Use the vertex (h,k) and a point on the graph (x,y) to find the general form of the equation of the quadratic function  (h,k)=(-4,-1) (x,y)=(-6,3) 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 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: To put the quadratic function f(x)= ax2 + bx + c instandard form, we complete the____ .

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Q: The height, h of an object projected upward at velocity vo and an initial height ho is given as a…

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Q: Determine the quadratic function f whose graph is given.     The vertex is (3,−4) and the other…

A: Given :- The vertex is (3,−4) and the other given point is (2,-1).

Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

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Q: show that the 2x2-y2=C is a solution to yy'-2x=0.

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Q: Based on data from a research group, a model for the total stopping distance of a moving car in…

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Q: Find the quadratic function y = ax² + bx + c whose graph passes through the given points. (1,2), (–…

A: Here given that y=ax2+bx+c...(1) which passes through (1,2), (-1,-8), (-3,6) To find a,b, and c for…

Q: Find a, b, and c, so that the graph of the quadratic equation y = ax + bx +c passes through (-2,14).…

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Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…

A: Given: vertex at 3,5 and it contain the point 2,3

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

A: I have provided solution in step2.

Q: 2. Rewrite the quadratic function y= x²+5x-4 in vertex form.

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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: Approximate the solution(s) to x3-2x+2=0 using a graphing utility

A: x3-2x+2=0

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -x2 -…

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

A: To form the quadratic equation from points (1,-1),(-1,-5),(2,10)

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2x2 +…

A: The given quadratic function f(x) = -2x2 + 8x - 1   Known fact: The standard form of the quadratic…

Q: Use the vertex (2,8) and a point on the graph (0,4) to find the equation of the quadratic function…

A: Given: the  vertex is 2,8 and a point 0,4. To find : the equation of quadratic function fx.…

Q: Find the X and Y intercepts of  y= 1 - the square root of 1 -x2

A: Given,

Q: Write the quadratic function in  f(x) = a(x − h)2 + k form whose points on the graph are (-1,-5)…

A: The given function is- fx=ax-h2+k Since, fx=y Hence, the quadratic function can also be written as-…

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…

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

Q: Find a formula for the quadratic function whose graph has its vertex at (−3,2) and its y-intercept…

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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: Find the quadratic function using the given roots 1. (-3 2 ,0) and (1,0) 2. (2 3 ,0) and (-3,0)

A: We can find the quadratic functions as below.

Q: Find the general equation of a quadratic function whose graph passes through the origin and has a…

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Q: Solve (x + 2)x 4 geometrically by constructing a line segment of length x .

A: We can expand it by multiplying x inside bracket then it is parabola equation then draw the parabola…

Q: Find the equation of a quadratic function having the x-intercepts a(-4,0) and b(3,0) and passing…

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Q: Find a formula for the quadratic function whose graph has a y-intercept at y=7 and x-intercepts at…

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

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Q: X-zy+13=0 y - 4x =17

A: The given equations are x-2y+13=0 or x-2y=-13.....(1) y-3x=17 or 3x-y=-17.....(2)

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

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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: y = 2x2 − 20x + 52,

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Q: 2. Determine the equation of the quadratic function which passes through the points (-2, -20), (1,…

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Q: Find the quadratic polynomial whose graph goes through the points (-1, 3), (0, 1), and (1,7). f(x) =

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Q: Express the quadratic function f(x) = x² – x - 6 in vertex form, and sketch its graph (showing…

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Q: find the Quadratic function y=ax2+bx+c whose points pass through the points (-1,6), (1,4), (2,9)

A: How to solve: you need to find the value of three variables, so you will three equations for that.…

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

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Q: Approximate the solution(s) to x3 - 2x + 2 = 0 using a graphing utility.

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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…

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Q: Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).

A: You are looking for a function with:quadratic functionPoint at (-1|-2)Point at (2|1)Point at…

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 solution such that y' = 2(2x – y) passes through the point (0, -1).

A: From the given differential equation: y'=22x-y So, we can also write as: dydx=4x-2y....(1) Now use…

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: Which is the vertex form of the equation for the quadratic function y = 2x2 - 28x + 101? Oy = 2(x-…

A: The quadratic function y=2x2-28x+101, we have to find the vertex form of the equation for the given…