Use a graphing utility to graph the quadratic function. f(x) = -2x2 + 24x - 72

Q: sketch its graph and find the vertex. g(x) =    1/2(x2 + 4x − 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: 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 the quadratic function in the form g (x) = a (r-h)+k. Then, give the vertex of its graph. g(x)…

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Q: Given the quadratic function y=-x²-8x a)Find the vertex point b) Find the y-intercept c)Find the…

A: According to guidelines I solve first 3 subparts so kindly request you to repost the remaining parts…

Q: Write the quadratic function f(x) = x2 − 8x + 21 in standard form and sketch its graph. Identify the…

A: Given function is    f(x) = x2 − 8x + 21

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

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Q: Can a quadratic function have a range of 1 - q, q 2? Justifyyour answer.

A: Here we need to determine whether a quadratic function can have range -q,q or not.

Q: Use a graphing utility to graph the quadratic function. f(x) = -2x2 + 24x – 72

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

A: As per our guidelines only one question can be solved. Find the solution for 1st question below :

Q: Use a graphing utility to graph the quadratic function f(x) = −2x2 + 10x. Find the x-intercept(s) of…

A: x-intercept: The point at which the graph intersects the x-axis is called x-intercept.  Any…

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

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Q: Rewrite the quadratic function in standard form and give the vertex. f(x)x22 (x The vertex is at )

A: Rewrite the quadratic function in standard form

Q: Write the quadratic function f(x) = x2 + 12x + 40 in standard form and sketch its graph. Identify…

A: given ,      fx=x2+12x+40

Q: g(x) 10 X -5 5 10 -5

A: the general form of the quadratic equation is…

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: Can a quadratic function have a range of (-00, 00)? Justify your answer.

A: No. Explanation: Since a quadratic function is a parabola, it must contain either a minimum point or…

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 vertex of the graph of the quadratic function by completing the square or using the vertex…

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Q: The graph of a quadratic function f is given. f(x) = -x2 + 8x -7 y

A: Given: From the above graph, we get the following. For (a),

Q: Write the quadratic function in vertex form. Then identify the vertex. f(1) = 12 - 8r + 19 f(z) = L…

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

A: Given: y=f(x)=x2-2Now plotting the given function on the graph

Q: Use this graph of a quadratic function below to fill in the table. Vertex: Equation of the axis of…

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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: Write the quadratic function g(x) = x2 − 8x in standard form and sketch its graph. Identify the…

A: given,        gx=x2-8x

Q: Rewrite the quadratic function in vertex form and give the vertex  f(x)=2x^2-10x f(x)= vertex:

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Q: Use a graphing utility to graph the quadratic function f(x) = 2x2 − 7x − 30. Find the x-intercept(s)…

A: To Determine: a) Use a graphing utility to graph the quadratic function b) Find the x-intercept(s)…

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

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

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Q: Use a graphing utility to graph the quadratic function. f(x) = -(x² + 2x – 3)

A: NOTE: Refresh your page if you can't see any equations. . to graph the function, we need a few…

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

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Q: Write the quadratic function in vertex form. Then identify the vertex. h(x) = 12 +2x 48 h(z) = %3D…

A: We know that the vertex form of a standard quadratic function  [h(x) =ax2+bx+c] is -  a(x-h)2+k=…

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

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

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Q: The zeros of a quadratic function are where the graph crosses the x-axis. O True O False

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Q: Use the graph of the quadratic function, g(x), to answer each question. a. g(-1)-L g(x) b. g(-3)- c.…

A: Simple , you can check value of 'x' on the x-axis and check what gives graph g(x) .

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

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

A: topic- quadratic equations vertex: The point at which a quadratic changes direction, corresponding…

Q: Write the quadratic function in standard form  f(x)=x^2-6x+3 Identify the vertex, axis of symmetry,…

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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: Use the quadratic function h to answer the questions. h(x)=2x^2−4x+7   What is the vertex of the…

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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: 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 the quadratic function in vertex form. Then identify the vertex. g(1) = 12 + 12x +37 %3D g(2)…

A: Given: gx=x2+12x+37 So, We can write as a quadratic form in equation form is:…

Q: Given the graph of a quadratic function, determine the signs of a and c: А. а>0, с>0 В. а>0, с0 D.…

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