4. Find, in factored form, the cubic function y in the graph. Let the leading coefficient be a if necessary. 10 -10-

Q: 8 Write a polynomial equation for a graph that passes throu (1, 0), and (3, 0).

A: Question no. 8-48,Given,          The polynomial passes through the point -1,60 and has three…

Q: Find, in factored form, the cubic function y in the graph. Let the leading coefficient be a if…

A: Topic- Function

Q: Q5. Find the quadratic function ffx) = ax +bx +cwhose vertex is (3, 4) and y-intercept of (0. 1).

A: Given: quadratic function is  f(x)=ax2+bx+c........(1)   since y-intercept is (0,1) ⇒f(0)=1 so…

Q: 5. Use the calculator to find the following. Round to the n y = -2x3 + 3x² + 2x- 4 a. Maximum b.…

A:

Q: The shaded region between the graphs of y = - 2x² + 20 and y = 3x – 15 is displayed below in orange.…

A: see below the answer

Q: Sketch the graph of the following quadratic function by method of factoring or Quadratic formula to…

A:

Q: 6. Determine the vertex and the axis of symmetry for f(x) = 3x2 – 5x + 12

A: We have given a quadratic function.  We have to find the vertex and line of symmetry

Q: 6. The diagram below shows a rectangle inscribed in a right triangle having a base of 12m and a…

A:

Q: A box is formed by cutting squares from the four corners of a sheet of paper and folding up the…

A: Solving part c, as requested: Given: x is side of square cutout in inches, then graph of volume of…

Q: The vertex of the parabola f(x) = x² + 6x + 5 is о (-3, -4) О (-9, —4) О (-6, —4) о (-3,1) о (-6, —…

A: Find the vertex of the parabola of the function y=f(x)

Q: The graph of quadratic function p is shown on the grid. 10 +3,5) 10,5) -10-8-6 t0 x 10 k(x) = x and…

A:

Q: Write an equation in vertex form a(x-h)^2+k for the quadratic graphed below 31 2 -5 -4-3 -2-1 1. 4…

A:

Q: Let ?: ?—> ? be the quadratic function defined by ? ? = −2? 2 + 4? + 6. Find the vertex, axis of…

A:

Q: The graph shows a city's daily rate of use of electricity (in millions of kilowatts). Estimate the…

A: The solution is given below:

Q: 2. Write a possible equation for a polynomial whose graph has horizontal intercepts at x = 2, 1 -3.…

A: In this given question we have to find equation of polynomial whose graph has horizontal intercept.

Q: The shaded region between the graphs of y = - 2x2 + 20 and y = 3x – 15 is displayed below in 25 -6

A: Given that: Shaded common region of y=-2x2+20   .......(1) and y=3x-15 ........(2)

Q: 3. Find the values of b and c so f(x)=-8x² + bx+c has vertex (2, -7).

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4. a. Use the vertex formula to determine the vertex of f(x) = 2x + 12x + 19. b. Based on the…

A:

Q: 5. Given the area of a rectangle is A = bh. If perimeter of the rectangle is 2b + 2h = 20, maximize…

A:

Q: Find, in factored form, the equation of the quartic function y that has been graphed. Let the…

A: We have to find the quartic equation represented by the given graph.

Q: O. Sketch the graph of y = -2sin (3x – n)

A: The given function is  y= -2sin(3x-π)

Q: Suppose (P. Q) is the point on the graph of y=x closest to (1, 0). What is the value of P+ Q? Square…

A: NOTE: Refresh your page if you can't see any equations. . the given point is  the given equation is…

Q: A rectangle is bounded by the x-axis and the semicircle  y = square root of (49-x^2)  (see figure).…

A: Let the length along the x axis is = 2x So the height= 49-x2 So the area is: A=2x49-x2

Q: If 14, 22 is a point on the graph of y = f(x), which of thefollowing points must be on the graph of…

A: Given that 4, 2 lies on the graph of y=fx. That is, f4=2.

Q: 13. Graph the following quadratic functions identifying and labeling the coordinates of the…

A: The given equation is fx=-2x2-5x+1.

Q: Find, in factored form, the cubic function y in the graph. Let the leading coefficient be a if…

A: First identify the zeroes of the given cubic function and also value at x = 0 than write the…

Q: how can i flip this on a graph (x-3)^2(x+1)^2 i need the complete factored form of f(x)

A: Solve the given problem

Q: 8. If h(x) = -x3 +4x2 and k(x) is graphed below, what is the value of h(k(-3))? -2- 2

A: If hx=-x3+4x2, and kx is graphed below, then to find the value of hk-3.

Q: Suppose (P, Q) is the point on the graph of y=Vx closest to (1, 0). What is the value of P+ Q?…

A:

Q: Suppose (P, Q) is the point on the graph of y=/x closest to (1, 0). What is the value of P+ Q?…

A: To solve the following problem of finding the closest point to (0,1)

Q: Determine the values of b and c if f(x)=÷x* 1 x²+bx +c has vertex 3 ,6 5

A:

Q: 3. The following is the graph of the reciprocal of a quadratic function with the labeled point (1.5,…

A:

Q: 13. a) Determine the quadratic function that has zeros at -3 and -5, if f(7) = -720. b) Determine…

A: Soution is here

Q: 3. Graph the following quadratic function. Rewrite in the form f(x) = a(x-h)² +k and identify…

A: Graph the quadratic equation  f(x)= 2x2-8x+7  Also , write this equation in the form of a(x-h)2+k…

Q: Find the vertex of the Quadratic y = – + O The correct answer isn't listed ㅇ (금, 13 100 5 107) 4' 32…

A:

Q: 10 10 What are the roots of the quadratic function in the graph?

A: The roots of the quadratic equation is the x-intercept point.

Q: 12 Find the possible values of b if the point (3, 4) is six units from the graph of 2x + by + 3 = 0.

A:

Q: Select the graph ofr = 4- 3sin 6. 24 6 8 15 11 a 13x 2 15

A: Given the parametric equation

Q: Suppose (P. O) is the point on the graph of y=/x closest to (1, 0). What is the value of P+Q? Square…

A:

Q: Which graph represents the solution to 2x + 4 < 2? A + -1 0 1 + -5 -4 -3 -2 2 3 4 5 B + + -5 -4 -3…

A:

Q: A 9. Which of the following points is not part of the quadratic function y = x + 4x – 9? O (1, –4) O…

A:

Q: 13. Graph the following quadratic functions identifying and labeling the coordinates of the…

A: y=-2x2-5x+1 first we find  out the x intercept Replace y with 0  and solve for x 0=-2x2-5x+1Apply…

Q: 2. Find the coordinates of the midpoint between the two points on the graph. 1013 AM 4/7/2021

A: Use formula of midpoint

Q: Suppose (P. Q) is the point on the graph of y Vx closest to (1, 0). What is the value of P+ Q?…

A: Given: Point (P,Q) lies on y=x    Then (P,Q) satisfies y=x  then     Q=P Then P=Q2 Distance of point…

Q: 50 A graph of a quadratic function is shown on the grid. y 5. 4 -5 -4 -3 -2 -1 3. 4. -1 -2 -3 -5…

A:

Q: 10. Write the equation of the quadratic graphed below 10 10 -10 (0,5) (2,3) 0 -5 -10- ((116) 5

A:

Q: Find, in factored form, the cubic function y in the graph. Let the leading coefficient be a if…

A:

Q: Find, in factored form, the cubic function y in the graph. Let the leading coefficient be a if…

A: We have to find the cubic equation.

Q: 12. The path of a ball is modelled by the following quadratic function: where t represents the time…

A: Given : The path of a ball is modelled by the following quadratic function h(t)=-5t2+60t+100   where…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.