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Chapter 3: Q. 7 (page 155)

The x-coordinate of the vertex of f(x)=ax2+bx+c,a鈮�0, is ________.

Short Answer

Expert verified

The x-coordinate of the vertex of f(x)=ax2+bx+c,a鈮�0, is -b2a.

Step by step solution

01

Step 1. Given information.

The given statement is:

The x-coordinate of the vertex of f(x)=ax2+bx+c,a鈮�0, is ________.

02

Step 2. Determine the missing term for the blank.

The vertex of a quadratic function f(x)=ax2+bx+c,a鈮�0is:

Vertex=-b2a,f-b2a

03

Step 3. Conclusion.

The x-coordinate of the vertex of f(x)=ax2+bx+c,a鈮�0, is-b2a.

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Most popular questions from this chapter

If g(x)=5x-4,then

(a) Determine the slope and y-intercept of each function.

(b) Use the slope and y-intercept to graph the linear function.

(c) Determine the average rate of change of each function.

(d) Determine whether the linear function is increasing, decreasing, or constant

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

f(x)=12x2+x-1

Match each graph to one the following functions.

f(x)=x2+2x

If h(x)=-3x+4,then

a) Determine the slope and y-intercept of each function.

(b) Use the slope and y-intercept to graph the linear function.

(c) Determine the average rate of change of each function.

(d) Determine whether the linear function is increasing, decreasing, or constant.

Determine the quadratic function whose graph is given.
See all solutions

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