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Chapter 2: Q. 22 (page 113)

Write the function whose graph is the graph of $y = x^{3}$ , but is:
Shifted down $4$ units.

Short Answer

Expert verified

The function is $y = x^{3} - 4$

Step by step solution

Step 1. Given function

The given function is $y = x^{3}$

Step 2. Find the function for graph shifted down 4 units.

If the graph is shifted down by $k$ units that means $k$ is subtracted to the right side of the function.

Therefore, the new function will be $y = x^{3} - 4$

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Most popular questions from this chapter

Suppose that the graph of a function f is known. Then the graph of $y = f (x - 2)$ may be obtained by a(n) ________ shift of the graph of $f$ to the ________ a distance of $2$ units.

In Problems $19 - 26,$ write the function whose graph is the graph of $y = x^{3}$ but is:

Shifted to the left $4$ units

In Problems 7–18, match each graph to one of the following functions:

$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

An equilateral triangle is inscribed in a circle

of radius r. See the figure. Express the circumference Cof the circle as a function of the length x of a side of the triangle.

[Hint: First show that $r^{2} = \frac{x^{2}}{3}$ .]

If $(1, 3)$ is a point on the graph of $y = f (x)$ , which of the following points must be on the graph of $y = 2 f (x)$ ?

See all solutions

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Write the function whose graph is the graph of y=x3, but is:Shifted down 4units.

Short Answer

Step by step solution

Step 1. Given function

Step 2. Find the function for graph shifted down 4 units.

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Most popular questions from this chapter

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Write the function whose graph is the graph of $y = x^{3}$ , but is:
Shifted down $4$ units.