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Chapter 3: Q. 6 (page 155)

The vertical line passing through the vertex of a parabola is called the ______________.

Short Answer

Expert verified

The vertical line passing through the vertex of a parabola is called the axis of symmetry.

Step by step solution

01

Step 1. Given information.

The given statement is:

The vertical line passing through the vertex of a parabola is called the _____________.

02

Step 2. Determine the missing term for the blank.

The lowest or highest point of a parabola is called the vertex.

The vertical line passing through the vertex in each parabola is called the axis of symmetry of the parabola.

03

Step 3. Conclusion.

The vertical line passing through the vertex of a parabola is called the axis of symmetry.

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Most popular questions from this chapter

Graph the function $f$ by starting with the graph of $y = x^{2}$ and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write $f$ in the form $f (x) = a (x - h)^{2} + k$ .

$f (x) = 2 x^{2} - 4 x + 1$

Match each graph to one the following functions.

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

In Problems 25–32, use the given functions f and g.

$(a) f (x) = 0 (b) g (x) = 0 (c) f (x) = g (x) (d) f (x) > 0$

$(e) g (x) \leq 0 (f) f (x) > g (x) (g) f (x) \geq 1$

$f (x) = - x^{2} + 3 g (x) = - 3 x + 3$

Match each graph to one the following functions.

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

If $h (x) = - 3 x + 4,$ 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.

See all solutions

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