2. Write an equation and sketch a possible graph of a cubic function with zeroes at -6 (order 2) and 2 (order 1). 31

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

A: Answer

Q: Find the coordinates of the vertex of the parabola y = x^2 - 4x + 1 using derivatives O (2, -3) O…

A: To find the vertex of the parabola by using derivatives

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

A:

Q: Given a cubic function with zeros of 1, -2 and 3, and y-intercept of 18, what is the value of the…

A:

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

A:

Q: Find an expression for the function whose graph is thegiven curve.   The bottom half of the parabola…

A:

Q: 3. Use the graph below to fill in the missing values. 4 2 fx) f(0) f(z) = 0 z = (0) =

A:

Q: Try to observe the graphs below : y = f(x): y= f(x) 2 y3f(x) y = f(x) 0. (a) (b) (c) (d) Activity:…

A: The objective is to solve the above question.

Q: The table shows the number of llamas born on llama ranches worldwide since 1988. Find a cubic…

A: Draw the graph using the graphing utilities and fins the function that best fits for the data: The…

Q: Suppose that |(3x4-x2) dx=Ax+Bx³+C, for constants A, B, C. What is the value of C if the curve…

A:

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

A: We have to find the equation for the graph sketched.

Q: a. For what values of a and b will x 2 f(x) = be differentiable for all values of x? b. Discuss the…

A: Part (a)   Given:

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: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: 8. Complete the square to place the following function in vertex form. y = -x2 - 6x - 6 9. Give the…

A: given y=-x^2-6x-6   Vertex form= A(x-B)^2+C

Q: Find an equation for the graph sketched below 2 -5 -4 -3 -2 -1 I2 3 4 5 -2 -3 -4 -5 -6 -7 f(x) = %3D…

A:

Q: 25. What are the coordinates of the vertex of the parabola given the function f(x) = x2 + 8x-3 %D

A: f(x) = x2+8x-3 From the above equation we can see that the highest power of y is 1 and x is 2. This…

Q: 6) Sketch the graph of f(x) = 2¬² +1

A: To sketch the 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: Find a point on the parabola y - x* + 9 which is closest to the origin.

A:

Q: Please confirm if the selected answer is correct ?

A:

Q: 19. Which of the functions graphed below could be defined by a cubic equation? y 8 7 -5 4 3. 1-…

A: The solution are next step

Q: The rectangle shown here has one side on the positive y-axis, one side on the positive x-axis, and…

A: Given that the rectangle shown here has one side on the positive y-axis,one side on the positive…

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

A:

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

A: The function in the form f(x,y,z)=C is called a multivariable function. If z=g(x,y), then the…

Q: 22. Find the function for a parabolic arch that has a base length of 24 feet and a height of 36…

A: Equation of parabolic curve is given and in form X^2 = 4aY

Q: (a) On the same diagram, sketch the graphs of y=x and y = |2x−1|.

A:

Q: The graph of f(x) = 5(x - 3)2 - 2 is a parabola that opens upward with its vertex at (x, y) = | and…

A: We have to find the vertex of the parabola and its minimum value.

Q: Sketch the graphs of the following cubic equations onto graph paper. (x) - х' - Зx? -6х +8 b (x) -…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 5. Find the equation of the following parabola in standard form: f(x) =

A: Given: From the given graph of the parabola, it intersects the x-axis at x=1 & x=3, so it has…

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

A:

Q: Write a cubic function whose graph is shown. (-3, 0)AY (-6, 0) | 4 (3, 0) 8- 8 x (0, -9) f(x) = %3D…

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: 8. Find the function that will generate the points on a parabola that opens down, has a base of 4…

A: A parabola has base 4 and height 6

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

A:

Q: Sketch the graphs of x2 = 4py for p = 1/4, 1/2, 1, 3/2, and 2 on the same coordinate axes. Discuss…

A: To sketch the graph of x2=4py for p=14, 12, 1, 32, and 2 on the same coordinate axes.

Q: Find an equation for the graph sketched below 81 7. 6 5. 4- 2- 54-3-2 - 1 1 2 3 4 5 -2- 3. -4 -6 -7…

A: We use here exponential form.

Q: ?(?)=?^2−14?+ 24 a. Express f(x) in standard form b. Does the parabola open up or down? What is…

A:

Q: Write a cubic function whose graph is shown. AY A (-2, 4) 4 (2,0) -4 -2 4 x (-3,0) (-1, 0) -8 f(x) =…

A:

Q: 2 / Sketch the graph of function y = + 3x

A: We have to sketch the graph of the given function   The given function is   y=2x+3x

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)…

A: The quadratic function is given by fx = 2x-32+1 To evaluate : The vertex of the parabola defined by…

Q: Find an equation for the graph sketched below 8- -54 3-2 -2- -7- f(z) = %3D 6.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: a) Suppose that 5, 2, and 3 are the solutions of a cubic equation. Sketch a graph of the…

A: Topic:- polynomial function

Q: Write a cubic function whose graph is shown. Ay (-5, 0) (4, 0) 8 8 x 4(2,-2) (1, 0) 8. f(x) =

A:

Q: 9. How would I be able to tell apart a parabola and a cubic function just by looking at their…

A:

Q: 1. Find the point on the parabola y = 3 – x² that is closest to the point (6, 0).

A:

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

A:

Q: Match the graph with the appropriate model. 5 1. cubic -10 10 10 2. inear -10 10 10 3. quadratic -10…

A:

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

A: