20. Suppose that on a parabola with vertex V and focus F there exists a point A such that AF = 20 and AV = 21. What is the sum of all possible values of the length F V ? 41 40 (В) 3 43 (Е) 3 (A) 13 (D) 14 3

Q: y = 2(x+3)2 %3D y = 4(x+3)² For the quadratic equations shown here, which statement is true? A) The…

A:

Q: The graph of glx) is shown below. Determine x for g(x) = -1 ISEE

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

Q: determine the equation of this parabola

A: The general form of the parabola is y=ax-h2+k where h,k is the vertex of the parabola.

Q: If the line X equals three is the axis of symmetry of a para bola , Which coordinates below could be…

A: The axis of symmetry is a line, that divides the parabola into 2 equal halves. For the parabolas of…

Q: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)

A:

Q: A quadratic function with the vertex `(4,-1)` and the point `(5,1)` is represented by which of the…

A: Vertex (4,-1) and point (5,1)   We have to find quadratic function

Q: Determine the coordinates of the point P on the parabola y = 9 - ² that is closest to the point A…

A:

Q: What is equation of this graph

A: Equation of straight line : y = mx + b From the graph : y = x(t) and x = t Now, Equation Of straight…

Q: A) the Y-intercept increases by 30 units for each unit increase in X B) that Y decreases by 30 units…

A: Y = 10 - 30X

Q: 2. Select the quadratic equation of the graph below AND JUSTIFY YOUR ANSWER. a. y = (x+2)² +1 b. y =…

A: we can easily seen that in the graph when x=0 then y=2 and  when x=-2 then y=1 these points satisfy…

Q: (c) Write an equation in standard form of the parabola which has its vertex at (5, 2).[Hint:…

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

Q: A parabola is modelled by the function g(x) = -(x – 4)² + 9. a) Sketch the parabola. Label the…

A: We find the values and skech the graph.

Q: The vertex of the parabola f(x) =-(z-9)² + 2 is

A: Given function of parabola is, f(x) = -(x-9)2+2

Q: In the xy-plane, the graphs of y = 2* and y = x? - 10x + 19 intersect at the point (r, s). What is…

A: Given: In the xy plane, the graphs of y=2x and y=x2-10x+19 intersect at the point r,s.

Q: 11.(T) A parabola has a y-intercept of -4 and passes through points (-2, 8) and (1, -1). Determine…

A: find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways) through…

Q: GIVEN: f(x) = x² + 4x - 5

A: Given equation is:

Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

A: Consider the x-intercept of line as a and y-intercept of the line as b.   The intercept form of the…

Q: The vertex of the parabola f («) — г? + 10х + 4 is о (-15, —21) о (-10, —15) (-5, –17) (-10, –21)…

A:

Q: is there a parabola that passes thru the points (1,2)(2,9)(3,19)(-1,2)

A: We are solving one question of it if you you want the solution of another question then submit the…

Q: 1. f(x) = 2(x + 1)2 + 3 a) What is the sign of the leading coefficient? b) Does the parabola open…

A: The leading coefficient is = 2 It is a positive number Answer(a): Positive

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: 0²) ()' D Question 5 Find the vertex of the parabola by applying the vertex formula. f(x) = -…

A: Here we find the vertex of given parabola.

Q: 6. Zeros a) Write the equation of the given parabola Factors 2 f(x)=(x )(x ) 4 -3 -2 3 4 -1 -1 6…

A:

Q: 4 y-fx) 36) Use the graph of the quadratic function to write it as: f(x)-a(x -h)'+k 26 -4-2

A: The graph is downwards parabola whose equation is (y-k)=a(x-h)^2, where (h,k) is the vertex of…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.