f(x) = – x² - 10x – 9 Find the following for this parabola: A) The value of f( – 5): -

Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  Vertex: (2/3 ,…

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Q: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.

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Q: 1. For the quadratic function f(x) = x² + 6x + 11: a) Write the function in the form f(x) = a(x –…

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Q: Finally, determine a. The parabola passes through the point (0, 5). Substitute the values of x and y…

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Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope −12 at x = −1, and…

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Q: Graph ƒ(x) = 1/(1 - x) and its quadratic approximation at x = 0. Then zoom in on the two graphs at…

A: Given:

Q: 3. f(x) = -0.25x+ 8x - 2 Sketch: Opens: Vertex: Equation for Axis of Symmetry:

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Q: Find a parabola with equation  y = ax2 + bx + c  that has slope  13  at x = 1, slope  −19  at x =…

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Q: 7. Determine all values of a that will cause the parabola y=ax² +10x+1 to cross the x-axis at two…

A: 7) y=ax2+10x+1 ...................eq (1) For parabola to cross the x- axis put y=0 0=ax2+10x+1…

Q: Consider the parabola y = -x +4x + 9 and the line y=2x + 1. Solve for the x-coordinates at their…

A: x - coordinates of the point of intersection = ?

Q: In the xy-plane, a line that has the equation y = c for some constant c intersects a parabola at…

A: in the xy-plane a line that has the equation y=c for some constant c intersects a parabola at…

Q: ,2 The vertex of the parabola of f(x)=x²+x is

A: Equation of the parabola :y=a(x-h)2+kwhere (h,k) = vertex of the parabola

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: Find the asymptodes of Hx)= x²- 5x+6 the funchion given below X-2

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Q: 2. f(x) = 2 - 5x + 2x Sketch: Opens: Vertex: Equation for Axis of Symmetry:

A: The quadratic function is f(x)=2-5x+2x2 Let the function of the form f(x)=ax2+bx+c, if a > 0 then…

Q: The parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

Q: Graph the parabola: f(x)=0.5x^2-2. Show all work.

A: We have given a function,

Q: 9) Find the point on the parabola y = 10-x² closest to the point (0, 5.5).

A: Given question:- Find the point on parabola y= 10-x2 closest to point (0,5.5)

Q: Determine the vertex for the following parabola. f (x) = 7x2 + 3x – 4 -

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Q: Find all possible oblique asymptotes 2r/2 + 2x – 3 y = Vx + 1

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Q: Find an equation of the form f(x)=b·a¯* +c __that has the horizontal 2. asymptotes at y = 350,…

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Q: Find the point on the parabola y = (x – 3)² – 5 that is closest to the point (0,0). |

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Q: Find all the hypercritical values of the function. 45 1 f(z) 6. 10 %3D - - - 3 2

A: Given : f(x) , 16x6-103x4-452x2Concept : Hypercritical values of f(x) are the values…

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A: Given function for height - s = -16t2+96t+112Differentiating on both sides with respect to t - dsdt…

Q: Find all possible oblique asymptotes

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

Q: Find the point on the parabola y = x³ that is closest to the point (1, 2) with two digits accuracy…

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Q: of f(x) = ax2 + bx +c Determine the equation the parabola in the form

A: Given equation of parabola  fx=ax2+bx+c which passes through (0, -4), (1, 0) and (2, -4).

Q: 4. A coastline is given by y2 = x+3 with the ocean being to the right of the curve. If a boat crew…

A: Solution

Q: Find the point(s) on the parabola x =y closest to the point (0,3)

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Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given query is to find the equation of the paraola.

Q: Let f (x) = 1x² +6x+8. Find the x-coordinate for the parabola's vertex. Round your answer to the…

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Q: Find the point on the parabola (y = x2/2) that is closest to the point (-4,1)

A: Use distance formula to evaluate

Q: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

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

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Q: Consider the following. 2 X- 3 x² - 3 x (a) Find the points of intersection of the curves. (x, y) -…

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Q: Determine the vertex of each parabola. 1. f(x) = x² + 2x – 15 - axis of symmetry: x = -1

A: We have to find vertex

Q: Find the maximum value of the parabola using the following equation: f(x)=-x^2+4x+3

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Q: Determine equation in factored form for the function, f(x), shown on the graph. y Intercept (0,6)…

A: By looking at the graph it can be said that the function is of order 3. Here, the x-intercept is…

Q: The parabola y = Px² + Qx + R_passes through the coordinate (1,1) and has b. Determine the values of…

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Q: Find the x intercept(s) and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If…

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Q: 1. Give the (x, y) coordinates of the vertex of the parabola y= x - 2.x + 5, and indicate whether it…

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Q: Fnd the x uterceptis) and the coordinates of the vertex for the parabola y=x+10x+25. If there is…

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Q: Find the point P on the parabola y = x2 closest to the point (57, 0). (х, у) %3D ]-«

A: Given the equation of parabolay=x2         ........(1)

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: Find the x-intercept(s) and the coordinates of the yertex for the parabola y =x´ +4x+4. If there is…

A: The given parabola is: y=x2+4x+4 To find the x-intercept and the coordinate of the vertex for the…

Q: 33) Find the points of intersection between the line x - y - 2 = 0 and the parabola y = 4 - x 2.

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Q: Find the shortest distance from the origin to x2 − y2 = 1.

A: Definition used-         The shortest distance from a point to curve is the perpendicular distance…

Q: Use the derivative to find the vertex of the parabola. y= -2x-8x +4 ..... The vertex is (Type an…

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Q: Determine the coefficients a, b, and c of the parabola y = ax² + bx +c that passes through the point…

A: Solution is here