6 Fig.11.51 shows part of the curve y = 5 + 4x-r². A is the maximum point of the curve. Find (a) the coordinates of A, (b) the equation of OA (c) the area of the shaded region. Fig.11.51 0 y=5+4x-** X

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: An isosceles triangle has one vertex at the origin, with its other two vertices above the origin and…

A:

Q: 5. A farmer has 800 m of fence to construct a pen as shown. a) Write an equation to express the area…

A: Given that total fence length is 800m.

Q: One of the stationary points of the Uncuon Is this a maximum or minimum point of the graph?

A: Given: y=4x5-6x3+x2-2 The stationary point is (-1,1).

Q: x X A rancher has 3000 feet of fencing with which to construct adjacent, equally sized rectangular…

A: It is given that the total length of the fencing is .Let  be the total length of the fencing.Then,…

Q: 3.a) A curve is defined by the function f(x) x - 6x² - 15x - 1 (i) Find the maximum and minimum…

A: Answer is mentioned below

Q: The graphs labeled (a)–(d) in the given figure represent y = 3x, y = 5x, y = (1/3)x, and y = (1/5)x,…

A: given: the four graphs of the function are given. the functions are: y=3xy=5xy=13x=3-xy=15x=5-x

Q: 1. Without graphing, classify each function below as linear, quadratic or exponential. a) y= 3x + 7…

A: We need to classify the following equations as linear, quadratic or exponential. a) y=3x+7 b) y=0.2x…

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: 15. What is an equation for the cubic function represented by this graph? y. 4 -4 -2 0 4 -2 -4 a)…

A: The multiplicities of the roots of a function, y=f(x) determine the nature of the graph. If the…

Q: (d) A line through the origin divides the region bounded by the parabola y= x – x² = x(1 – x) and…

A:

Q: 9. The graph of the quadratic function f(x)=c+bx-x intersects the y-axis at point A (0, 5) and has…

A: I am solving this in step 2

Q: のfc2)=x?+2%-8 b) £cx)=32°+ムつレー4 (0) E(x)= qx²-3x-2

A: Apply the quadratic formula to find the roots algebraically.

Q: Assume that the units of time are seconds, and the units of displacement are centimeters. The first…

A: A period is the amount of time taken to complete vibration cycle to pass over a specific place. The…

Q: 3. The shape of an underground pool follows a parabola with the function f(x) = x2 + 8x. What point…

A: we are given the equation of the parabola and we need to find out the lowest point of the parabola.

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

A:

Q: mple 3: Graph f(x) = -2(x + 1)2+5 • Determine if the graph open up or down (value of a) • Plot the…

A: The given function is f(x)=-2(x+1)2+5

Q: Determine the equation of the midline of a function whose graph is shown below 57 ,6.7 as a maximum…

A: From the given information, the amplitude of the function is a=4.3 and the function attains the…

Q: y = 1 a(a²+3) (a-x), where a > 0 forms a triangle in the first quadrant with the - and y-axes. (a)…

A:

Q: The diagram shows the graph of y = p(x+q)(x+r) where p, q and r are integers and q>r. (1, 27) y =…

A: