,           fx=x+52-3To find : a vertex, b axis, c domain, drange

Q: Use the table of values that represent points on the graph of a quadratic function. By determining…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Write the quadratic function in the form f (x) = a (r-h)+k. Then, give the vertex of its graph. f(x)…

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Q: Write the standard form of the quadratic function whose graph is the parabola shown. (Let x be the…

A: We have to write standerd form of quadratic form

Q: Consider the quadratic function given by the following equation: y = -4x + 20x – 25 Sketch a graph…

A: topic - function and its sketch

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

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Q: Use the table of values that represent points on the graph of a quadratic function. By determining…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 8x…

A: Here we have to write an equation in standard form of the parabola that has the same shape as the…

Q: Write an equation in vertex form for the quadratic function that has a focus of (2, 1) and a…

A: From the definition of a parabola, the distance of any point on the parabola from the focus must be…

Q: Determine the vertex of the quadratic function f(x) = −1/3 x2+4x −7. Write your answer in the form…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: Determine the quadratic function. The vertex is (1,3). The y-intercept is (0,-2).

A: to find the quadratic equation with vertex(1,3) and y intercept(0,-2)

Q: Write the quadratic function in vertex form. Then identify the vertex. f(x) = 1 +6x – 16 f(z) =D %3D…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: We have, fx=3x2 The above equation represents the upward parabola with vertex 0,0, Therefore minimum…

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

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

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 8x2…

A: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)=…

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

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.