Explain why the vertex is important when you are trying to find either the maximum y-value or the mini- mum y-value on the graph of a quadratic function.

Q: Example 1: Determine the maximum or minimum of the equation y=-4x² +24x - 35

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Q: Give the domain and the range of the quadratic function whose graph is: Minimum = 18 at x = -6

A: Given, The minimum of the graph of quadratic function is 18 at x = -6

Q: Explain how the graph of f1x2 = mx + b can be used to solve mx + b 7 0.

A: we have to explain how the graph of f(x)= mx + b can be used to solve mx + b >0.

Q: Sketch the graph of a quadratic function y=x² + 3 and identify the following: 15. Vertex 16.…

A: Given query is to graph y = x2+1 and identify its key points.

Q: Find the vertex of the graph of the quadratic function and determine whether it's an absolute…

A: Given y=x2+18x+83 Find Vertex of the graph and determine whether it's an absolute maximum or…

Q: Explain what part of the equation determines whether the vertex is a maximum or a minimum. Use the…

A: Standard equation  y= ax2 +bx+c

Q: Which graph bests represents a quadratics function that has ONLY ONE solution?

A: To find the graph which has only one solution from the given graphs

Q: Explain what part of the equation determines whether the vertex is a maximum or a minimum. Use the…

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Q: Use this graph of y = 2x - 12x+ 19 to find the vertex. Decide whether the vertex is a maximum or a…

A: The graph of y= 2x² - 12x + 19 is given by

Q: What is the domain of the quadratic graph?

A: as we can see, here function is continuous on -∞ , ∞

Q: Give the domain and the range of the quadratic function whose graph is described as : Minimum = 18…

A: We have to find domain and range of the quadratic function whose graph has minimum 18 at x=-6

Q: Give the domain and range of the quadratic function whose graph is described. the vertex is (-5,-2)…

A: We know that when the parabola opens upward , the vertex is the minimum point of the parabola.

Q: For g(x)=1/4x2 -2x+6, Is the vertex is a minimum value or maximum value?

A: If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value…

Q: determine the vertex by completing the square. State whether the vertex represents a maximum or a…

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Q: Draw the graph of a quadratic function that has a vertex at (−2,5) and has a y-intercept of 3. Make…

A: Quadratic function and it's graph

Q: 1. Is it possible for the graphs of two different quadratic functions to each have x= -3 as its line…

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Q: Find the maximum value of f(x) = -3x² + 6x - 5 without a calculator. Hint: Use the vertex formula!

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Q: If the revenue function is           R=500x-2x2  a)  Find the vertex .  b) What is the maximum…

A: Given revenue function is                                                              R=500x-2x2…

Q: Give the domain and the range of the quadratic function whose graph is: The vertex is (-3, -4) and…

A: Domain:   The set of values of x for which function is defined or exist.…

Q: h f(x) = 6x² or g(x) = -6x²,

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Q: Explain the relationship between the multiplicity of a zero and whether or not the graph crosses or…

A: We have to determine the relationship between the multiplicity of a zero and whether or not the…

Q: Is the graph of r(x)=4x3−2x2+9x−2 concave up or down at the point with x-coordinate −1?

A: Given          r(x) = 4 x³ - 2x² + 9x - 2 For checking concave up or down we have to differentiate…

Q: What is the vertex of g (x) = (x + 3)+3?

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Q: Find the relative minimum point, maximum point, point of inflection and Sketch the graph of the…

A: Here, we need to find the relative minimum point, maximum point, point of inflection of the function…

Q: The back of Jill's property is a creek. Jill would like to enclose a rectangular area, using the…

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Q: What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?

A: At the vertex derivative of y is equal to zero.

Q: Find the rule of the quadratic funtcion whose graph satifies the following conditions: The vertex is…

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Q: Explain how you know from a quadratic function if it has a minimum or maximum. Consider the vertex…

A: To find if a quadratic equation has a maximum or a minimum

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Sketch the graph of y = x 2 + 4x + 6 by plotting the minimum point, the y-intercept, and one other…

A: Since the leading coefficient is 1, which is positive. So this parabola will have its minimum value…

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: Find the coordinates of the vertex at y=-3x² + 5x -2?

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Q: Explain how to find the vertex, domain, range, and minimum/maximum of quadratic functions.

A: we have to explain how to find the vertex, domain, range and minimum/maximum of quadratic functions.…

Q: Give the domain and the range of the quadratic function whose graph is described as : The vertex is…

A: Given, The vertex of parabola is (-1,-2) Parabola opens up.

Q: Suppose that the profit a company makes from selling x units of a product is given by : P(x) = -2x²…

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Q: Select the graph of the quadratic function below. Glve the minimum or maximum value and the axis of…

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Q: Draw the graph of y = 3x2 + 6x − 24 and label its minimum

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Q: Graph the functien Q1 y= 2 :-

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Q: What are the essential parts of a quadratic graph?

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Q: I graphed a parabola that opened to the right and contained a maximum point.Determine whether the…

A: I graphed a parabola that opened to the right and contained a maximum point.

Q: 3. Write the function defined by fx) = -2x2- 12x in vertex form and identify the vertex of the…

A: Given,

Q: Select the graph of the quadratic function beow. Glve the minimum or maximum value and the axis of…

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Q: Select the graph of the quadratic function below. Glve the minlmum or maximum value and the axis of…

A: Consider the given function: gx=x2+3 For a parabola y=ax-h2+k, the vertex is the highest or the…

Q: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

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

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Q: maximize: z 680x, + 250x2 subject to: x1 + 5x2 < 40 X1 2 0, x2 2 0 (HINT: If you decide to graph, it…

A: To solve the following inequalities using graph

Q: What is the optimal value of the quadratic relation y = - 5 x^2 + 10?

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Q: Sketch the graph of the quadratic function y= 3x2+6x-9.Be sure to label the axes,provide an…

A: The given quadratic function is           y= 3x²+6x—9 x intercept is the point at which y coordinate…