Given; f(x) = -x4 + 6x3 - 9x2 , Solve; a. Use the Leading Coefficient Test to determine the graph’s end behavior. b. Determine whether the graph has y-axis symmetry, origin symmetry, or neither. c. Graph the function.

Q: For what values of k will the graph of y=9x2 +3kx+k have no x-intercepts?

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Q: If r is an x-intercept of the graph of y =   ƒ(x), what is an x-intercept of the graph of the…

A: To find: The x- intercept of the graph of y=f-x. Given: The  x- intercept of the graph of y=fx is r.…

Q: • Determine and draw the graph of the following equation in R3 : x2 + 212 + 2 8x + 12y – 2z + 35 = 0…

A: This is a problem of multi variable calculus, 3D geometry.

Q: Identify and sketch the graph of y = x² + 1 in R³.

A: Any point on the three dimensional coordinate system R3 can be represented by the point: x, y, z. A…

Q: The graph of quadratic parent function fwas transformed to create the graph of g(x) = f(x+ 2) – 5.…

A: From the value we can say that the best suitable graph is H.

Q: The graph of y=5x*-x³ has a point of inflection at (A) (0, 0) and (4, 256) B (0, 0) and (3, 162) (3,…

A: Given graph,y=5x4-x5Aim : To find point of inflection.

Q: Graph f(x) = x2 + 4x - 5 by determining whether thegraph opens up or down and by finding the vertex,…

A: Given, f(x)=x2+4x-5 function intercept on x-axis at y=0 x2+4x-5=0x2+5x-x-5=0xx+5-1x+5=0x+5x-1=0 so…

Q: Sketch the graph of each quadratic function and compare it with the graph of y=x^2. A)  g(x)=-x^2+4…

A: We draw the graph of each function one by one Graph of y=x2

Q: . Graph f(x) = 2x2 - 4x + 1 by determining whether itsgraph opens up or down and by finding its…

A:

Q: Match the equation with its graph. x² + 2z2 = 1

A: Graph of  x^2 +2z^2 =1 is

Q: compared to the graph y=f(x), for any f(x), what does the graph of 2f(x-3)+5 look like?

A: Let y = f(x) = x2  The graph of y = f(x) = x2 looks like

Q: Sketch the graph of the quadratic function g(x) = (x - 3)^2 - 1. Be sure to include and clearly…

A: Let's prepare a set of points: x g(x) 0 8 1 3 2 0 3 -1 4 0 5 3 6 8 7 15

Q: Find the x- and y-intercepts of the graph of y = x3 − 4x.

A: Concept - We obtain x-intercept by putting y=0, and the points obtained are x, 0.We obtain…

Q: Use the five-step strategy to graph f(x) = 2(x + 2)2(x - 3).

A: The given function is a polynomial function, so it is continuous everywhere and thus, it has no any…

Q: Graph f(x) = – 2x² – 20x – 42 below by first selecting - - the correct shape, clicking the vertex,…

A:

Q: Determine whether the graph of q(x) = -6x³ – 7x² + 8x + 2 is concave up or down at the point with an…

A: Given that the function  qx=-6x3-7x2+8x+2 Determine whether the graph of given function is concave…

Q: What is the graph of y = f(x+ 1) - 2?

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Q: The x-intercepts of the graph of an equation are thosex-values for which______

A: The x-intercepts of the graph of an equation are those points on the graph where it crosses the…

Q: Find the intercepts of the graph of h(x) = 3 | x + 2 | - 1.

A: The x-intercept of a graph is a point where the graph meets the x-axis. The y-intercept is the point…

Q: Which graph represents f (x) = -V4x + 5?

A: The given function is f(x)=-4x+5

Q: For what values of x does the graph of y=3x5+10x4 have a point of inflection?

A: f(x)= 3x5 + 10x4 differentiate with x f'(x)= 15x4 + 40x3 f''(x)= 60x3 + 120x2 = 60x2(x+2)

Q: Use the five-step strategy to graph f(x) = x3 - 3x2.

A: The given function is x3-3x2 The main objective is to plot a graph for the given function x3-3x2…

Q: 4- Graph the function: |3x2 + бх — 24 x* + 4x – 5 -

A: See the attachment

Q: Show complete solution Plot the graph of y(t)=3-2x(-2t-1) by transforming the graph of x(t)

A: y(t)=3-2x(-2t-1) x(t)=t+2.5,-2.5≤t<0 seconds2.5,0≤t≤2.5 seconds0,otherwise

Q: Sketch the graph of each quadratic function and compare it with the graph of y = x2. (a)…

A: Given parent function, y = x2.

Q: Suppose that f1x2 = x2 + 4x - 21.(a) What is the vertex of f ?(b) What are the x-intercepts of the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Graph f(x) clicking an x-intercept. = x2 + 10x + 24 below by first selecting the correct shape,…

A: From the given problem:    fx=x2+10x+24   As we know that:   The vertex of parabola up-down: if…

Q: the graph of y = x³ - 6x² + 9x - 2 where the t

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Q: Find the x-intercepts of the graph of f(x)= 4x2 + 8x - 3.

A: Given :            f(x) = 4x2 + 8x - 3

Q: Which graph best representsthe solution se of y -4x? A

A:

Q: Where is the graph of R(x) = x3 - 8/x2 - 25above the x-axis?

A: The graph of the equation x3-8x2-25

Q: Graph f(x) = x² + 6x + 8 below by first selecting the correct shape, clicking the vertex, then…

A: Given the curve f(x)=x2+6x+8 We need to sketch the graph by identifying the correct shape , vertex…

Q: What is the vertex for this equation? f (x) = – (x + 3)² + 1 %3D

A: The given equation f(x)=-(x+3)2+1

Q: Given the graph of y = f(x) = x, sketch the graph of y =-2x-4 +3 .

A:

Q: Sketch the graph of each quadratic function and compare it with the graph of  y = x2. (a)     f(x)…

A: topic - translation of a function

Q: Plot the graph of Y=3x – 4 between x= -2 and x=4

A: Given equation: Plot the graph of y = 3x-4: The graph is:

Q: How do you obtain the graph of y = f13x) from the graph of y = f(x)?

A:

Q: Graph the function y x2 + 4x + 1. What is the y-intercept of the function you graphed? What is the…

A: to graph the given function

Q: Which of the following is the graph of g(x)-2x-2 ?

A: Follow next step

Q: 9. If you were to graph f (x) = 2x2 + 4x – 6 , what would the coordinates of the vertex be? What…

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Q: y> -3x- 3

A:

Q: Is the graph of r(x) = -8x3 – 7x² + 2x +3 concave up or down at the point with r-coordinate –2?…

A:

Q: Graph f(x) a?- 6x +8 below by first selecting the correct shape, clicking the vertex, then clicking…

A: We need to draw the graph of f(x)=x2-6x+8

Q: Given f(x) = 5x - 30x + 49

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Q: In the xy plane, the graph of the function f(x) = x2 + 5x + 4 has two x-intercepts. What is the…

A: x- intercepts are the points where the function touches the x-axis. So if the function touches the…

Q: Find the vertex and axis of symmetry of the graph f(x)= -3(x-1)^2+2 then plot points and complete…

A: To analyze the parabola with the given equation

Q: Select the graph that has the same point of inflection as f(x) = x³ – 6x² + 12x – 8

A:

Q: The turning point on the graph of y 7x2 + 21x – 8 is at -

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Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

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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.