2. Consider the graph of the function f(x) = -3x2 + 6x +1. (a) Find the axis of symmetry. (b) Find the y-intercept. (c) Find the x-intercepts, if any.

Q: 1. Sketch the graph of the function: 2x2+ f(x) = 3x-5

A: To sketch the graph of the given function.

Q: Use the graph of f(x) = √x to obtain the graph of g(x) = √(x - 4)

A: We first graph the parent function  f(x) = √x

Q: What is the effect on the graph f (x) = |3x -4| when it is replaced by f (x) + 3?

A: For tranformation of  f(x)→f(x)+a if a > 0  graph will shift a units up if a < 0 graph will…

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x - 3.

A: Given

Q: what is the decreasing interval for the following function: y = -1/4x-5

A: The given function is: y=-14x-5 The function f(x) decreases when f'(x) < 0.

Q: Explain how the graph of f(x) = 2Vx – I + 3 is related to the graph of y = Vx.

A:

Q: f(x) = (x + 4)(x − 2)^2 Determine the maximum number of turning points of the graph

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Q: neath the graph of f(x) = 7x³ about the y-axis ov

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Q: Q3/ Sketch the graph of f(x) = x+1

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Q: How is the graph of g(x)=(x-3) related to the graph of f(x) = x?

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Q: Use the graph of y = f(x) to sketch the graph of f'(æ). 10+ 7+ 6+ 5- 4+ 3+ 2-

A: In this question we will use basic of calculus i.e differentiation and sketching of curve. We will…

Q: Sketch the graph of y = f(2x) and y = f(x), where f(x) = \x| +1

A: The figure below shows the graph of y=f(2x)=2|x| + 1.

Q: Sketch the graph of y = f (x + 2) − 1, where f (x) = x2 for −2 ≤ x ≤ 2.

A: To sketch the graph

Q: 10 y = ((x)

A:

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

A:

Q: D) The x-intercept of the graph of f is -4.

A: Given that: The two points ( - 4, 0 ) and ( 2, - 8 ).

Q: Sketch the graph of the curve f(x)=3x³ - 3x + 2

A:

Q: How can the graph of f(x) = -(x -1 ) 2 +6 be obtained from the graph of y = x 2?

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Q: Given the graph of f (x) below and g(x) = 3x + 7 %3D which is the distance between the two y-…

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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: 3. Graph the function. - 2r+ 8 if x<4 (x) = 1 %3D

A: Here we have to graph the given function  f(x)=-2x+8 if x≤412x if x&gt;4

Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

A: Given : f(x) = x⁴ - 4x²    -----(i) We have to find point of inflection and the concavity of the…

Q: How is the graph of g(x)=f(kx) related to the graph of f when k = 5?

A:

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

A:

Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: line to the graph of y = f(x) at a = 5.

A: Given: -The equation of the tangent line to the curve y = f(x) at the point where a=5 is y=9x-4. To…

Q: Suppose that the x-values of the x-intercepts of the graph of y = f(x) are -6 and 5. What are the…

A: Add 3 in the x, We get (x+3) Shift the graph to the left by 3 unit.

Q: The graph of y =f(x+3)  is obtained from the graphof y = f(x) by shifting_________ 3 units.

A: Given, y =f(x+3)

Q: 2. How does the value of k affect the graph of f(x) = (x- h) + k?

A:

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

A:

Q: What is the smallest value for a such that (a,0) is an x-intercept for the graph of…

A: If point a,0 is an x-intercept for the graph of fx=4x3+11x2-8x-15, then it must satisfy the…

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: How can the graph of f(x) = -4|x| be obtained from the graph of y= Ixl?

A:

Q: The graph of y = -f(x) is the graph of y = f(x) reflected across the -axis.

A: Known fact: The graph of y=-fx can be obtained by reflecting the graph y=fx across the x-axis.

Q: 4) y= V4x + 8 -2 9-

A:

Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: Q3, sketch the graph of Hhe function y= x-4x +3

A:

Q: True or False The y-intercept of the graph of the functiony = f9x), whose domain is all real…

A: The intercepts are the points where the graph of the function crosses the axes.  When the graph of…

Q: Sketch the graph of y = f(2x) and y = f(½x), where f(x) = lxl + 1

A: It is given that, f(x)=|x|+1   and if y=f(2x), then the function will be, y=f(2x)⇒y=|2x|+1⇒y=2|x|+1…

Q: How would the graph of f(x) = ✔x be affected if it were changed to g(x) = -2✔x?

A: Because the 2 was multiplied with f(x), so f(x) will stretch vertically by a factor of 2.  Because…

Q: 5. Sketch the graph of v: R ® R, v(x) = 2x² – 5x – 3, indicating the X- and y-intercepts, and the…

A: Given: v(x)= 2x2-5x-3.

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: 2 / Sketch the graph of function y = + 3x

A: We have to sketch the graph of the given function   The given function is   y=2x+3x

Q: how can the graph of f(x)=1/(x-9)^2 + 7 be obtained from the graph of y= 1/x^2 ?

A:

Q: The axis of symmetry of the graph of f(x) = −2x² − 4 is the line y = 0. - Select one: True False

A: Given that the axis of symmetry of the graph of fx=-2x2-4 is the line y=0.

Q: Sketch the graph of f(x)=(x+2)³/²+1 stretch vertically by factor of 3.

A: Given: The function is, fx=x+23/2+1

Q: Sketch the graph of f.

A: Given that

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.

Q: How do you graph the function  f(x)= - (x+3)2 +1 Only by vertex?

A: Given information

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.