In the function y = ax², how would the parabola look when a = 6.5 compared to how it looks when a = 1? %3D

Q: Find the parabola with equation y=x^2+bx+c that has slope of 8 when x=9 and passes through the…

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Q: At what point does the line normal to the graph of y=5−4x+4x2 at (1,5) intersect the parabola a…

A: The given function is- y=5-4x+4x2.................1 Differentiating the above expression w.r.t. x-…

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: Find a parabola with equation y = ax2 + bx + c that has slope 11 at x = 1, slope -25 at x = -1, and…

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Q: If the x term or the (x-h) term in the equation is squared, the parabola opens up or down. O True O…

A: TRUE Proceed as explained below...

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: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: NOTE: Refresh your page if you can't see any equations. . width is w=x so the length is l=4x+2 the…

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: The solution of the problem is given in the next step.

Q: Find two positive numbers whose sum is 7 and the product of the cube of one number and the…

A: Let x and y be the positive numbers such that

Q: 2. What is the value of y anytime a parabola intersects the x-axis?

A: It is known that the value of y on x-axis is always 0.

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: A point moves on the parabola 10y = 5x² + 3 in such a way that when x = 6, the abscissa is…

A: Given: A point moves on the parabola 10y=5x2+3, when x=6 the abscissa is increasing at the rate of 2…

Q: Suppose you are given the x-coordinate of a point on a parabola. How can you find the matching…

A: According to Bartleby guidelines, only one question can be solved at a time. Kindly post other…

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: If a ball is thrown directly upward with a velocity of 50 ft/s, its height (in feet) after t seconds…

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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: 5. Compared to your current weight, what would happen to your weight if BOTH the mass AND the radius…

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Q: A piece of wire 80 cm long was about to be made a triangular and a square. The triangle is an x. how…

A: Since, the triangle is made into x, then side of triangle =x3 ( equilateral triangle) Hence, side of…

Q: What is the depth of the strongest beam that can be cut from a log whose diameter is 73.23cm if its…

A: From the given hypothesis: Diameter = 73.23 cm   which is shown in the following figure:

Q: What is the maximum area of a rectangle that is above the X- axis and below the graph of the…

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Q: Find the tangent line to the parabola x2-6y=10 through (3,5) (ILLUSTRATE SOLUTION)

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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: The parabola y = x² is shifted up by 7 units and to the left by 1 unit. What is the equation of the…

A: Equation of parabola is given as y=x2. If the parabola is shifted by a units and to the left by b…

Q: Your professor has written down a pdf for you to work with, but unfortunately she has spilled tea on…

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Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

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Q: Find the point(s) of intersection of the parabola with equation y = x2 - 5x + 4 and the line with…

A: Given equations are,

Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

Q: Find the point on the parabola y=x^2 that is closest to the point (6,3) what is the distance between…

A: Given: To find the point on the parabola y=x2 that is closest to the point (6,3) what is the…

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

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Q: If the vertex of the parabola f (x)= x² +bx+c is at (7, -4), find b and c. (Note: a = 1).

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Q: Stewart notices a shadow of the helicopter is lagging approximately 50 m behind a point directly…

A: Given that, shadow of the helicopter is lagging approximately 50m behind a point below the…

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: Solution

Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A: Let's find standard equation of a parabola.

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=6-x² What is the…

A:

Q: Write the equation of the parabola that has the same shape as f(x) = - 9x but with vertex (2,7) in…

A: Given, y=g(x)= -9x² Therefore, a=-9

Q: Find a parabola with equation y=ax^2+bx+c that has slope 4 at x = 1, slope -8 at x = -1, and passes…

A:

Q: A taken 3 hours more than B to walk a distance of 30 km. But if A doubles his speed, he is ahead of…

A: Let speed of A be = x km/h &  speed of B = y km/h.

Q: Find an equation for the parabola shown in the figure.

A: Given: The focus F-2,1 and directrix x=3 of the parabola, To find: The equation of the parabola.

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 the equation of the parabola in intercept form that has x-ints at 12 and -6 and passes through…

A: Given , x intercepts of a parabola are 12,-6.            Parabola passes through a point (14,4) We…

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: The a value in the function f(x) = 2x2 makes the parabola %3D O more wider moves it left

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Q: The cost of fuel per hour for running a ship is proportional to the cube of the speed and is P1,350…

A: The given problem is solved below in detail.

Q: Find the equation of the parabola whose vertex lies at (0,-2) and directrix at x=2

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Q: Given the parent function: y= x², write the equation to translate the parabola vertically up 4 units…

A: The function is a rule that associates or fixes a number to the particular point x. If , then the…

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

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.