The graph of a quadratic function f(x) is shown above. It has a vertex at (2, 1) and passes the point (0, -1). Find the quadratic function. f(x) =

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

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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: A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is…

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Q: The Range of the quadratic function f(x) = -x² + 15x + 45 is O (0,8] О -45, 8 O [-8, 0) O [45, 0) O…

A: By sketching the graph

Q: The graph of the quadratic function f(x) = cx2 + d has a vertex at (0,7) and passes through the…

A: Given quadratic function is- fx=cx2+d Since, y=fx Hence, y=cx2+d Since, the graph has a vertex at…

Q: To put the quadratic function f(x)= ax2 + bx + c instandard form, we complete the____ .

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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: The Range of the quadratic function f(x) = -x² + 9x + 53 is O (0,4] O (-∞,53] O [53, ) O [-53, 4] O…

A: This question is based on finding range of quadratic function which is a downward opening parabola

Q: -1 -2 |(1, -2) -3 -6 -8 -9 -10 -4 -3 -2 Enter the rule for the quadratic function shown in the graph…

A: Using our general form of the quadratic, y = ax2 + bx + c, we substitute the known values for x and…

Q: Consider the Quadratic function f(x) = 2x² – 2x - 60. Its vertex is ). > Next Question

A: f(x)= 2x2-2x-60  Find the vertex of f(x)

Q: The quadratic function y = 2x² + 3x - 20 has zeroes at x = -4 and x Use this information to find the…

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Q: Determine a quadratic function whose graph has x-intercepts of (6, 0) and (−4, 0). f(x) =

A: f(x) =(x+6) (x-4)

Q: The graph of the quadratic function f(x) = cx2 + d has a vertex at (0,8) and passes through the…

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Q: Use the graph of the quadratic function f(x) = a(x - h)- +k to find the vertex, axis of symmetry,…

A: To find the vertex, axis of symmetry, and maximum or minimum value of function using the given graph…

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the Standard Form ( f(x) = a(x − h)² +…

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Q: Consider f(x)=ax3+bx2+cx+d Under what conditions on a,b,c,and d does the graph of a cubic function…

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Q: Express the quadratic function f(x) = x² - x - 8 in standard form. f(x) = Sketch its graph.

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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: by graphing the standard quadratic function f(x)=x². Then use transformations of this graph to graph…

A: Please refer to the image below

Q: Consider the Quadratic function f(x) = x² – 3x Its vertex is Its largest -intercept is x = Its…

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

A: Given : (h, k) = (0, 7), (x, y) = (1, 8) Now we find quadratic equation

Q: The quadratic function f(x) = a (x – h) 2 +k, is in ___________ form. The graph of the function is…

A: 1) The quadratic function f(x) = a (x – h) 2 +k, is in ____Standard _______ form (If a is not equal…

Q: The Range of the quadratic function f(x) = -x² + 24x + 48 is, O [-48, 12]| о (), 12] O [48, 0) O…

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Q: quadratic functions into the vertex 2. f(x) = 2x² – 12x+ 19 %3D

A: Explanation of the answer is as follows

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

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

Q: Find the maximum or minimum value of the function. h(x) =1/2x2 + 6x − 2 h(x)= Is this a maximum…

A: To find maximum or minimum of a function, we will take first derivative of f(x) to find critical…

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 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: Determine the equation of a quadratic function in standard form having the following features A zero…

A: To find the equation of quadratic equation

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

A: Topic - quadratic Equations At vertex slope of graph is zero

Q: Find the equation of the quadratic function f whose graph is shown below. (2, 7) (3, 4) )- 0 ID

A: This question can be solved using the general equation of parabola.

Q: rewrite the quadratic function in standard form.  h(x)= 2x^2 +4x-10  h(x)= give the vertex…

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Q: 15(a). Consider the quadratic function f(x)=-x² - 4x + 5. (i) Find the vertex and the intercepts of…

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Q: To put the quadratic function f(x) = ax + bx + c in standard form, we complete the --Select- Select-…

A: To find: To put the quadratic equation in standard form, we complete the  ________________________

Q: Consider the Quadratic function f(x) = x² – 4x – 32. Its vertex is ( Its smallest x-intercept is x =

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Q: 5. Sketch a possible graph of a quadratic function which has two real roots (one positive, one…

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Q: The vertex of the quadratic function f(x)= (x+6)^2 -2 is

A: The general form of the quadratic function is, y=ax-h2+k Here, (h,k) is the vertex. Consider the…

Q: Consider the Quadratic function f(x) = x² – 4x – 21. Its vertex is ( %3D ). Its largest r-intercept…

A: The given function is; f(x)=x2-4x-21.

Q: Find the point on the graphf(x)=4-x^2 that is closest to the point (0,1)

A: To find the point on the graph f(x)=4-x2 that is closest to the point (0,1)

Q: The graph of a quadratic function f(x) is shown above. It has a vertex at (2, 1) and passes the…

A: It is an downward parabola whose general equation is of the form(x-h)2 = 4a(y-k)       ..(i)where…

Q: Consider the Quadratic function f(x) = x² – 7x – 8. Its vertex is ). Its largest x-intercept is x =…

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Q: Determine a quadratic function whose graph has x-intercepts of (4, 0) and (−2, 0).   f(x) =

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Q: A quadratic function y J (x) is plotted on a graph and the vertex of the || resulting parabola is…

A: If y = f(x) + C ,then C > 0 moves it up C < 0 moves it down If y = f(−x), then Reflects it…

Q: Find the vertex of the quadratic function f(x) = x² – 6x + 42 then express the quadratic function in…

A: Consider the given quadratic function: fx=x2-6x+42 Here, the objective is to express the given…

Q: Identify the quadratic function from the graph y -2 -3 -2 -1 2 a) f(x) = x² – 4x + 5 b) f(x) = x2 –…

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

A: We have to find the quadratic equation    Please Like ,Thankyou

Q: 1. Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and…

A: Given Problem:-  Find the y-intercept of a quadratic function containing the following points:…

Q: the vertex of Quadratic function f( x) = 2x2 - 4x + 1 is : Select one: a. (1,-1) b. (-1,1) c. (-1,…

A: Given : f(x) = 2x2 - 4x + 1 Vertex of f(x) = ?

Q: Consider the Quadratic function f(x) = x² – 3x – 28. Its vertex is ( ). Its x-intercepts are ( ) and…

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