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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 $f (x) = a x^{2} + b x + c, a \neq 0$ is a U-shaped curve. It opens upwards if $a > 0$ and it opens downwards if $a < 0$ . 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

Plot the points $(1, 5), (2, 6), (3, 9), (1, 12)$ in the Cartesian plane. Is the relation ${(1, 5), (2, 6), (3, 9), (1, 12)}$ a function? Why?

Match each graph to one the following functions.

$f (x) = x^{2} - 2 x + 1$

To graph $y = (x - 4)^{2}$ , you shift the graph of $y = x^{2}$ to the ______ a distance of ______ units.

Suppose that $f (x) = 4 x - 1$ and $g (x) = - 2 x + 5$

(a) Solve $f (x) = 0$ . (b) Solve $f (x) > 0$

(c) Solve $f (x) = g (x)$ (d) Solve $f (x) \leq g (x)$

(e) Graph $y = f (x)$ and $y = g (x)$ and label the point that represents the solution to the equation $f (x) = g (x)$ .

Match each graph to one the following functions.

$f (x) = x^{2} - 1$

See all solutions

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