The vertex of the parabola f(x) = x² + 14x + 4 is о (-7, -41) о (-21, —45) о (-14, -45) о (-7, -45) о (-14, —21)

Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  Vertex: (2/3 ,…

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Q: b) Draw the parabola with a minimum value of -8, zeros at 2 and -2 and y – intercept of -8.

A: Answer

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

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Q: The vertex of the parabola f(x)= x2 + 16x + 6 is 0(-16,-40) O (-8,-52) O (-24,-58) O (-16,-58) O…

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Here given an equation of the parabola

Q: The vertex of the parabola f(x)= x² + 20x +7 is %3D о (-30, —93) O (-20, –60) о (-10, —93) O (-10,…

A: The function is given by: fx=x2+20x+7 Let y=fx y-7=x2+20x Use complete the square method to get:…

Q: Determine the equation of the parabola whose graph is given below. 5 4 3 -7 -6 –5 –4 -3 -2 1 2 3 5 6…

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Q: There is a parabola which has a minimum where the two lines 3x+6y-1=0 and 2x+ y-2=0 intersect. The…

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Q: Sketch the parabola f (x) = 2x2 - 4x.

A: Given: f(x) = 2x2-4x To sketch: The given parabola.

Q: 7. Determine all values of a that will cause the parabola y=ax² +10x+1 to cross the x-axis at two…

A: 7) y=ax2+10x+1 ...................eq (1) For parabola to cross the x- axis put y=0 0=ax2+10x+1…

Q: The vertex of the parabola f(x) = x² + 6x + 5 is о (-3, -4) О (-9, —4) О (-6, —4) о (-3,1) о (-6, —…

A: Find the vertex of the parabola of the function y=f(x)

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: Draw the parabola y=7-x^2.

Q: The vertex of the parabola f(z) = + 6z + 7 is O (-3,-2) O (-6,-18) O (-6, -2) O (-3,5) O (-9,-2)

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

Q: The vertex of the parabola f(x) = x2 + 20x + 3 is О (-30, -97) O (-20,-97) о (-20,-20) О (-10, -94)…

A: Given Parabola is y=f(x)=x2+20x+3 find the vertex of the parabola

Q: A parabola with vertex (2, –3)and y-intercept (0, 5) can be expressed in vertex form as f(x) = (x –…

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Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: Topic = Application of Derivative

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: Find the vertex of the parabola. y = 3x² - 1 О (0, (0, –1) O (-1, 3) O (-1, 0) (3, –1) (0, 3)

A: topic - parabola

Q: A point moves on the parabola y2 = 8 in such a way that the rate of change of the ordinate is always…

A: The given parabolic curve is, y2 = 8x    ...(1)   It is given that the rate of change of ordinate is…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=9−x2…

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Q: The vertex of the parabola f(x) =-(z-9)² + 2 is

A: Given function of parabola is, f(x) = -(x-9)2+2

Q: 17. If f(x) =x -6x +14 and g(x) -x -20x -k, determine the value of k so that there is exactly one…

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Q: Graph the parabola: f(x)=0.5x^2-2. Show all work.

A: We have given a function,

Q: The point (1,2) lies on the parabola: y 3x2 -2x+2 %3D

A: Thanks for the question :)And your upvote will be really appreciable ;) False statement (1,2) does…

Q: Determine the vertex for the following parabola. f (x) = 7x2 + 3x – 4 -

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Q: Please confirm if the selected answer is correct ?

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Q: Consider a parabola that intersects the x-axis at points (-1, 0) and (3, 0).

A: We need to find an equation of parabola that intersects the x-axis at (-1, 0) and (3, 0). Thus,…

Q: The vertex of the parabola f(x) = – 2(x+2) - 3, is O a. (2, 3) Ob.(-2, -3) OC (2, -3) O d. (-2, 3)

A: As per the company guidelines we can solve one question. I hope that the given solution will help…

Q: The vertex of the parabola f(x) = x2 + 14x + 4 is о (-21, -45) о (-7, -45) о (-14, -21) о (-14, —45)…

A: The given parabolic equation is   f(x) = x2 + 14x + 4 the given equation of parabola is in the…

Q: Find the equation of a parabola that has a vertex of (-2, -1) and contains the point (0, 3).…

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Q: 17. If f(x) = x-6x +14 and g(x)-x -20x -k, determine the value of k so that there is exactly one…

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Q: How do I solve this optimization problem?

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Q: Determine the vertex of each parabola. 1. f(x) = x² + 2x – 15 - axis of symmetry: x = -1

A: We have to find vertex

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. 2(x -…

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: We have to find the coordinates of the vertex for the parabola defined by the quadratic function…

Q: 5. Given the following parabola, f, -5 -4 -3 -2 -1 -6-5 -4 3-2 -1, 0 1 234 5/ 67 -2 -3 -6

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)…

A: The quadratic function is given by fx = 2x-32+1 To evaluate : The vertex of the parabola defined by…

Q: The vertex of the parabola of f(x)= x²+8x is

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Q: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

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Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

A: Given: f(x) = -2x2 + 8x - 1

Q: The vertex of the parabola f(x) = x² + 10x + 6 is о (-5, —13) о (-5, —19) о (-10, —19) о (-10, — 25)…

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Q: 17. If f(x) = x -6x +14 and g(x)- x -20x -k, determine the value of k so that there is exactly one…

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Q: The vertex of the parabola f(z) = z² + 18z + 7 is %3D о (-18, -54) O (-9,-67) о (-9, -74) о (-18,…

A: The given parabola equation is f(x) = x2 + 18x + 7

Q: The vertex of the parabola f(x) = a+ 14z + 10 is %3D о (-14, -63) о (-21, -39) о (-14, -39) о (-7,…

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Q: The a value in the function f(x) = 2x2 makes the parabola %3D O more wider moves it left

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Q: Find an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and…

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.