Determine the domain and range of the quadratic function. (Enter your answer using interval notation.) f(x) = 3x2 − 12x + 12 domain            range

Q: Find the zeros of the quadratic function y = -2x2 - x + 2.

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Q: Find the zeros of the quadratic functionf(x) = (x - 5)2 - 12. What are the x-intercepts, if any,…

A: fx=x-52-12 Consider, fx=0⇒x-52-12=0⇒x-52=12⇒x-5=±12⇒x-5=±23⇒x-5=-23  or  x-5=23⇒x=5-23  or  x=5+23…

Q: Graph the the quadratic function f(x) = -x2 - 4x + 5. Give the function domain and range.

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

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Q: consider the quadratic function f(x)=4x2-10x+1  the line of symmetry is? The vertical intercept is…

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Q: Find the range of the quadratic function. y=-2x-16x- 34

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Q: The quadratic equation for the cost in dollars of producing automobile tires is given below where x…

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Q: Convert the quadratic function g(x)=-4x^2+40x+4 to vertex form by completing the square. Identify…

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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: Find the formulas for the quadratic function that has x-intercepts (-4,0) & (2,0) y-intercepts (0,4)…

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Q: 6

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Q: f(x) = x2 + 2x - 3 %3D to 10 x ES 40+

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Q: Which is true for the quadratic function, y = x² + 8x + 25? Use the online calculator. O It has a…

A: A function is said to has a minimum function value at 'x=a', when f'(x)=0, or at x=a ,f'(a)=0,…

Q: A student graphed the quadratic function  The range of the function, in interval notation is:…

A: Domain(-inf,inf) Range=[0,inf) F(x) is always >0

Q: A hotel entrance makes a parabolic arch that can be represented by the quadratic function, y=-x^ 2…

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Q: Find the range of the quadratic function. f (x)=-2x-16x– 30 Write your answer using interval…

A: Given function is fx=−2x2−16x−30. We have to find the range of the quadratic function…

Q: Find the zeros of each quadratic function by factoring.What are the x-intercepts of the graph of the…

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Q: Use the quadratic function f(x) = x² + 8x + 15 to fill in the blanks below. The axis of symmetry is…

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Q: A retailer who sells backpacks estimates that y selling them for x dollars each, he will be able to…

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Q: Find the range of the quadratic function. g (x)=x-4x+7 Write your answer using interval notation.

A: Given function is g(x)=x2-4x+7

Q: Solve the equation 2x3 - 3x2 - 11x + 6 = 0 given that 3 is a zero of f(x) = 2x3 - 3x2 - 11x + 6.

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Q: -4 -3 -2 -1 0. 1 -20 -13 -8 -5 -4 -5

A: topic - quadratic equations

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: Determine the domain and range of the quadratic function. (Enter your answers using interval…

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Q: Determine the domain and range of the quadratic function. (Enter your answers using interval…

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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: which are the quadratic function fCx )= x? - Il x-42? (A) X=-6, X=1 (B)x=-3, x=1. C) x - 3, X=-14…

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Q: What is the y-intercept of the quadratic function ? * y = 3x² + 2x- 5 %3D

A: Consider the given function as y=3x2+2x-5

Q: A fast-food restaurant has a cost of production C (x) When does the company start to turn a profit?…

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

A: In this question we will go by options The correct option will satisfied by the vertex(-1, -4) and…

Q: omplete the square and find the vertex form of the quadratic function.  F(x)= x^2-10x+95

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Q: dolphin jumps out of the water. The quadratic function y = –16x2 + 32x models the dolphin’s height…

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Q: Which statement is true for the quadratic function, y = x2 + 14x+ 40 ? Use the online calculator e.e…

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Q: What is the vertex of the quadratic function y = (x + 2)(x - 8)? %3D O (-3, 11) O (-2, 8) O (2, -8)…

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Q: er is going to fence three sides of a corral next to a river. He needs to maximize the corral area…

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Q: A hotel entrance makes a parabolic arch that can be represented by the quadratic function, y=-x^ 2…

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Q: Find the quadratic function f(x)=-1/2(x+6)2+8

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Q: The profit function for a computer company is given by P(x) = -x2 + 38x – 10 where a is the number…

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Q: The table shows the daily production level and profit for a business. Use the quadratic function y =…

A: Let y=ax2+bx+c   →1 be the required profit when x units are produced. Put x=30 & y=5900 in…

Q: Determine the domain and range of the quadratic function. (Enter your answers using interval…

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

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Q: Write the quadratic function in the standard form y = a(x - h)² + k. y=-3x2 18x-23

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Q: Write the quadratic function in the form f(x)=(x-4)²+k Then, give the vertex of its graph.…

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

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Q: -4 -3 -2 -1 1 y -20 -13 -8 -5 -4 -5

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.