For problems 29-31, use the given graph of f(x) to sketch a graph of 29) y-f(x +3)-2 30) y =-2/(x) 31) y-f(2x) 0, 1

Q: Find an equation of the line tangent to the graph of f(x) = - 2x at (2,- 16).

A:

Q: Find an eqaution of the line tangent to the graph f(x) = 3x2 - 5x at the point (1,-2).

A: fx=3x2-5x Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Find an equation for the graph sketched below: 7- 4 -5 -4 -3 -2 2 3 -2 -3 -4 -5 -7- -8나 f(x) = 2.

A: Draw the graph

Q: Find the equation of the line tangent to the graph of y = (x3 - 1)(x2 + 1)4 at the point where x =…

A: The Slope of the line at any point is given by the derivative of the function at that particular…

Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

A:

Q: I am having trouble finding the right points to graph this function.

A:

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

A: To find a parabola with equation.

Q: It is the graph of f' (x). y = f'(x) 3+ 1 -1- -3+ 5. 3. 1.

A:

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 7 at the point (3, 2.1). y =

A: Given curve is Differentiating with respect to x, we get

Q: 3 Graph the equation f(x) = - I + 4. 4 4 2- -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 3.

A: This question is about graphing the line

Q: Find an equation for the graph sketched below 7- 4- -5 -4 -3 -2 -,VI 2 3 4 5 -2 -7- -8+ f(z) =| %3D…

A: Consider the provided graph, We need to find the equation of the above graph.

Q: The line y = -4x + 16 is tangent to the graph of 100 y : x + 6 at the point help (points)

A: Given the equation of a tangent line:

Q: Here is the graph of y = 2x – x². 2- 1- -5 -4 -3 2 3 4 y -1- -2- Find two possible functions f(x)…

A: We need to find inverse function.

Q: Find an equation for the graph sketched belo 구 -5 4 -3 -2 -1 3 4 -2 -3 -4 -6 -7- -8+ f(x) =| 3. 2.

A: The solution is given below:

Q: Find an equation of the line tangent to the graph of ƒ(x) = (2x - 1) (x + 4) at (1, 5).

A: To findEquation of the line tangent to the graph y=(2x-1)(x+4)  at (1,5)⇒y=2x2+7x-4.

Q: х3 — х2 — 12х x - - Sketch the graph of y = f(x) | ,2 x* - х — 2

A:

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: f(x) = 4 %3D f(-1) =

A: We have f(x) = 4. So,           And f(-1) = 4.

Q: {2*+1 if x<0 etch the graph of f(x)=X+3 EO

A: We will graph the problem.

Q: How can the graph of f(x) = -4|x| be obtained from the graph of y= Ixl?

A:

Q: 16. The point (6, -5) is on the graph of y = f (x), what point must be on ay 2f(-x) +1?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the equation of the langents to the graph y-x3 3x2-15x-20 at the points of the graph where the…

A:

Q: 4. Find the slope of the line tangent to the graph of 1 f (x) = 2x4 – 32x3 + 17x2 – 9x + 4 at x 2 -…

A:

Q: If f(x) = ax4 + bx3 + cx2 + dx + e, determine a, b, c, d and e so that the graph of f will have a…

A:

Q: Find the point of inflection of the curve x^3 – 3x^2 –x + 7.

A: For inflection point, second derivative is zero

Q: What is the equation of the line tangent to the graph of y = (2x+3)/(3x-2) at the point (1,5)? 13x -…

A:

Q: A market analyst working for a small appliance manufacturer finds that if the firm produces and…

A: we are given with profit equation  Lets graph the given equation  the x intercepts are (-45.224,0)…

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

A:

Q: Suppose the graph of f (x) = x1/3is vertically stretched by a factor of 3 and then shifted down…

A: Given information: The function is f(x)=x13is vertically stretched by a factor of 3 and then shifted…

Q: Find the equation of the line tangent to the graph of f(x) = ₂ at x = 3.

A:

Q: Find an equation for the graph sketched below 구 -5 -4 -3 -2 1 -1 1 4 -2 -3 -4 -5 -6 -7 of -8 f(x) =…

A: To Find the Equation for the graph.  Consider the two points from the graph. (0, 5)  and (-1, 1)

Q: Graph. Ay 10- f(x) = 5x – 6 8- Use the graphing tool on the right to graph the equation. 6- Click to…

A: The given function is f(x)= 5x - 6 Or  y = 5x - 6 Compare with  y = mx +c Slope m = 5

Q: Find an equation for the graph sketched below 7. 6- 4 2- -5-4-3 -2 -1 2 3 4 -2 -3 -5- -6 -7 -8+ f(x)…

A:

Q: Find an equation for the graph sketched below 4- -5 -4 -3 -2-1 2 3 4 5 -2 -3 -4 -5- -6 -7+ -8+ f(z)…

A: Given: To Find: Equation of fx.

Q: how can the graph of f(x)=1/(x-9)^2 + 7 be obtained from the graph of y= 1/x^2 ?

A:

Q: Find an equation for the graph sketched below: 8- 7- 2- -5 4 -3 -2 - i 2 3 4 5 -2- -7 -8- f(x) =

A:

Q: Find an equation of a line that is tangent to the graph of f(x) = x³ -3 and Perpendicular to the…

A:

Q: Find an equation for the graph sketched below 8+ 7- 6- 2- -5 4 -3 -21 1 2 3 4 5 -2 -3 -4 -5- -6 -7…

A:

Q: 4. Find the equation of a curve whose slope at any point is equal to x + + and which passes through…

A:

Q: At what point does the graph of the function f(x) = x³ – 3x has horizontal tangent ? Find equations…

A: a) Points are (1,-2) and (-1,2) b) Lines are y=-x-1, and y=-x+3

Q: Suppose (12,4) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A: Given that f(12) = 4  We will use this fact to find the answer as shown below

Q: Find an equation of the line that is tangent to f(x)= x^3+2 and parallel to the line 3x-y-4=0

A: Given f(x)=x3+2

Q: Find the equation of the family of curves whose slope at any point (x, y) is 2. y 4. equal to the…

A: We need to find the family of curves. NOTE - As per our guidelines we can not solve multiple…

Q: Find the equation of the tangent line to the graph og 8y^3-4xy^2=20 at the point (-3,1)

A:

Q: Suppose that f(x)=6x-1 and g(x) = -3x+8   Graph y = f(x) and y = g(x) and find the point that…

A: At first we draw the graph by calculating the coordinate then the intersection of the two graph is…

Q: Find an equation for the graph sketched below: 8- -5 -4 -3 -2 -2 -5 f(x) =

A: our objective is to find a f.

Q: If f(x) = 2sin (3x), the formula to compress the graph vertically by factor 4 followed by a…

A: Definition used -    If  graph of a function f(x) compressed vertically by factor a , then new…