a. Find the y-intercept, the equation of the axis of symmetry, and the x- coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph the function. ↑ f(x) 1. f(x) = x² + 6x + 8

Q: For the function y=x-1, graph the points with the domain of {0,4,6,8,9}

A: Domain: Set of values of x or independent variable for which the value of y or dependent variable…

Q: For Exercise, estimate the x- and y-intercepts from the graph. 3-2 –1

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Q: Identify the domain, y-intercept, and 2x -6 x-intercept(s) of f(x) - x'-16 2х -6 By hand, sketch the…

A: Identify the domain, y-intercepts and x-intercepts of fx=2x-6x2-16 Sketch the graph of fx=2x-6x2-16

Q: the graph of the function y = -3x² + 2x-5 intersects the Oy axis at the ordinate point: a) 2 b) 5 c)…

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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: Suppose that the x-intercepts of the graph of y = f(x) are -3 and 7.  (a) What are the x-intercepts…

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Q: The graph below is y = f{x). 3 -1 -2 -3+ 2.

A: (a) Consider from the graph, The min fx in the interval -3,3 is at x=2, f2 =-2 . So min fx =-2. At…

Q: what is the end behavior of the graph f (x) = -0.5x^2 - 3x -4

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.4) 5+ 4- 2 1+ 4-3 -2 -1…

A: Steps: here you can there are two asymptotes at x =-2 and x=3. the asymptote at x=3 must have a…

Q: Consider G(x) = (x-1)4(x+2)   What are the x intercepts of the graph of y=G(x+2)

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Q: Use your graph of x2 + y2 = 1 to determine the relation’s domain and range.

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Q: 10. What should be the graph of the function y = (x – 4)² + 6? A B D

A: To Determine: the graph of the given equation. Given: we have y=(x-4)2+6 Explanation: we have an…

Q: What is the axis of symmetry for the function y = -3x² – 4? A. x = -3 B. x = -4 C. x = 4 D. x = 0 E.…

A: For one of the standard form of the parabola  y=ax2+bx+c The axis of symmetry is at x=-b2a.

Q: 6. Sketch the function, y-2r- and state the intercepts, domain and range 2- T-

A: Domain: It is set of value of the where the function is defined  Range: The set of value of the…

Q: snip

A: Given the function y=fx and its x-intercepts are -5 and 3 then factors of function would be -5 and 3…

Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) 5+ 1- 5-4 -3 -2 -1…

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Q: Suppose that the x-intercepts of the graph of y=f(x) are 2 and 6. What are the x-intercepts of…

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Q: Use the graph of y=f(x) to answer the following. y 4. 3+ 2+ -3 -2 3 -2- -3- -1

A: We can find the domain and range as below.

Q: Graph the function for the given domain. y =x2-2 D-2-1,0,1, 2)

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Q: Suppose the point (b, 0) is on the graph of f(x) = 8x – 16, then the value of b is Answer:

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Q: Find the x-intercepts of the given function.  y = 4x - 4x2 - 1

A: given the function: y=4x-4x2-1For finding the x- intercept , y=0

Q: How do the values of a, h, and k affect the graph of f(x) = a(x – h)² + k?

A: How do the values of a, h and k affect the graph of f(x) = a(x-h)^2+k?   (h, k) is the vertex of the…

Q: Find the x-intercepts of the given function.  y = 4 - 2x - x2

A: Our Aim is to find the x-intercept of the function given below:-y=4-2x-x2-(i)For x-intercept we will…

Q: Determine the x- and y-intercepts for the given function. B(x)=5x+8

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Q: Consider the graph of y=f (x) 7. -2 -1 10 -1

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Q: Write the equation for the final transformed graph. f(x) = x2; stretch vertically by a factor of 4,…

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.3) 5+ 4- 3 5-4-3 1 1 2…

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Q: Use the graph of f(x) = |x| to write an equation for the function represented by each graph. %3D (a)…

A: Here we have to give the equation of the graph given here.

Q: Given the function y = -5X2 a) Indicate the values of a, b) Graphically represent an

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

Q: Given the functions )-x-4 and gx)-x-1, a graph of the combined function y- most likely resembles a)…

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Q: f(x) = 2 x-6x-7 8-2

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Q: Find the extreme of the values of the function  y = x2 - 2x + 1

A: Given:y=x2-2x+1

Q: P3, sketch the graph of the function 3=メ-4X +3

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Q: Determine the x coordinate of the inflection point for the graph h(x) = x^2-3x^2+9x+8

A: In the mentioned equation, the term containing x2 is repeated two times. So we will treat the first…

Q: Find the exact x-intercepts of the function y = x - 4x³ - 20x² +48x + 135.

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Q: Complete the equation for the piecewise function graphed below. -7 -6 -5 -4 -3 -5 -6 if-6 < x < f(x)…

A: See below the answer

Q: 5+ 4+ 3 1+ + -7 -6 -5 -4 -3 -2 -1 1 2 \3 4 5 6 7 -2+ -3 + -4+ -5+

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.4) 5+ 4- 3- 2 56 -5 4…

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Q: what is the slope and the y-intercept of the function?  f(x)= 3x-4

A: We have to find slope and y intercept

Q: Suppose that the x-intercepts of the graph of y = f(x) are - 5 and 3.(a) What are the x-intercepts…

A: Given: x-intercepts of the graph  y=f(x) are -5 and 3

Q: Which graph could represent the function f(x)= -x-x² +5x? %3D 6. C. d.

A: To find the correct graph which represents the given function.

Q: A solar panel manufaccturer estimates tat the profit y (in dollars) generated by producing x solar…

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Q: Use the graph y3f(x) to graph the given function. y = f (x) 8 6. 2. -8 -6 -4 -2 6. -2 -4 -8. y 4.

A: Vertical Scaling : Suppose f is  a function and a&gt;0 . To graph y= af(x) , multiply all of the…

Q: suppose that the x-intercepts of the graph of y=f(x) are 4 and 7. What are the x-intercepts of…

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Q: Identify the y-intercept of the graph ofR(x) = [ 6(x - 1) ] / [ (x + 1) (x + 2) ] . (a) - 3 (b) - 2…

A: Rx=6x-1x+1x+2 To find y-intercept, put x=0, we get R0=60-10+10+2=-62=-3

Q: When Lauren left her house in the morning, her cell phone battery was partially charged. The charge…

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Q: write the function whose graph is the graph pf y=lxl+3 but is reflected about hte x axis

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Q: suppose that the x-intercepts of the graph of y=f(x) are: -7 and 2  what are the x-intercepts of the…

A: The x intercepts of the graph, y is given below.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.