Find the equation, in vertex form, of the quadratic equation with zeros -1 and 7 and through the point (5,6).  Include a sketch.

Q: find the quadratic equation that goes through the points (2,-4), (3,-4), (0,2)

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Q: Find the general form of the quadratic equation with the vertex (-2,-3) and a point on the graph…

A: Given: The vertex of the quadratic equation is (-2,-3) and a point on the graph (4,33).

Q: Find the quadratic equation if the roots are 3 and - 4.

A: Quadratic equation with roots a and b is x2-(sum of the roots)x + product of the roots =0…

Q: Find the discriminant of the quadratic equation and describe the number and type of solutions of the…

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Q: Determine the kind of this quadratic form,

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Q: Substitute a, h, and k into the vertex form of a quadratic equation.

A: We know that the vertex, (h, k) of a parabola is a point where is minimum or maximum.  The vertex…

Q: Find the discriminant of the quadratic equation and describe the number and type of solutions of the…

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Q: Write an equation for the quadratic graphed below x-intercepts: (-2,0) and (3,0). y-intercept: (0,1)

A: In general, y=a(x-h)2+k Where, (h,k)=vertex=(0,1) Then, the equation will be y=ax2+1

Q: If the discriminant of a quadratic equation is 4, then the equation has

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Q: Determine the quadratic equation whose one root is 3 and the product of the roots is 36.

A: Topic = Quadratic equation

Q: If the zeros of a quadratic equation are -3 and 5, what would be the x-intercepts

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Q: A quadratic equation which goes

A: Given, a quadratic equation which goes through the origin has the form…

Q: find the equation of the quadratic function/equation. and

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Q: Identify value of a, b and c in quadratic equation. 4xsquared-3x-7=0

A: Given equation is,

Q: Find the roots of 2x quadratic equation - 2/x2 +1 = 0,if they exist using the

A: Given equation is 2x2-22x+1=0 find the roots of the quadratic equation

Q: Write an equation for the quadratic graphed below: x-intercepts: (-2,0) and (3,0); y-intercept:…

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Q: Write a quadratic equation in standard form with roots -7/3 and 2 and passing through the point…

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Q: Write an equation whose graph will have x-intercepts at the given values. 5 and -3 Complete the…

A: The given x intercepts are, 5 and -3

Q: Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept:…

A: Here we have to find the quadratic equation of the given graph, here x and y interception are…

Q: Determine the quadratic equation that has zeroes at -4 and 11, if f(-3)=56. Show all your work.

A: We have to determine the quadratic equation that has zeros at -4 and 11 If f(-3) = 56

Q: Find the quadratic equation whose roots are (3-j5) and (2 + j4).

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Q: Write an equation of the parabola in intercept form that passes through (-18, 72) with x-intercepts…

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Q: Write an equation of the parabola on intercept form that passes through (-18, 72) with x-intercepts…

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Q: Solve for a a %3D 2m²

A: Solve for a

Q: Write an equation of the parabola in intercept form that passes through (-18,72)​ with x-intercepts…

A: GIVEN PARABOLA PASSES THROUGH (-18, 72) AND X-INTERCEPTS ARE -16  &  -2 .

Q: Determine the equation of the quadratic with roots of of -32. +13 -2± √2 and that has a y-intercept

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Q: If brad throws a spherical object vertically upward having initial velocity at 200 feet per second…

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Q: Write the quadratic equation in vertex form given vertex (O, 3), point (-1, 5) O y= -x? ++ 3 O y=…

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Q: The parabolic flight of an aircraft used to simulate weightlessness can be modelled by the quadratic…

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: Given, -7x2-5x-3=0

Q: Show that the sum of the roots of a quadratic equation is - b/a

A: To show that the sum of the roots of a quadratic equation is -ba.

Q: Find the discriminant of the quadratic equation and describe the number and type of solutions of the…

A: According to question given that -x2-6x-9=0We have to calculate the discriminant of the quadratic…

Q: Which of the following quadratic equations contains the vertex (-5, 6) and has a y-intercept of (0,…

A: Given: - The vertex of the quadratic equation is, (-5,6) and has a y-intercept of (0,31) To find: -…

Q: Write the quadratic equation whose roots are -4 and 6, and whose leading coefficients is 1.

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Q: Determine an equation equivalent to 2x-8x + 3 = 0 obtained by completing the square.

A: Given equation  2x2-8x+3=0 Add 8 to the given equation on both sides 2x2-8x+8+3=8

Q: Write a quadratic equation in standard form with the given equation. -7,3/4 Not Graded

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Q: Determine a quadratic equation which passes through the points (0,10), (1, 6) and (-2, 24).

A: Let the standard form of the quadratic equation is y = ax2 + b x + c   where a, b and c are three…

Q: Consider the quadratic equation y = x² - 4x. If we graph the equation, where are the x-intercepts…

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Q: Which is the vertex form of the equation for the quadratic function y = %3D 2x2 - 16x + 31?

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Q: Write an equation for the quadratic graphed below: x-intercepts: (-3,0) and (2,0); y-intercept:…

A: the graph of the quadratic function is given: given that the x intercepts of the quadratic function…

Q: write an equation of a quadratic that in vertex form of (3, 0) and passes through (6, 1)

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Q: Find the quadratic equation that goes through the following points: (-1,-12), (2, 15), and (-3, 0).

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Q: Graph the quadratic equation y = 10x² – 2x – 1 by creating a table of (x,y) values.

A: To plot the quadratic equation y=10x2-2x-1.

Q: If the discriminant of a quadratic equation is 2, then the equation has

A: The discriminant of a quadratic equation is given by b2-4ac We know that when the b2-4ac>0 then…

Q: Give a quadratic equation whose solutions are x=1/2 and x=4

A: Solution: The objective is to find the quadratic equation

Q: If the zeros of a quadratic equation are -3 and 5, what be the x-intercepts

A: Given: If the zeros of a quadratic equation are -3 and 5

Q: Provide an example of a Quadratic Equation

A: Topic = Equaions

Q: Write the Quadratic equation with vertex (-1,-1) and thru (1,7)

A: Given: -

Q: Write an equation for the quadratic graphed below x-intercepts: (-1,0) and (3,0). y-intercept:…

A: The graph of the quadratic function is given by To evaluate: An equation of the quadratic function…

Q: Write the quadratic equation whose roots are -6 and 4, and whose leading coefficient is 2. (Use the…

A: Topic = Quadratic equation

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.