Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also calls the standard form). f (x) = x2 – 6 x + 45 Give the vertex. Enter your answer as a point (a, b). Vertex: Enter the coordinates of the vertex to write f (x) in vertex form: f (x) = (x- Number )2+ Number Which of the following best represents the graph of this function, considering the location (quadrant) of the vertex and the direction that the graph opens?

Q: ist all the possible zeros of f(x)=2x4 -3x3-x+8 please write down the steps neatly thank you!

A: Given :

Q: The polynomial function f(x) = -0.27x3 + 9.2x2 - 102.9x + 400 models the ratio of students to…

A: Degree of f(x) is 3 and lead coefficient is -0.27  Because of the negative lead coefficient, the…

Q: Can the graph of a polynomial function have no y-intercept? Explain.

A: The main objective is to determine whether thye polynomial function can have no y-intercept or not.…

Q: seconds after being launched into the air: h(t) = -4t² + 24t + 62 Use the completing the square…

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Q: Express the function f (a) = 2x2 + 12x + 16 in standard form. Find the vertex and all intercepts.…

A: f(x)=2x2+12x+16=2(x2+6x+8)=2(x+2)(x+4)To find the vertex and intercept

Q: Complete the table of values, refer to standard form STANDARD FORM = f(x)= -x2+10x-25 %3D TABLE OF…

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Q: Write the quadratic function in standard form. h(x) = x² - 4x + 4 h(x) =

A: Please find attachment for the details solution

Q: Determine whether the given statement makes sense or does not make sense, and explain your reasoning…

A: Determine whether the given statement makes sense or does not make sense, and explain your…