, Consider the function f(x) whose graph is a parabola with a hole in it. Give the equation of this parabola, f2(x), as well as the 1 coordinates of the hole. f2(x) = Coordinates of hole: (

Q: Sketch the graph of f.

A: The function fx=ex2

Q: f(x) = −x2 + 6x − 12 y-intercept(x, y)=

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Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function…

Q: The domain of the function ,y) = In[x* +y² – 1) is:?

A:

Q: Here is a quadratic function I made for review: f(x)= x^2 + 4x - 6 What are the x and y…

A: Given Function :

Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

Q: Find the point at which the line f(x) = - 2x +4 intersects the line g(a) = -a

A: Given, f(x)=-2x+4 and g(x)=-x

Q: Find the function f whose graph is obtained by shifting the parabolay = x 2 by 3 units to the right…

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Q: The range of the quadratic function f (z) is the set of real numbers less than or equal to 1. If the…

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Q: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

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Q: Sketch the graph of the curve f(x)=3x³ - 3x + 2

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Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 6, (15,…

A:

Q: Find the equation of the line tangent to the graph of f(x)=5x^{3}+6x^{2}-6x-3

A: This question is related to functions, We will solve it using given information.

Q: Sketch the graph of the function. f(x, y) - 4 - x - 4y2

A: Sketch the given function

Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

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Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

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Q: The point of the given function at (2, -7) is found to be y = x3 – 2x2 – 4x + 1

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Q: Find the minimum and maximum point of the function f(x)=x3-3x+1

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Q: The slope of the secant line of the square root function at x-4 and x-9 is and the y-coordinate of…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find the x- and y-intercepts of f and sketch the graph. Approximation of graph will suffice. 1) f(x)…

A: For x-intercept : put y = 0 and For y-intercept : put x= 0

Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 4, (15,…

A:

Q: State the equation of the oblique asymptote of the function g(x) = 4x² +5x+2 x + 2

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Q: Find the equation of the line tangent to the graph of f(x) = 4x + 5x? – 4x – 3 at a = -7

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

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Q: Examine the following functions for maxima-minima and trace the curves. a. Y = x* +1 a²x b. Y=-…

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Q: find out the concavity, points of inflection, local maxima and minima and sketch the curve of the…

A: Given function is: y=x2-10x4 Then we get, dydx=4x2-10x3×2x-10dydx=8x3x-5x-103 The function has its…

Q: Find the area of a triangle bounded by the y-axis, the line f (x) = 12 − 4x, and the line…

A: From the given information:F(x) = 12-4xSlope of the f(x) is m = - 4So, slope of perpendicular line…

Q: Given that a function y=x3, has a vertex at (-2,0), a local maximum at (-1,3), and a local minimum…

A: Given that a function y=x3, has a vertex at -2,0, a local maximum at -1,3, a local minimum at -3,-3,…

Q: What is the equation of the function for a parabola that moves 2 units to the right of the origin, 2…

A: Given parent function is f(x)=x2

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: For what values of x does the graph of f(x) =x³ + 9x² +x + 5 have a horizontal tangent?

A: GIVEN : f(x) = x3 + 9x2 + x + 5

Q: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: Use the function’s equation .f(x) = 2x2 + 12x + 703, and not its graph,to finda. the minimum or…

A: Given function is fx=2x2+12x+703. We know that if fx=ax2+bx+c then maximum or minimum value occurs…

Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: Find the equation for a radical function.in the form y = avx-h+k with intercepts of G.0) and (0,-1).

A: Consider the intercept points, 54,0    and    0,-1

Q: Consider the function: f(x)= 4x^2-9/-x^2+x+6. Find the equation of the vertical asymptote(s)(if…

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Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = 2lxl.

A: Solution: Consider the graph of function f(x) = x which shows in the pink color below. Now, define…

Q: Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z2 =…

A: This is a problem of 3 dimensional equation. Multi-variable calculus.

Q: Find the equation of the line tangent to the graph of f(a) 3a+ 2a - 7 - 4 at

A: given…

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: Find the equation of the horizontal asymptote for the function f(x)= 2 - (x / x2 -25)

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Q: The function f(x) = Y2x²+1 has a horizontal asymptote at 3x-5

A: We say that Line y=L is a horizontal asymptote of the function y=f(x), if either limx→∞f(x)=L or…

Q: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local…

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Q: The quadratic function f is defined as f(x) = - (x+ 2)^2+ 3 Consider the graph of y = f(x) in the…

A: topic - graph of quadratic equations f(x) has vertex at (-2,3)  and y intercept at (0,-1)

Q: Write the equation of the line tangent to the graph of f (x) = -3x² + 5x + 1 at x = 1 and use it to…

A: We have to find the tangent line equation and also we have to approximate f(1.2).

Q: Use the graph of the transformation of the square root function to find a formula for the function.…

A: Here in the given question, we have to find the graph of the given function.   the graph of the…

Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…

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Q: Express the solution as a piecewise-defined function and think about what happens to the graph of…

A: (c) In this question, we have to use the property of the Heaviside unit step function about t=5.…

Q: Why must a cubic function have at least one x-intercept

A: A cubic function with REAL coefficients can have either one x-intercept or 3 x-intercepts. This is…