Find a function whose graph is a parabola with vertex (4, -3) and that passes through the point (3, -1). f(x) =

Q: Find all points of the graph of f(x) = 3x2 + 9x whose tangent lines are parallel to the line y - 57x…

A: Solution: Two lines are parallel if they have same slope.

Q: Apply derivative to determine the vertex of the parabola y = x² + 2x + 2.

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Q: find a function f whose graph is a parabola with a given vertex and that passes through the given…

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Q: Find the equation for the curve in the xy-plane that passes through the point (1, -1) if its slope…

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Q: The graph of f(x) = -3(x – 3)2 - 5 is a parabola that opens --Select--- v, with its vertex at (x, y)…

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Q: Find a function whose graph is a parabola with vertex (7,8) and that passes through the point…

A: we have to find a function whose graph is a parabola with vertex (7,8) and that passes through the…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: To find the parabola equation in terms of x.

Q: Hello. Can you please explain this problem to me?

A: Slope of the function is the derivative of the function.

Q: The graph of f(x) = 4(x - 4)2 - 7 is a parabola that opens --Select--- v , with its vertex at (x, y)…

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Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given the vertex (h, k) = (2,-1) The parabola

Q: Find a function whose graph is a parabola with vertex (7, 8) and that passes through the point (6,…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find a parabola with equation y = ax² + bx + c that has slope 4 at x = 1, slope -16 at x = -1, and…

A: We know slope of a curve y=f(x) is given by, dydx=f'(x)

Q: Use the derivative to find the vertex of parabola. y = -2x2 + 12x - 5

A: Given equation of parabola is y=-2x2+12x-5. To find the vertex using derivative. Solution: We know…

Q: Find an equation of the line tangent to thegraph of ƒ(x) = x3 + 4x at (1, 5).

A: Given: The graph is expressed as fx=x3+4x To Find : Equation of line tangent to 1,5  The equation of…

Q: Find the point on the curve y = /2x + 3 which is closest to the point (5, 0).

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Q: The graph of f(x) = 3(x – 4)2 - 3 is a parabola that opens ---Select--- ♥ with its vertex at (x, y)…

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Q: Find an equation of the curve that passes through the point (3, 1), and has the given slope y′ = −…

A: Given that y'=-y5xdydx=-y5x

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

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Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is…

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Q: Find an equation of the line tangent to thegraph of f(x) =3/x at (2,3/2)

A: Given: y=fx=3x, 2,32 for finding of equation of tangent at given point we need slopem of tangent at…

Q: Find the equation of the line tangent to the graph of f(x) = 4x° + 6x2 – 6x – 5 at x = -6. %3D

A: The function is given by fx = 4x3+6x2-6x-5 To evaluate: The equation of the tangent line to the…

Q: х-у+2z (2,0, – 3) 2x + у-z'

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Q: Find a function whose graph is a parabola with vertex (1, −3) and that passes through the point (5,…

A: The parabola has a vertex at ( 1, -3) and passes through a point ( 5, 13 ).That is, (x, y) = ( 5,…

Q: Find a function whose graph is a parabola with vertex  (7, 8)  and that passes through the point…

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Since the graph is of a parabola so the function must be a quadratic.

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

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Q: Find a function whose graph is a parabola with vertex (5, -4) and that passes through the point (1,…

A: Please refer the attached image for complete solution.

Q: Find an equation of the curve that passes through the point (0, 2), and has the given slope y′ =…

A: y'=x4y, (0,2) Formula ∫xndx=xn+1n+1+C

Q: Find the member of the curve whose slope at any point is 2e** and passes through the point (0, 1)

A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

Q: Find the point on the graph of f(x) = √x that is closest to the point (6, 0).

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: Find an equation of the curve that passes through the point (1, 1), and has the given slope y′ = −…

A: y'=-9x16yPasses through (1,1)Formula∫xndx=xn+1n+1+C

Q: Find the curve in the xy-plane that passes through the point (4,8) and whose slope at each point is…

A: The curve in the xy-plane that passes through the point (4 , 8 ). Slope at each point is 3√x . We…

Q: The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is…

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Q: Find an equation of the curve that passes through the point (0,1) and whose slope at (x, y) is 11xy

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Q: Find a function whose graph is a parabola with vertex (5, -2) and that passes through the point (4,…

A: To find a function whose graph is a parabola with vertex 5, -2 and that passes through the point 4,…

Q: Compute the equation of the horizontal asymptote of the curve y = (2x- 1)/ (x + 2). y = 2 x = 2 X =…

A: Given; y=2x-1x+2   As we know that; To calculate the horizontal asymptote, solve the limit…

Q: Find an equation of the tangent line to the graph of y = 2x² + 3 that is parallel to the line 8x - y…

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Q: Find a function whose graph is a parabola with vertex (2,3) and that passes through the point (3,6).

A: To determine the function.

Q: Find the equation of the line tangent to the parabola y = x^2 -1 at the point (-2,3).

A: Given the parabola :

Q: Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (1,…

A: Topic =Parabola

Q: Find the function whose graph is a parabola with vertex (1, -4) which passes through (7, 8) Express…

A: Here, vertex is (1, -4) and the passing point is (7, 8).

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

A: To find the equation of family of curves whose slope is given .

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: find a function whose graph is a parabola with vertex (1, -2) and that passes through the point…

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Q: Graph the given parabola by determining the vertices and using first derivative test y = 3x4- 8x +…

A: Given parabola:                              y=3x4-8x3+6x2            Let's find the y-intercept for…

Q: Find a function f whose graph is a parabola with vertex (2, 4) and that passes through the point…

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