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Chapter 3: Q. 5 (page 155)

The graph of a quadratic function is called a _________.

Short Answer

Expert verified

The graph of a quadratic function is called a parabola.

Step by step solution

01

Step 1. Given information.

The given statement is:

The graph of a quadratic function is called a _________.

02

Step 2. Determine the missing term for the blank.

The graph of a quadratic function f(x)=ax2+bx+c,a鈮�0is a U-shaped curve. It opens upwards if a>0and it opens downwards ifa<0. These types of curves are known as parabolas.

03

Step 3. Conclusion.

The graph of a quadratic function is called a parabola.

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Most popular questions from this chapter

If f(x)=2x+3, 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)=x2+4x+2

Graphy=2x-3.

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)=23x2+43x-1

Determine the quadratic function whose graph is given.
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