Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 3x or g(x) = - 3x, but with the given maximum or minimum. !3! Maximum = 3 at x= -3 h(x) =

Q: b) Draw the parabola with a minimum value of -8, zeros at 2 and -2 and y – intercept of -8.

A: Answer

Q: when is the vertex of a parabola the minimun point? When is it the maximum point

A: Given query is to find that when is the vertex of a parabola the minimun point? When is it the…

Q: Find the vertex of the parabola which is the graph of  f(x) =3x2+5x-2 without a calculator.

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Q: Write the equation of the parabola that has the same shape as f(x) = - 7x but with vertex (- 6,4) in…

A: Topic- equation of parabola

Q: A parabola has vertex (2,4.8) and one x-intercept is (3,0). The other x-intercept is (?,0)

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Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

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Q: How would I find the maximum value of this parabola if the velocity is 23.4305?

A: Given equation - y = -16x20.43v2+1.15x+8Differentiating on both sides with respec to x - dydx =…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: A parabola that has the same shape as the graph of f(x) = 2x2, is f(x) = 2(x-h)2 + k with h units…

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x)= 4x²…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: 5. Write the equation of a parabola that takes a maximum value of 4 at r = -2.

A: We need to find equation of parabola.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 2x…

A: Let the standard form of parabola is y=A(x-a)2+b ⇒h(x)=A(x-a)2+b, where (a, b)is the vertex. Value…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Given

Q: 13. Write the equation of the parabola with x- intercepts at ( 3,0) and (9,0) that passes through…

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Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 2x…

A: Since the parabola has a maximum so it must have a negative leading coefficient.  So it will be of…

Q: Write the equation of the parabola that has the same shape as f(x) = 3x² but with vertex (7,6) in…

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Q: Write the equation of the parabola that has the same shape as f(x) = - 6x but with vertex (- 5,3) in…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=9−x2…

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Q: Which point on the graph of the parabola y 4x has the minimum distance between the graph and the…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 3x…

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Q: Find the equation  of the quadratic function whose graph is a parabola passing through(0,-2)(-2,12)…

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Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of 231, which…

A: Given   Vertex of a parabola (x,y)=(-5,6)           Y- intercept c=231

Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

A: f(x)=-10x2The new parabola has vertex (5,7)

Q: Which is the equation of a parabola that has x-intercepts at (2,0) and (-6, 0)?

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 4x…

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Q: h f(x) = 6x² or g(x) = -6x²,

A:

Q: The vertical line passing through the vertex of a parabola iscalled the_________

A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 6x…

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Q: What point on the parabola y=(6−x)2 is closest to the point (6​,6​)?

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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

Q: A parabola has its turning point at x = -4 and one of the x-intercepts is x = -3. What is the x…

A: Given Data: The x coordinates of the turning point of the parabola is: x=-4 One of the x-intercepts…

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated…

A: Find your answer below

Q: Write an equation in vertex form of the parabola that has the same as the graph of(x) = 4x² or g(x)…

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Q: What point on the parabola y = 6 – x is closest to the point (6,6)?

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 8x…

A: Here we have to write an equation in standard form of the parabola that has the same shape as the…

Q: · Write an equation for the parabola with vertex at (4, –1), opening upward, and with a vertical…

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Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: The rectangle has its base on the x-axis and its other two vertices above the x-axis and lying on…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Minimum value is 0 at x=11. Since we need minimum value, therefore the parabola must be an upward…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A:

Q: Find an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and…

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has…

Q: Suppose a parabola has an axis of symmetry atx = -2, a maximum height of 8, and passes through the…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: We have, fx=3x2 The above equation represents the upward parabola with vertex 0,0, Therefore minimum…

Q: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

A: The solution is as shown below

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 8x2…

A: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)=…

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.