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

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 quadratic function for which: Vertex is ( - 1, 2); contains the point (1, 6)

A: Consider the given point 1,6 and vertex -1,2

Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the points (1, 4), (2, 1),…

A: Given: The linear equation y=ax2+bx+c whose graph passes through the points (1, 4), (2, 1), and (3,…

Q: of the quadratic function ,

A:

Q: Find the domain and range of the quadratic function whose g 3) The maximum is -5 at x = -1

A: Explanation of the answer is as follows

Q: Find a quadratic function f whose graph matches the one below. f(x) =D (-2,3) (0,1) of

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Q: Find a formula for the quadratic function whose graph has y-intercept at y=11 and zeros at x=1 and…

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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: 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 quadratic function y = ax² + bx + c whose graph passes through the points (1, 4), (3, 20),…

A: Given points are 1,4,3,20,-2,25 The Lagrange's interpolation formula is given as…

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

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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: State the circumstances that cause the graph of a quadratic function               f(x)= ax2+bx+c to…

A: An x-intercept is a value at which the graph of the quadratic equation function intersects the…

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: Find the quadratic function y= ax2 + bx + c whose graph passes through the given point…

A: I have provided solution in step2.

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 3x2 -…

A: Vertex form of parabola equationis given byy=ax-h2+kwhere h,k is vertex

Q: Create the equation of a quadratic function that has a vertex (3, 18) and x intercept at (6, 0)

A: Find the value of constants from the given condion gives us the equation.

Q: Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at…

A: Given query is to find the equation of the parabola whose roots are x=9 and x=-4. Parabola passes…

Q: When the graph of a quadratic function opens downward, its leading coefficient is ________ and the…

A: To find: When the graph of a quadratic function opens downward, its leading coefficient is ________…

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

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Q: Find a formula for the quadratic function with the following properties: zeros at -1 and 6; passes…

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

A: The given quadratic function f(x) = -2x2 + 8x - 1   Known fact: The standard form of the quadratic…

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: Determine the vertex of quadratic function f(x) = 2x²+ 4x- 4

A: We have to find the vertex of the quadratic function '…

Q: Use the graph of the quadratic function f to write its formula as f(x)= a(x - h) + k. 2- -> -4 1-2…

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Q: Find the quadratic function y = ax + bx + c whose graph passes through the given points. (-1,-5),…

A: I am sorry to say that According to our guideline we can answer only one question at a time. Other…

Q: Find a formula for the quadratic function whose graph has a y-intercept of  y=11 and x-intercepts at…

A: To find the expression (second degree in x) for y from the given data

Q: Solve the quadratic for x: f (x) = x² – 7x – 18

A: The formula to find the solutions of the quadratic equation helps to find the required solutions.…

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

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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 vertex  (h, k)  and a point on the graph  (x, y)  to find the general form of the equation…

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Q: Find the vertex of the quadratic function f(x) = 3x2 24x 50 (х, у) 3

A: To determine the vertex of the (parabola) defined by the given quadratic function

Q: For the quadratic function f(x) = - (x - 1)(x – 5), identify the x-intercepts, vertex, and the…

A: Given problem:-   For the quadratic function f(x) = - (x - 1)(x – 5), identify the x-intercepts,…

Q: Express the quadratic function f(x) = x2 - x - 6 in standard form, and sketch its graph.

A: Given, fx=x2-x-6

Q: Find the equation of a quadratic function having the x-intercepts a(-4,0) and b(3,0) and passing…

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Q: Discuss the possibilties for the number of times the graphs of two different quadratic functions…

A: We need to find possibilities for two graph of quadratic function intersection.

Q: Find a formula for the quadratic function with a vertex of (5,0) while f(6)=2

A: Given,           A formula for the quadratic function with a vertex of 5,0 while f6=2.We know that,…

Q: The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts…

A: We are given the range of quadratic function y less than equal to 2. It means parabola is downward…

Q: Find the quadratic function y = ax + bx + C whose graph passes through the given points (-2,8), (1,…

A:

Q: Approximate the solution(s) to x3 = x2 - 5 using a graphing utility.

A: We have to approximate the solution(s) to x3=x2-5 using the graphing utility .

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

A: Given: f(x)=-2x+12+5

Q: Determine the quadratic function f whose graph is given. 8- The vertex is (1, – 5) and the…

A: Question- Determine the quadratic function f whose graph is given. The vertex is (1,5) and the…

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: Write an equation for the quadratic graphed belov x-intercepts: (-1,0) and (4,0). y-intercept: (0,2)…

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Q: Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).

A: You are looking for a function with:quadratic functionPoint at (-1|-2)Point at (2|1)Point at…

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

A: For y=a(x-h)2+k vertex (h,k)

Q: Find the curve whose slope at any point (x,y) is 6x^2−2x−5 if the curve is required to pass through…

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Q: Find a formula for the quadratic function whose y-intercept of y = 3 and x-intercepts at x = 1,…

A: Given: y-intercept y=3 x-intercept at x=1,4