. The graph of the function f(x) = ax2 + bx + c has vertexat 10, 22 and passes through the point 11, 82. Find a, b, and c.

Q: Is the point (1/2 , - 3/5) on the graph of the function h(x) = (x2 - 1)>(x2 + 1)?

A: The given function is: hx=x2-1x2+1 To check the point (12 ,-35) is on the graph or not, put x=12,…

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

A:

Q: Find a function whose graph is a parabola with vertex (7,8) and that passes through the point…

A: we have to find a function whose graph is a parabola with vertex (7,8) and that passes through the…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: To find the parabola equation in terms of x.

Q: determine from its graph if the function is one-to one.

A:

Q: The graph of f(x) = 4(x - 4)2 - 7 is a parabola that opens --Select--- v , with its vertex at (x, y)…

A:

Q: for the quartic function represented by this graph?

A: In the given question, the concept of quartic function is applied. Quartic Function A quartic…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given the vertex (h, k) = (2,-1) The parabola

Q: Find the maximum point for the function f(x) = 1 + 12x – 4x O (-1, -7) O (2, -7) O (0, 1) (1, 9)

A:

Q: f(x)%3DX²-2x+5

A:

Q: 6. Create a graph of the function: y = x(x – 2)²(x + 1) -

A: Graph of functions is given.

Q: For a curve to be symmetric about the x-axis, the point (x, y) must lie on the curve if and only if…

A: Consider a curve symmetric about the x axis.Then the point (x,y) lie on the curve if and only if the…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: As we know that: The standard equation of the parabola is: x-h2=4ay-k Where: vertex is at h,k   From…

Q: Find a function whose graph is a parabola with vertex (7, 8) and that passes through the point (6,…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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: Which graphs shows the function f (1): %3D 243z+2 17

A: Given

Q: The graph of f(x) = 3(x – 4)2 - 3 is a parabola that opens ---Select--- ♥ with its vertex at (x, y)…

A:

Q: Draw the graph of f(x) = 4² +4 10+ 7- 6- 4- 10 -9 -8 -7 -6 -5 -4 -3 -2 I 2 3 4 5 6 7 8 9 ic -1 -2 -3…

A: We know that, the graph of the function fx=4x is given as As we know that, the graph of the…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given,            Vertex =-1, 7 and Point =-3,-5

Q: Draw the graph of the function y = [x], where [x] denotes the greatest integer not greater than x.

A: Explanation: We will graph the function y = [x]

Q: Find the maximum and minimum values of the function Z = 8X1 + 5X2, subject to the following: 3X1 –…

A:

Q: Sketch a graph of: f(x) = 2|x+3|– 1 5+ %3D 4 -5 -4 -3 -2 -1 4 5 -1 -2- -3 -4 -5+ 2. 3. 2.

A: Answer is mentioned below

Q: Find a function whose graph is a parabola with vertex (1, −3) and that passes through the point (5,…

A: The parabola has a vertex at ( 1, -3) and passes through a point ( 5, 13 ).That is, (x, y) = ( 5,…

Q: Suppose (1,5) is a point on the graph of y=f(x). Name the point on the graph of y=3f(-4x-4)-2. SHOW…

A: our objective is to name the point on the graph of y=3f(-4x-4)-2.

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 a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Since the graph is of a parabola so the function must be a quadratic.

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: The standard equation of the parabola having vertex at (h, k) is given by, y-k=a(x-h)2

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: Suppose the point (2,4) is on the graph y=f(x). Find a point on the graph of the given function.…

A: y=f(x)+4 is 4 units higher than y=f(x).

Q: The graph of f(x) = -9(x – 8)² - 4 is a parabola that opens ---Select--- v , with its vertex at (x,…

A: Given,  fx = -9x-82-4    We have to find the opening of parabola, vertex and maximum and minimum…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: Find the global maximum of the function f (x) 2x³ + 3x? – 12x + 4 - on the interval [-4,2].

A:

Q: Sketch a graph of f(x) if r-2 if -2 4

A: Given,  f(x)=2x+6if x≤-20if -2<x≤41.5x-6if x>4

Q: Draw the graph of f(x) = 4ª -4 10+ 5- 4 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 I 2 3 4 5 6 7 8 -2- -3 -4…

A: We have to draw the graph of  f(x)=4x-4.

Q: The graph of f (x)%3D-x-5x+6 has the point (2, -8) on it. True O False

A: given function :

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: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

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: If the domain of f(x) = x2 – 2 is limited to {0,1,2,3}, what is the maximum value of the range?

A: The domain of a function f(x) are the set of x values for which the function f(x) is defined whereas…

Q: 7- -6 -5 -2 4 -5 -6 -7

A:

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: The standard form of a parabola is given as :

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: find a function whose graph is a parabola with vertex (1, -2) and that passes through the point…

A:

Q: Suppose point P (-2, -3) is on some function y=f(x) and is transformed to g(x) so that g(x) = 5f…

A:

Q: Find a function f whose graph is a parabola with vertex (2, 4) and that passes through the point…

A:

Q: Is the graph of g(x)=4x^3+9x^2+7x+3 concave up or down at the point with x-coordinate −2?

A:

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.