Find a, b, and c, so that the graph of the quadratic equation y = ax + bx +c passes through (-2,14). (1,- 10), and (2,-6). What is the function?

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: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

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Q: find the quadratic function for which:   Vertex is 1 - 1, 22; contains the point 11, 62

A: Vertex form of a quadratic function: y=ax-h2+k        ...(1) Where (h, k) is the vertex.

Q: Find the intersection point of the line 3x-2y 0 and the line passing through the point (-1,0) and…

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

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Q: Write the equation of a quadratic function in standard form (y ax + bx + c) that passes through the…

A: The equation of the parabola passes through points and vertex will be,  f(x)=a(x-h)2+k , where…

Q: Write in vertex form the equation of a quadratic function with a vertex at (-2, 1) and the point…

A: Algebra  Quadratic equations

Q: y=ax2+bx+c

A:

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

A: I have provided solution in step2.

Q: Write the equation of a quadratic function with roots at 5 and 1, and a vertex at (3, -4). Write the…

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Q: Find the equation of the line parallel to 6x + 2y = 7 passing through the point (5, 4). y =

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Q: Find the coordinates of the point on x axis which is equidistant from (-2,5) and (2,-3)

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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: Given data: h,k=2,0 x,y=4,4 Solution: If (h,k) is vertex and (x,y) is point on a curve or graph then…

Q: Find the equation of the quadratic function f whose graph is shown below. -6 4 -2 (3, – 2) 10 12 -2-…

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Q: Find the point on the line 6x + 2y –1 = 0 which is closest to the point (-7, –7).

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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: 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 quadratic function y = ax + bx + c whose graph passes through the given points. (-1, - 11).…

A:

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: Find an equation of the line in the form ax+ by = c whose x-intercept is 30 and y-intercept is 6,…

A: The given form of equation of line is:ax+by=cThe x-intercept is 30The y-intercept is 6

Q: Find an equation of the line perpendicular to 3x - 2y = 7 that contains the point (1, 5).

A: we have to find the equation of the line perpendicular to 3x-2y=7 that contain the point (1,5).

Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: What is an equation of the line that passes through the point (-1,2) and is parallel to the graph of…

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 standard form for the equation of the line which passes through the point (2,0) and which…

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Q: Use the vertex (1,6) and a point on the graph (6,-19) to find the equation of the quadratic…

A: Given: Vertex1,6Point on the graph 6,-19

Q: Find the y-intercepts: O (-1,0) and (3,0) O (5,0) and (0,-2) O (0,5) and (0, -2) O (0.-1) and (0,3)

A: Remember that y-intercept is the point on the graph where the curve cuts y-axis. i.e. ( 0 , f(0) )…

Q: Find the equation of the line parallel to 8x+5y=3 passing through the point (6,1).

A: Please refer the attached image for complete solution.

Q: Find the equation of the line perpendicular to 3x + 5y = 3 passing through the point (5, 2). y =

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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: What is the equation of a quadratic function y = f(x) with two irrational zeros,-h and h where h is…

A: Given,         The equation of a quadratic function y=fx with two irrational zeros, -h          and…

Q: Find the point on the line y = 2x + 1 that is closest to the point (2, 2).

A: Given: Given equation of the line is y=2x+1 We want to find the point on the line  y=2x+1 that is…

Q: Find an equation of a line parallel to y-3x=5 and passing through the point (2,2) y=?

A: parallel to y= 3x + 5  p(2,2)

Q: Find the rule of the quadratic function y = ax^2 +bx+c whose graph passes through the points:…

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Q: Find the standard form for the equation of the line which passes through the point (5, –19) and…

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Q: Find the intercepts of the graph of each quadratic function. Show solutions also. 1. y = 4x^2+8x+3…

A: 1. y=4x2+8x+3 Y intercept is where x=0. So, y=4×02+8×0+3=3 So, y  intercept is (0,3)      x…

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

A:

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: 2. Write an equation for the (straight) line that passes through the points (-7,8) and (5,-10).…

A: We know that

Q: Find the equation of the quadratic functionf whose graph is shown below. (-2, 2) f(+) - I -4+…

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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: Find the point on the line 3x-4y-1=0 which are at a distance of 5 units from the point (3,2)

A: To Find: The point on the line 3x-4y-1=0 which are at a distance of 5 units from 3,2. Concept:…

Q: Find the point on the line 2x+4y+1=0 which is closest to the point (-4,2).

A:

Q: Find the point on the line 6x + 2y – 4 = 0 which is closest to the point (5, 1) |

A: Given line : 6x+2y-4=0 6x+2y=42y=-6x+4y=-3x+2 let P be the point on the line  is (x,-3x+2) Now we…

Q: 3. Determine the equation of the cubic function with zeros -1, 213 and 3, passing through (4, 5).

A:

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 the equation of the quadratic function f whose graph is shown below. 10- 8- 6- (-) = [| %3D (6,…

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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: The quadratic function one have to use here is y=a(x-h)2+k

Q: 1. Determine the equation in standard form of the quadratic function shown. 在 (-2,0) (3.0) (4, -3)…

A: Equation of the quadratic equation.