Write the quadratic function in standard form. 9(x)=x+14x + 49 g(x) = Sketch its graph. grx) 10- -10 -5 -5 10

Q: 14.What are the zeros of the function represented by the quadratic equation g (x) = 2x ?

A: Given that gx=2x2 find the zeros of the function

Q: Which statement is true for the quadratic function, y = x² + 12x + 40 ? Use the online calculator…

A: To find the maximum value or minimum value of a function fx, use followings steps: 1. Differentiate…

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: Find the quadratic function y = a(x-h) whose graph passes through the given points. (9,- 12) and…

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

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Q: Determine the quadratic function whose vertex is(1,-5) and whose y-intercept -3 is The graph of the…

A: Vertex is (1, -5) The y-intercept is (0, -3)

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: Write a quadratic function wnose zeros are o and s(x) = 0

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Q: Consider the Quadratic function f(x) = 4x? – 49. - Its vertex is (| ). The x value of its largest…

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Q: Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7)…

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Q: Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have…

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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: Which statements about the quadratic function f(x) = x² + 20x – 38 are true? To complete the square,…

A: NOTE: Refresh your page if you can't see any equations. . to do a complete square, add and subtract…

Q: Find the quadratic function y = a(x-h) whose graph passes through the given points. (4,-2) and (2,0)…

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Q: 4. A quadratic function is defined by the equation y = x² + bx – 6 and when the y-intercept is…

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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: Rewrite the quadratic function in vertex form and give the vertex.   f(x)=3x^2−9x   I wrote for…

A: We have to rewrite the given quadratic equation in the vertex form…

Q: Rewrite the quadratic function in vertex form (which our OpenStax textbook also calls the standard…

A: We have the given equation of quadratic function as f(x)=4x2-20xas we know that, vertex form of a…

Q: 13.What are the zeros of the function represented by the quadratic equation of g (x) = x2 + 5? %3D

A: Given g(x)=x2+5

Q: 17. What is the vertex of a quadratic function y = x2 -3x - 10? 49 a) (-) b) () e) (--) 49 3

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Q: Find a quadratic function f(x) = ax? + bx +c whose vertex is (2, 4) and whose y-intercept is (0,…

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Q: Determine the quadratic function f(x)= ax+bx + c, whose graph is given. 10 5+ +++> 10 X -10 -5 F0,…

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Q: What is the vertex of this quadratic function? A) (-4, 0) B) (-2, 0) C) (-3, 1) D) (0, -8)

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Q: Use the quadratic formula to find the x- intercepts of y = x2 - 8x + 12 (Note: x is squared) Given y…

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

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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: Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have…

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Q: Questlon Enter a quadratic function after changlng from vertex form, y = a(x-h)+k, to standard form,…

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Q: Write the quadratic function in standard (vertex) form.   f(x)=x2−4x−5   f(x)=         Give…

A: f(x) = x2-4x-5        = x2-4x+4-5-4        =x2+2(-2)(x)+(-2)2-9 f(x) =(x-2)2-9 quadratic function in…

Q: If a quadratic function has an a-intercept at 6- v3, where is the other a-intercept? Write the exact…

A: a) Given a quadratic function has a root 6-3 To find the other root. B) Given a quadratic equation…

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 quadratic function y = a(x-h) whose graph passes through the given points. (12,- 4) and…

A: Solve for the quadratic function

Q: Please solve these question in general form a.) The quadratic function has  zeroes 2 and 4

A: If a quadratic function f has zeroes a and b then its quadratic form is  f(x) = (x-a)(x-b)…

Q: Which quadratic function has the largest maximum? (1) h(x)= (3–x)(2+x) (3) k(x)=-5x² -12.x+4 y(x)…

A: The maximum value of a function corresponds to the greatest function value or the highest point of…

Q: Consider the general equation of a quadratic function: f(x)=ax2+bx+c                 (Recall: a, b,…

A: inflection points are points where the second derivative is equal to zero and points where the…

Q: Which statement is true for the quadratic function, y= -2x2 - 12x- 17? Use the online calculatore.e…

A: We have the given quadratic function as y=-2x2-12x-17           ⋯⋯1 For maximum/minimum value of the…

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

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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 two quadratic functions, one that opens upward and one that opens downward, whose graphs have…

A: Given query is to find the f(x) which open upward and g(x) which open downward.

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: Use your knowledge of reference points to write an equation for the quadratic function that has a…

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Q: Write the equation of a quadratic function with roots at -4 and -2, and a vertex at (-3, 1). Write…

A: The quadratic equation with roots at -4 and -2 is given by: y=C(x+2)(x+4) where C is the constant.

Q: ich of the following is the value for æ for which the quadratic y = (x – 3)² + 4 s a turning point?…

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Q: 1.) Write quadratic funCtion standard a in the Vertex,X Horm, y=Ca-h)^2+K. Then Use and y intercepts…

A: We first write the given equation in standard form by completing the square.…

Q: Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have…

A: A quadratic function with x-intercepts (-4,0),(5,0) then gives (x+4) and (x-5) are factors of…

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

A: Given: y=x2+8x+25 We know that for a quadratic functiony=ax2+bx+c, a>0 minimum and maximum value…

Q: Consider the quadratic function f(x) = -4x2 - 16x + 3 to solve, a. Determine, without graphing,…

A: Given information: The function is f(x)=-4x2-16x+3. Calculation: (a) It can be seen that the above…

Q: Graph the quadratic function using the vertex and x-intercepts. Show your work and explain the steps…

A: Given quadratic equation, x2+5x-6=0 To graph this equation using vertex and x - intercepts.