Suppose​ f(x) is a quadratic function such that its vertex lies on the​ x-axis. How many distinct zeros does f​ possess? What are their​ multiplicities? Using a few complete​ sentences, explain your position.

Q: 14.What are the zeros of the function represented by the quadratic equation g (x) = 2x ?

A: Given that gx=2x2 find the zeros of the function

Q: The graph of a polynomial f(x) = (2x – 3)(æ – 4)(x + 3) has x-intercepts at 3 x values. What are…

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercepts take f(x)=0

Q: sketch the polynomial function by finding all critical values. f(x)=x4-x3-20x2

A: Consider the function: fx=x4-x3-20x2 Differentiate the given function with respect to “x” then,…

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

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Q: Consider the polynomial function y = 2(x - 2)³ + 5 when investigating and analyzing. Mat domain…

A: Since you have asked multiple part question, we will solve the first 3 question for you as per our…

Q: Determine whether the statement, "The maximum value of y for the quadratic function f(x) = -x2 + x +…

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Q: Sketch the graph of the quadratic function f(x)=-2x2+6x-3. On the graph, show the values of x and y…

A: The given function is

Q: Find the absolute maximum and absolute minimum of f(x) =8x3+81x2-42x-8 on[-8,2]

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Q: Sketch the graph of the function by (a) applying the Leading Coefficient Test, (b) finding the real…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: It is possible for a third-degree polynomial function with integer coefficients to have no real…

A: To find whether the statement is true or false  Given, a polynomial of degree 3 with integer…

Q: Determine the real values of a, b, and c for the quadratic function Ax) = ax + bx+c, a +0 that…

A: Here we have to determine the real values of a, b, and c for the quadratic function f(x)=ax2+bx+c…

Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

Q: Determine the domain and range of the quadratic function. f (x) = -4(x + 7)2 – 5 Enter your answer…

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Q: 40. Express the quadratic function f(x) = x2 - x - 6 in vertex form, and sketch its graph (showing…

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Q: 11.What are the zeros of the function represented by the quadratic equa g (x) =- (x-4)?

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Q: Find all real zeros of f(x) = −2x4 + 2x2. Then determine the maximum possible number of turning…

A: To find the zero of the polynomial equate the fx=0.    -2x4+2x2=0-2x2x2-1=0 So, -2x2=0     x2=0…

Q: Find the maximum of f(x) = -x4 - 2*x3 - 8*x2 -5*x in the range of [-2, 1]

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Q: The quadratic function y = 2x² + 3x - 20 has zeroes at x = -4 and x Use this information to find the…

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Q: What is the maximum and minimum value of x^3 - 2^x = 0

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Q: How do I find a polynomial function with given zeros and multiplicities?

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Q: Find the maximum or minimum value of the quadratic function g(x) = 2x2 + 6x + 1. The ---Select---…

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Q: The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.…

A: We know that ,  The fundamental theorem of algebra states that you will have n roots for an nth…

Q: 1.The graphs of f(x) = (x+3)(x- 4) and g(x) = (x+ 3)(x- 4) Which graph represents which polynomial…

A: Given that:

Q: Express the quadratic function f(x) = x² - x - 8 in standard form. f(x) = Sketch its graph.

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Q: Sketch the graph of the function by (a) applying the Leading Coefficient Test, (b) finding the real…

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Q: Write the quadratic function in standard form. f(x) = x² + 18x + 78 f(x) = =

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Q: The Range of the quadratic function f(x) = -x² + 24x + 48 is, O [-48, 12]| о (), 12] O [48, 0) O…

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Q: Use the graph method to apprroximate the root of f(x) = x³ + 3x-5, and use the provided graph paper.

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

Q: The quadratic function y = 2x² + 3x - 20 has zeroes at x = -4 and x information to find the vertex…

A: We can find the vertex of the given quadratic equation as below.

Q: 12.What are the zeros of the function represented by the quadratic equation 9 (x) = (x+ 3) +3?,

A: Solution: The objective is to find the zeros of the given quadratic equation

Q: 10. Write the quadratic function f (x) = + 4x - 5 in standard form then write the vertex.

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Q: 5. Determine the zeros of 2x4 - 11x f(x) Verify your solution usir -

A: Given query is to find the factors of the function.

Q: 4. Explain and show all the possible number of x-intercepts (zeros) for a polynomial function with a…

A: Given: A polynomial function of degree 3.

Q: g(x) = In(4x - 3)

A:

Q: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: 4. Determine a possible equation for the polynomial function that corresponds to this graph.

A: Let's Solve,

Q: write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

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Q: Find a third degree polynomial function with zeros 3,-4, and -/-

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Q: The graph of polynomial function f(x)=a(x+1)^2(x−2) passes through point (0,2). Find the value of…

A: The graph of polynomial function f(x)=a(x+1)2(x−2)passes through point(0,2)

Q: How do you find a polynomial function with given zeroes?

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Q: 54. y 5+ -5 -4 -3 2 -1 2 3 4 5 -2- -3- -4+ -5+ 4. 2. 1.

A: We have to find the minimum degree polynomial function from the given graph.

Q: The function f(x)=-4x3-30x2+72x-6  is increasing on the interval ( ?, ?) It is decreasing on the…

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Q: onstruct a polynomial function with the following properties: fifth degree, 4 is a zero of…

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Q: Write the quadratic function in standard form. f(x) = -x² - 4x + 3 f(x) = Sketch its graph. f(x) 10-…

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Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

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Q: What is a cubic polynomial function in standard form with zeros -4, -5, and 4?

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