The graph of $$ k(x)=x^{3}-4 $$ needs to be horizontally stretched by a factor of 3 . What should the value of $$ b $$ be in the new function $$ h(x)=(b x)^{3}-4 $$ ? If your response is not a whole number, enter it as a fraction. (1 point)

Question

UpStudy AI · Accepted Answer

To horizontally stretch the function $$ k(x) = x^3 - 4 $$ by a factor of 3, you replace $$ x $$ with $$ \frac{x}{3} $$. This gives:

$$
h(x) = \left(\frac{x}{3}\right)^3 - 4 = \left(\frac{1}{3}x\right)^3 - 4
$$

Comparing this with $$ h(x) = (b x)^3 - 4 $$, we see that $$ b = \frac{1}{3} $$.

**Answer:** $$\frac{1}{3}$$
$$ b = \frac{1}{3} $$

The graph of needs to be horizontally stretched by a factor of 3 . What
should the value of be in the new function ?
If your response is not a whole number, enter it as a fraction.
(1 point)

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Algebra Questions

The graph of needs to be horizontally stretched by a factor of 3 . What should the value of be in the new function ? If your response is not a whole number, enter it as a fraction. (1 point)