From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the gridlines.) (f + 9)(8) = (f – 9)(8) = (fg)(8) = (8)

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A:

Q: The graph of quadratic function f is shown on the grid. What is the y-intercept of the graph of f?…

A: The graph of a quadratic function f is given by To evaluate : y-intercept of the graph of f

Q: The graph of the square root function whose equation is: g(x) = Vx - 3 +5 %3D is moved two units to…

A: To find: The new equation if graph of gx=x-3+5 is moved 2 units right and 3 units down. Concept…

Q: The graph of y = 5(x) is obtained by a/an stretch of the graph of y = f(x) by multiplying each of…

A: Given graph is y=f(x).

Q: Let f(x) = -0.4x² + 9x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Giveen query is to find the x coordinate of the vertex.

Q: The graph of y = 5f(x) is obtained by a/an _______stretch of the graph of y = f(x) by multiplying…

A:

Q: . A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1). Which statement…

A: Given that,

Q: 3 Graph the equation f(x) = - I + 4. 4 4 2- -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 3.

A: This question is about graphing the line

Q: The graph of the function y=-x + 4x is: 12 10 8 6 4 <-12-10 -8 -6 -4 -2 2. 4 10 12 -2 -6 18 10 Find…

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Q: Quadratic function fis shown on the graph. y 10 8- 6- 2- -10 -8 -6 -4 -2 6. 8. 10 f

A: Function f is symmetric around the point (4,-1).

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: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: From graph, it is clear, f(-1)=1, g(-1)=4 Now,

Q: The graph of g(x) = ax2 opens downward and is narrower than the graph of f(x) = x2  what is value a?

A:

Q: 6) Discuss the concavity of the graph of ƒ (x) = x* – 2æ³ + 1 and find its points of inflection.

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Q: The graph of a quadratic function f(x) is shown above. It has a vertex at (2, 1) and passes the…

A: The graph of a quadratic function fx has vertex 2,1 and passes through the point 0,-1. Standard…

Q: Gues ALGEBRAI PRACTICE/ SECTION 1/ 40F 9 In the following table, indicate which of the relationships…

A: Verify the features in the relationships J and K. 1. A distance of 5 units between its x-intercepts.…

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: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A:

Q: 11. The general equation for a family of quadratic functions is y = a(x + 1)(x - 3). Find the…

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Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: We use the definition of the pointwise addition, subtraction, multiplication and division of…

Q: The graph of f(x) = x2 – 7 is horizontally stretched by a factor of 4.5. Write the equation…

A: Here the graph of f(x)=x²-7 is horizontally stretched by a factor of 4.5.  We want to write the…

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: From the graph we calculate that f(8) = (-3) and g(8) = 3

Q: A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (-4,…

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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: 4) Sketch the graph the quadratic function. Give the vertex and axis of symmetry. f (x) = -x² –1 %3D…

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Q: The graph of a quadratic function f(x) is shown above. It has a vertex at (2, 1) and passes the…

A:

Q: Select the root(s) of the quadratic function f (x) = x2 + x - 6 -3 -2 -6 6 The y intercept point of…

A: We have to check

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: Formula Used:

Q: The graph of quadratic function k is shown on the grid. 12 11 10 -4 -3 2 -8 -7 -6 -5 -4 -3 -2 -1 1…

A:

Q: The graph of y = -9|x+3|-5 can be obtained from the graph of y= |x| by shifting horizontally…

A: Given

Q: 4. Graph the equation: f(x) = -3, 4, 1/² x + 1²/₁ x<-2 -2 ≤ x ≤ 1 1 < x≤ 4 -3 - 5+ 4+ 1 + 3+ 2+ 1…

A: f(x) = -3 , x &lt; - 2 x -3 -5 -7 f(x) -3 -3 -3 f(x) = 4 , -2 ≤ x ≤ 1 x -2 0 1 f(x) 4 4…

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

A:

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: From the above graph, f(-1)=1 and g(-1)=4. So,        (f+g)(-1)=f(-1)+g(-1)                     =1+4…

Q: 3.If a quadratic polynomial curve in the shape of semi-circle is shown below. Then, the equation of…

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Q: The graph of a quadratic function has an axis of symmetry at x=3, passes through the point (1,6) and…

A: A quadratic function is a polynomial of second degree. The graph of a quadratic function is always a…

Q: f (x) = x² . – 6x + 5 - Show the coordinates of at least FIVE points (including the vertex and all…

A: fx=x2-6x+5 It can be written as, ⇒fx=x2-6x+9-4⇒fx=x-32-4 Now comparing with fx=x-h2+k, we get h=3…

Q: b. The graph of f(x) = V is horizontally compressed by a factor of then shifted to the left 3 units…

A: I have appended the concept used in the solution part.

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: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: The objective is to find 1.(f+g)(2),   2. (f-g)(2)    ,3. (fg)(2)  and 4. (f/g)(2)

Q: The graph of f(x) = x² is shown on the grid. -12 10 -2 -1 Which statement about the relationship…

A: Here, f(x)= x^2. g(x)= 7.x^2.

Q: 8-35. Consider the following types of graphs. Which graphs are polynomial functions? a. parabolas b.…

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Q: Select the root(s) of the quadratic function f (x) = x2 + x - 6

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Q: The graph of a quadratic function f(x) is shown above. It has a vertex at (2, 1) and passes the…

A: It is an downward parabola whose general equation is of the form(x-h)2 = 4a(y-k)       ..(i)where…

Q: 3. Sketch the graph of f(x) = 2x2 – 5x – 6. Find all intercepts and the vertex.. 10 x-intercepts: 8.…

A: To find x intercepts we set f(x)=0 and solve for x Answer: x-intercepts: 3.386 and -0.886

Q: Find an equation for the graph sketched below 8+ 7- 3- 24 -5-4 -3/-2 -1 1 2 3 4 5 -2 2 -3 -4 -5 -6…

A: Given:   Graph is given.     Point: ( 0 , 4 )

Q: Find the quadratic function y=ax2+bx+c whose graph passes through the given points.   ​(1​,−1​),…

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Q: Find the vertex of the graph. f(x) = −x2 + 6x + 1

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Q: Find the maxima, minima, and saddle points of ƒ(x, y), if any,given that ƒx = 2x - 2 and ƒy = 2y - 4…

A: Given: fx=2x-2 and fy=2y-4.

Q: Find the values of k for which the graphs of y=2k – kx and the quadratic y = x - x-1 intersect at i.…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 6. 2. The graph of quadratic function / is shown on the grid. Which of these best represents the…

A: Here we find domain of functions using graph.

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.